Let's Do Mathematics 3 – Worktext A by Regal Education

Workt ext

for learners 8 - 9 years old

Aligned to the US Common Core State Standards

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Workt ext

for learners 8 - 9 years old

Let’s Do Mathematics

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Let’s Do Mathematics is a series covering levels K-6 and is fully aligned to the United States Common Core State Standards (USCCSS). Each level consists of two books (Book A and Book B) and combines textbook-style presentation of concepts as well as workbook practice.

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Central to the USCCSS is the promotion of problem-solving skills and reasoning. Let’s Do Mathematics achieves this by teaching and presenting concepts through a problem-solving based pedagogy and using the concrete-pictorial-abstract (CPA) approach. Learners acquire knowledge and understanding of concepts through a guided progression beginning with concrete examples and experiences which then flow into pictorial representations and finally mastery at the abstract and symbolic level. This approach ensures that learners develop a fundamental understanding of concepts rather than answering questions by learned procedures and algorithms. Key features of the series include:

Anchor Task

Numbers to 10,000

Anchor Task

Open-ended activities serve as the starting point for understanding new concepts. Learners engage in activities and discussions to form concrete experiences before the concept is formalized.

Let’s Learn

Concepts are presented in a clear and colorful manner. Worked problems provide learners with guided step-by-step progression through examples. Series mascots provide guidance through helpful comments and observations when new concepts are introduced.

When we take a whole and divide it into equal parts, we get fractions. The whole orange is cut into 2 equal pieces. Each piece is a half which we write as 1 .

into 4 equal pieces

. Each piece is a quarte r.

2 halves make 1 whole.

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Let’s cut an apple

1 2

1 whole

half

The numbers of a

1 2

half

fraction have specia l names.

1 2

1 4

1 whole

quarter

1 4

quarter

1 2

The top number is called the numerator.

The bottom numb er is called the denom inator. A half has a numerator of 1. ...and a denominator of 2!

1 4

quarter

1 4

quarter

4 quarters make 1 whole.

Ethan eats 3 pieces of the apple. We say he eats 3 quarte apple. We can write rs of the this as a fraction 3 . 4

1 4

I ate 3 quarters of the apple!

1 4

212

213

Let’s Practice

and her baby A mother elephant of 4,670 kg. have a combined mass of 482 kg The baby has a mass is the mother? How much heavier

Let’s Practice

drive 1,205 km A truck driver has to stops for a to deliver his load. He destination. rest 478 km from his d? How far has he travele

Learners demonstrate their understanding of concepts through a range of exercises and problems to be completed in a classroom environment. Questions provide a varying degree of guidance and scaffolding as learners progress to mastery of the concepts.

Step 1 mother. Find the mass of the ?

478 km trip remaining

trip traveled

–

1,205 km

– The truck driver has 2.

mother

baby

–

km.

traveled

kg.

The mother has a mass

s carnival, At the school athletic 4,675 the red team scored scored points. The blue team more many How 3,858 points. score points did the red team than the blue team?

Step 2 . difference in masses Subtract to find the ? baby

–

mother red team

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blue team

–

more points than the

The red team scored 138

(b) Home At 1.

–

kg heavier than her

The mother is

–

baby.

139

blue team.

Count the number of different creatu re in the garden. Record your data on the next page.

At Home Further practice designed to be completed without the guidance of a teacher. Exercises and problems in this section follow on from those completed under Let’s Practice.

Represent your data in the

bar graph below.

Number of Creatu res

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10 8

272

Hands On

do an activity.

Tell your friends the time you

One friends shows the time

time on a clocks. The other friend shows the

Switch roles.

273

using their arms.

Learners are encouraged to ‘learn by doing’ through the use of group activities and the use of mathematical manipulatives.

Solve it!

Riley spent her summe r vaction in Europe. Complete the division equations and match the letters to find the first city she visited. T

Solve It!

6÷2=

6÷3=

Activities that require learners to apply logical reasoning and problem-solving. Problems are often posed which do not have a routine strategy for solving them. Learners are encouraged to think creatively and apply a range of problem-solving heuristics.

8÷2=

6÷1=

14 ÷ 2 =

15 ÷ 3 =

7 279

Looking Back Find the area of each figure in square (b) (a)

Find the perimeter of the figure. 9m

12 m

units.

11 m 11 m

Looking Back

11 m 10 m

Consolidated practice where learners demonstrate their understanding on a range of concepts taught within a unit.

Area =

square units.

17 m

square units. Perimeter =

(d)

(c)

Find the area and perimeter of each

figure. 1 cm 1 cm

Area =

square units. Area =

Find the area of the rectangles. (b) (a) 12 cm

square units.

10 m

4 cm 5m

Area =

Perimeter =

Area = Area =

191

190

iii

Contents 1 Numbers to 10,000

2 Addition

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Counting to 10,000 Numbers to 10,000 Place Value Comparing and Ordering Numbers Number Patterns Odd and Even Numbers Rounding Numbers

2 4 12 20 32 43 52 56

Addition Without Regrouping Addition With Regrouping Mental Addition Within 100 Word Problems

3 Subtraction

Subtracting 10s, 100s and 1,000s Subtraction Without Regrouping Subtraction With Regrouping Word Problems

66 66 77 86 94 106 107 119 128 136

4 Multiplication

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Repeated Addition Repeated Addition Word Problems Multiplying by 2 Multiplying by 3 Multiplying by 4 Multiplying by 5 Multiplying by 10 Multiplying by 6 Multiplying by 7 Multiplying by 8 Multiplying by 9 Multiplying by 6, 7, 8 and 9 Multiplication Word Problems

146 146 160 168 177 186 197 06206 218 226 234 242 253 260

5 Division (1)

Sharing Equally Grouping Equally Dividing by 2 Dividing by 3 Dividing by 4 Dividing by 5 Dividing by 10

272 272 282 289 294 299 304 309

Numbers to 10,000

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Anchor Task

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Counting to 10,000 Let’s Learn Count on in hundreds from 100.

200

+100

300

+100

400

+100

500

+100

600

+100

700

+100

800

900 1,000

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100

+100

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+100

100 more than 900 is 1,000. We read 1,000 as one thousand. Count on in thousands from 1,000.

+1,000 +1,000 +1,000 +1,000 +1,000 +1,000 +1,000 1,000 +1,000 2,000 +1,000 3,000 4,000 5,000 6,000 7,000 8,000 9,000 10,000

1,000 more than 9,000 is 10,000. We read 10,000 as ten thousand.

Count on in tens. +10

+10

6,320 (b)

6,330 +10

+10

6,340 +10

8,490

6,350 +10

8,500

6,360 +10

8,510

8,520

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8,480

+10

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(a)

Count on in hundreds. (a)

+100

7,720 (b)

+100

7,820

+100

7,920

+100

7,055

+100

8,020

+100

7,155

8,120

+100

7,255

7,355

6,955

+100

Count on in thousands. (a)

+1,000

5,999

(b)

+1,000

4,250

+1,000

6,999 +1,000

5,250

+1,000

7,999

+1,000

8,999

+1,000

6,250

9,999 +1,000

7,250

8,250 5

Let’s Practice 1. Count the jelly beans.

100

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(a) 10

(b) 100

100

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210

(c)

100

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2. Count the blocks.

3. Count on in 10s.

425,

(b)

170, 680,

(c)

(a)

8,365,

(e)

7,050,

(f)

4,980,

(d)

, 7

4. Count on in 100s. (a)

1,200,

(b)

3,150,

(c)

4,700,

(d)

6,363,

(e)

7,790,

, ,

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5. Count on in 1,000s. (a)

260,

(b)

1, 400,

3,210,

4,980,

5,000,

(d) (e)

(c)

Hands On

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Form circles of 4 to 6 students. Each group receives a bean bag or ball. Your teacher will write a number on the whiteboard and say a count-on number.

Count on in 50s!

4,600!

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The student with the bean bag counts on from the number on the whiteboard and throws the bean bag to the next person in the group. They continue counting on and then pass the bean bag along. Continue until the teacher says 'Stop!'

At Home 1. Count the lollipops.

1,000 100

100

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(b)

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(a)

1,000

100

1,000

2. Count the blocks.

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(a)

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(b)

30,

(a)

3. Count on in 1000s.

1, 700,

(c)

2,803,

(d)

4,150,

(b)

, 11

Numbers to 10,000 Let’s Learn 3 thousands

(a)

2 hundreds

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Find the number represented by the blocks. 8 tens

4 ones

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We say: Three thousand, two hundred eighty-four. We write: 3,284. (b)

4 thousands

6 hundreds

1 ten

6 ones

9 thousands

4 tens

(c)

We say: Four thousand, six hundred sixteen. We write: 4,616.

We say: Nine thousand, forty-seven. We write: 9,047. 12

7 ones

Find the number represented in the place value chart. Thousands

Hundreds

Tens

Ones

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(a)

We say: Seven thousand, five hundred thirty-nine. We write: 7,539. Thousands

Hundreds

Tens

Ones

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(b)

We say: Eight thousand, four hundred forty. We write: 8,440. (c)

Thousands

Hundreds

Tens

Ones

Tens

Ones

We say: Six thousand, nine. We write: 6,009. Thousands

Hundreds

(d)

We say: Five thousand, nine hundred. We write: 5,900.

Let’s Practice 1. How many jelly beans are there?

100

(b)

100

R 10

100

(c)

100

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100

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(a)

100

2. Match.

four thousand, six hundred twenty

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five thousand, sixty

7,201

seven thousand, two hundred one

eight hundred seventy-three

eight thousand, seven hundred

8,700

5,060

4,620

873

3. Write as numerals and words. (a)

Hundreds

Tens

Ones

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Thousands

(b)

R 16

Hundreds

al Thousands

(c)

Thousands

Hundreds

Tens

Ones

Tens

Ones

At Home 1. How many lollipops are there?

1,000

(b)

1,000

100

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1,000

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(a)

100

1,000

100

2. Write as numerals and words. (a)

Hundreds

Ones

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(b)

Thousands

Hundreds

Tens

Ones

Thousands

Hundreds

Tens

Ones

(c)

Tens

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Thousands

3. Write the number in words.

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(a)

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(b)

(d)

(c)

(e)

Place Value Let’s Learn

Thousands

Hundreds

Tens

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(a)

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Find the value of each digit in the numbers shown.

The digit in the Thousands place is 1. It represents 1,000. The digit in the Hundreds place is 4. It represents 400. The digit in the Tens place is 6. It represents 60. The digit in the Ones place is 3. It represents 3.

1,000 + 400 + 60 + 3 = 1,463

Ones

1 is the smallest digit, but it represents the greatest value.

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(b)

The digit in the Thousands place is 8. It represents 8,000. The digit in the Hundreds place is 5. It represents 500. The digit in the Tens place is 9. It represents 90.

How does the number change if we add another bead to the Tens place?

8,000 + 500 + 90 = 8,590

Let's find the value of each digit in the number. (a)

(b)

5 0

The value of the digit 5 is 5,000. The value of the digit 6 is 600. The value of the digit 9 is 90. The value of the digit 8 is 8. 5,000 + 600 + 90 + 8 = 5,698

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The value of the digit 1 is 1,000. The value of the digit 3 is 300. The value of the digit 5 is 50. The value of the digit 7 is 7. 1,000 + 300 + 50 + 7 = 1,357

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Let’s Practice 1. Write the numbers shown in the place value charts. (a)

Hundreds

Tens

Ones

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Thousands

(b)

Hundreds

Tens

Ones

Thousands

Hundreds

Tens

Ones

Tens

Ones

(c)

Thousands

(d)

Thousands

Hundreds

2. Fill in the blanks.

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(a)

thousand blocks. They represent

There are

hundred blocks. They represent

There are

ten blocks. They represent

There are

unit blocks. They represent

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There are

. .

(b)

thousand blocks. They represent

There are

hundred blocks. They represent

There are

ten blocks. They represent

There are

unit blocks. They represent

. . . .

3. Write the value of the digit.

1,234

(c)

(d)

4,076

945

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7,260

(b)

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(a)

(e)

4, 431

8, 475

(f)

1,067

(h)

5,032

(g)

4. Write the value of each digit. Then add the values. (a)

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(b)

Hands On

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Work in pairs. Partner 1 uses base-ten blocks to make a 4-digit number. Partner 2 uses place value tiles to represent the same number. Write the number as numerals and in words. Switch roles and repeat.

Words

Number

At Home 1. Write the numbers shown in the place value abacus. (b)

(c)

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(a)

(d)

(e)

(f)

2. Fill in the blanks.

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(a)

thousand blocks. They represent

There are

hundred blocks. They represent

There are

ten blocks. They represent

There are

unit blocks. They represent

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There are

. .

(b)

thousand blocks. They represent

There are

hundred blocks. They represent

There are

ten blocks. They represent

There are

unit blocks. They represent

There are

. . . . 29

3. Write the value of each digit. Then add the values. (a)

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(b)

Solve It! Match the numbers in two ways.

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Three thousand, ninety-two

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5000 + 900 + 4

3000 + 90 + 2

6000 + 200 + 30 + 1

Six thousand, two hundred thirty-one

Five thousand, nine hundred four

Comparing and Ordering Numbers Let’s Learn

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Let's compare the numbers. (a) Compare the numbers 6,711 and 7,611. Which number is smaller? Hundreds

Tens

Ones

1 1

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Thousands

First, compare the values in the thousands place. 6 thousands is less than 7 thousands. So, 6,711 is smaller than 7,611. (b) Compare the numbers 3,166 and 3,661. Which number is greater? Thousands

Tens

Ones

Hundreds

The values in the thousands place are the same. So, compare the values in the hundreds place. 1 hundred is smaller than 6 hundreds. So, 3,661 is greater than 3,166.

Tens

Ones

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Thousands

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The values in the thousands place and the hundreds place are the same. So, compare the values in the tens place. 5 tens is greater than 4 tens. So, 9,752 is greater than 9,742. Let's compare and order the numbers.

(a) Compare the numbers in the place value chart. Order the numbers from the greatest to the smallest. Thousands

Hundreds

Tens

Ones

7,192

7,202

6,979

First, compare the values in the thousands place. 7 thousands is greater than 6 thousands. So, 6,979 is the smallest number. Compare the values in the hundreds place. 2 hundreds is greater than 1 hundred. So, 7,202 is the greatest number. 7,202 greatest

7,192

6,979 smallest

(b) Compare the numbers in the place value chart. Order the numbers from the smallest to the greatest. Hundreds

Tens

Ones

6,992

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Thousands

2,996

2,991

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First, compare the values in the thousands place. 6 thousands is greater than 2 thousands. So, 6,992 is the greatest number. 2,996 and 2,991 have the same values in the hundreds and tens places. Compare the values in the ones place. 1 one is smaller than 6 ones. So, 2,991 is the smallest number. 2,991

smallest

2,996

6,992

greatest

Let’s Practice 1. Write the number represented by the blocks. Check the smaller number.

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(a)

(b)

2. Circle the greater number.

1,067

2,067

(b)

3,479

3,299

(c)

4,880

3,909

(d)

5,512

5,507

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al 3,141

4,314

8,906

900

(e)

(f)

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(a)

3. Arrange the numbers from the smallest to the greatest.

1,046

1,132

smallest

greatest

smallest

5,905

5,899

smallest

(d)

7,634 smallest

1,772 greatest

(c)

3,908

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2, 467

(b)

887

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(a)

7,620

6,001 greatest

7, 499 greatest

Color the circles to show each number. Color a circle green to show 1. Color a circle red to show 10. Color a circle blue to show 100. Color a circle yellow to show 1,000. The first one has been done for you.

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(a)

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Solve It!

(b)

3,241

one thousand, seven hundred thirty

(c)

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four thousand, sixty-eight

(d)

six thousand, five hundred twelve.

At Home 1. Write the number represented by each abacus. Check the greater number.

(b)

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(a)

(c)

(a)

2,305

3,702

1,601

(b)

3,492

3,581

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2. Circle the greatest number. Underline the smallest number.

(c)

789

645

1,887

(d)

7,433

7,459

7,549

10,000

9,858

9,946

8,116

7,117

7,109

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(e)

5,902

(f)

3. Arrange the numbers from the greatest to the smallest.

10,000

greatest

3,500

smallest

3, 487

greatest

8,994

smallest

8,905

(c)

greatest

(d)

3,399

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(b)

9,872

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4,569

(a)

7,109 greatest

7,106

9,058 smallest

7,107 smallest

Number Patterns Let’s Learn (a)

The numbers increase by 10.

1,000

1,030 + 10 = 1,040 + 10

+ 10

+ 10 1,010

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What is the next number in the pattern?

+ 10

1,030

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1,020

The next number in the pattern is 1,040. (b)

The numbers increase by 25.

+ 25

3,475

+ 25

3,500

3,525

3,450

3,525 + 25 = 3,550

The next number in the pattern is 3,550.

(c)

The numbers decrease by 200. – 200 – 200

8,200

– 200

7,600 – 200 = 7,400 – 200

8,000 7,800 7,600

The next number in the pattern is 7,400. 43

What is the missing number? The numbers decrease by 50. – 50 2,000

1,900 – 50 = 1,850

– 50

1,950

– 50

– 50 ?

1,900

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(a)

1,800

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The missing number in the pattern is 1,850. (b)

The numbers decrease by 1,000.

1,000 less than 8,709 is 7,709.

– 1,000 – 1,000 – 1,000 – 1,000

8,709

6,709

5,709

4,709

The numbers increase by 200.

(c)

The missing number in the pattern is 7,709.

200 more than 7,600 is 7,800.

+ 200 + 200 7,400

7,600

+ 200 + 200 ?

8,000

8,200

The missing number in the pattern is 7,800. 44

What are the missing numbers? The numbers increase by 5. +5 9,010

9,030

3,350 – 50 = 3,300 3,300 – 50 = 3,250

3,350

3,200

The missing numbers are 3,300 and 3,250.

The numbers increase by 600.

9,020

The numbers decrease by 50.

3,400

(c)

The missing numbers are 9,015 and 9,025.

(b)

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9,010 + 5 = 9,015 9,020 + 5 = 9,025

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(a)

6,000 6,600

6,600 + 600 = 7,200 7,800 + 600 = 8,400

7,800

The missing numbers are 7,200 and 8,400. 45

Let’s Practice 1. Fill in the missing numbers. Thousands

Hundreds

(b)

Ones

Hundreds

al eg

10 more Tens

50 less

20 more

Tens

Ones

50 more

Thousands

Hundreds

Tens

Ones

100 less

Hundreds

Thousands

(d)

Thousands

20 less

(c)

Ones

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10 less

Tens

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(a)

100 more

Thousands

Hundreds

Tens

Ones

200 less

Thousands

Hundreds

10 less

Hundreds

Tens

Ones

10 more

1,000 less

(h)

Ones

Thousands

(g)

Tens

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(f)

200 more

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(e)

1,000 more

Thousands

Hundreds

Tens

Ones

1,000 less

1,000 more

2. Find the number that comes next in the pattern. 438

448

458

(b) 1,680

1,780

1,880

1,980

1,902

1,802

(d) 3,325

4,325

5,325

(f)

9,641

(g) 5,705 (h) 6,600

1,702

6,325

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(e) 8,400

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428

(a)

8,300

8,200

8,100

8,641

7,641

6,641

5,805

5,905

6,005

6,700

6,800

6,900

4,049

3,049

2,049

1,049

(j)

2,468

3,468

4,468

5,468

(i)

3. Write the rule for the number pattern. (a)

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9,311, 9,411, 9,511, 9,611 (b)

(c)

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7,501, 7,511, 7,521, 7,531

5,936, 5,886, 5,836, 5,786

(d)

2,989, 2,939, 2,889, 2,839

(e)

8,951, 8,451, 7,951, 7,451

At Home (a) 10 more than 510 is

(b) 100 less than 576 is

. . .

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(e) 100 more than 2,222 is

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1. Fill in the missing numbers.

(f) 1,000 less than 3,400 is

(g) 100 more than 1,980 is

(h) 100 less than 4,000 is

(i) 1,000 more than 9,000 is

2. Find the missing numbers in the number pattern. (a)

(b) 8,641,

, 8,238, 8,228, 8,218, 8,208, , 8,841, 8,941, 9,041,

(d)

(e) 3,172, (f)

, 1,178, 1,278, 1,378, ,

, 1,578 , 3,247, 3,272, 3,297

, 2,035, 3,035, 4,035, 5,035,

(g) 5,990, 6,490, 6,990, 50

, 7,220,

, 8,490

3. Write the rule for the number pattern. (a)

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420, 520, 620, 720 (b)

(c)

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1,307, 2,307, 3,307, 4,307

6,600, 6,500, 6,400, 6,300

(d)

4,460, 3,460, 2,460, 1,460

(e)

5,260, 6,260, 7,260, 8,260

Odd and Even Numbers Let’s Learn

6 +2

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The numbers below are even numbers.

In the hundred square, the even numbers are shaded. 2

100

Even numbers end in 0, 2, 4, 6 or 8.

The numbers below are odd numbers.

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In the hundred square, the odd numbers are shaded.

100

Odd numbers end in 1, 3, 5, 7 or 9.

Let’s Practice 1. Circle the odd numbers.

126 339

121

768 900

al eg

4. Draw an even number of houses.

592

36 4,267 292

3. Draw an odd number of flowers.

1,000

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2. Underline the even numbers.

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15 1,201

1,334

At Home

128

1,202

774

245

186

319

503

300

1997

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122

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Help Sophie cross the river by coloring the odd numbers.

1,110

669

4,264

9,012

222

5307

732

1,306

2,468

800

2001

Rounding Numbers Let’s Learn Round 4,514 to the nearest ten.

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When rounding, remember 4 or less – round down!

4,514

4,515

4,520

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4,510

4,514 is between 4,510 and 4,520. 4,514 is nearer to 4,510 than 4,520.

4,514 rounded off to the nearest ten is 4,510. Round off 5,998 to the nearest ten.

When rounding to the nearest ten, we look at the digit in the ones place. The digit in the ones place is 8, so we round up.

5,990

5,995

5,998

When rounding, remember 5 or more – round up!

6,000

5,998 rounded off to the nearest ten is 6,000.

Round 8,742 to the nearest hundred. 8,742

8,800

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8,750

8,700

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When rounding to the nearest hundred, we look at the digit in the tens place. The digit in the tens place is 4, so we round down. 8,742 rounded off to the nearest hundred is 8,700. Round 2,390 to the nearest thousand. 2,390

2,000

2,500

3,000

hen rounding to the nearest thousand, we look at the digit W in the hundreds place. The digit in the hundreds place is 3, so we round down. 2,390 rounded off to the nearest thousand is 2,000.

Round 5,780 to the nearest thousand. The digit in the hundreds place is 7. So we round up. 5,780 rounded off to the nearest thousand is 6,000.

Let’s Practice 1. Round each number to the nearest ten. (a) 678

(b) 444

(d) 2,311

(e) 805

(f) 5,495 (h) 1,863

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(g) 2,207

tio n

2. Round each number to the nearest hundred. (a) 359 (c) 1,261 (e) 8,092

(d) 4,701

(f) 2,555 (h) 9,104

(g) 3,062

(b) 839

3. Round each number to the nearest thousand. (a) 967

(b) 1,285

(d) 3,814

(e) 9,518

(f) 7,397

(g) 2,345

(h) 5,439

4. Fill in the missing numbers.

450

455

tio n

(a)

460

rounded off to the nearest ten is

1,400

Ed uc a

(b)

1,450

1,500

rounded off to the nearest hundred is

(c)

6,000

7,000

6,500

rounded off to the nearest thousand is

(d)

1,000

1,500

2,000

rounded off to the nearest thousand is

. 59

At Home 1. Round each number to the nearest hundred. (b) 1,288

(d) 56

tio n

(a) 605

2. Round each number to the nearest thousand.

(b) 5,502

(d) 1,504

Ed uc a

(a) 2,299

3. Fill in the missing numbers. (a)

1,700

1,750

1,800

rounded off to the nearest hundred is

(b)

4,000

4,500

5,000

rounded off to the nearest thousand is

Solve It! Which child is correct? Explain your answer. (a) Round 4,624 to the nearest hundred.

tio n

Ed uc a

The digit in the tens place is 2. So, the answer is 4,600.

The digit in the hundreds place is 6. So, the answer is 4,700.

(b) Round 8,991 to the nearest ten.

The digit in the ones place is 1. So, the answer is 8,990.

The digit in the tens place is 9. So, the answer is 9,000.

The digit in the hundreds place is 5. So, the answer is 4,000.

The digit in the hundreds place is 5. So, the answer is 3,000.

Looking Back 1. Count on in 100s. (a)

230,

(b)

1,850,

(c)

8,700,

tio n

Ed uc a

2. Count on in 1000s. (a)

(b)

2,209,

(c)

4,500,

3. Write as numerals and words.

Thousands

Hundreds

Tens

Ones

4. Write the number in words.

tio n

(a)

Ed uc a

(b)

5. Write the value of each digit. Then add the values. (a)

(b)

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6. Fill in the missing numbers. (a) 10 more than 220 is

(b) 100 less than 1,057 is

7. Find the missing numbers in the number pattern.

(a)

(b) 650,

, 1,255, 2,255, 3,255, 4,255, , 550, 500, 450,

, 2,800,

8. Circle the even numbers. Underline the odd numbers.

432 644

134 592

tio n

9. Round each number to the nearest thousand.

(b) 1,488

Ed uc a

(a) 2,309

(d) 9,502

10. Round each number to the nearest ten. (a) 78

(b) 278

(d) 1,164

11. Fill in the missing numbers.

460

465

rounded off to the nearest ten is

470 .

Addition

Anchor Task Hundreds

Tens

Ones

Ed uc a

Thousands

tio n

Addition Without Regrouping

Let’s Learn A clothes factory made 1,252 children’s shirts and 2,646 adult’s shirts. How many shirts did the factory make altogether? 2,646

children’s shirts

adult’s shirts

tio n

1,252

Step 1

Ed uc a

We need to find the sum of 1,252 and 2,646. Step 2

Add the ones. 1

Add the tens.

2 5 2

+ 2 6 4 6

9 8

+ 2 6 4 6

Step 4

Add the hundreds.

Add the thousands.

Step 3

1 2 5 2

+ 2 6 4 6

8 9 8

3 8 9 8

1,252 + 2,646 = 3,898 The factory made 3,898 shirts altogether.

On Saturday, 4,515 people visited the Singapore Zoo. On Sunday, 5,220 people visited the Singapore Zoo. How many people visited the Singapore Zoo all weekend? 5,220

visitors on Saturday

visitors on Sunday

tio n

4,515

Step 1

Ed uc a

We need to find the sum of 4,515 and 5,220. Step 2

Add the ones.

Add the tens.

4 5 1 5

+ 5 2 2 0

3 5

Step 4

Add the hundreds.

Add the thousands.

Step 3

4 5 1 5

+ 5 2 2 0

7 3 5

9 7 3 5

4 5 1 5

4,515 + 5,220 = 9,735 A total of 9,735 people visited the Singapore Zoo on the weekend.

Let’s Practice 1. Find the value represented by each set. Then add.

Ed uc a

tio n

(a)

(b)

2. Find the value represented by each set. Then add. (a) 10

100

Ed uc a

100

tio n

100

(b) 1,000 1,000

100

1,000

R 70

1,000

3. Find the sum. (a) (b) 6 7 3 1 2

1 0 0 3 (c) (d) 5

5 9 8 0 (e) (f) +

8 5 0 6 (g) (h) 4

4 1 1 5 (i) (j) +

Ed uc a

tio n

Solve It!

E +

Ed uc a

tio n

Halle spent her vacation abroad with her parents. Match the letters to the sums to find out which country she visited.

N +

9,971 72

1,682

5,685

7,598

8,846

5,474

(b) Home At 1. Find the value represented by each set. Then add.

Ed uc a

tio n

(a)

(b)

2. Find the value represented by each set. Then add. (a) 10

100

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100

tio n

100

(b) 1,000

100

1,000

100

1,000

3. Find the sum. Add using the column method.

Ed uc a

(e) 5,382 + 4,500 =

(b) 4,305 + 132 =

tio n

(a) 2,040 + 417 =

(d) 1,025 + 4,270 =

(f) 7,766 + 2,233 =

(g) 1,113 + 6,330 =

(k) 3,702 + 4,077 =

(j) 225 + 7,760 =

Ed uc a

(i) 6,234 + 1,742 =

tio n

(h) 4,332 + 5,504 =

(l) 5,633 + 3,205 =

Addition With Regrouping Let’s Learn

tio n

In one week, a bookstore sold 5,543 math textbooks and 3,722 English textbooks. How many books were sold altogether? 5,543

3,722

math textbooks

English textbooks

Step 1

Ed uc a

Step 2

Add the ones.

Add the tens.

5 5 4 3

+ 3 7 2 2

6 5

We can regroup 12 hundreds into 1 thousand and 2 hundreds.

Hundreds

Tens

Ones

Thousands

Add the hundreds. 1

5 5 4 3

+ 3 7 2 2 2 6 5 Step 4 1

Write the 2 hundreds in the hundreds column and the 1 thousand in the thousands column.

5 thousands + 3 thousands + 1 thousand = 9 thousands

Ed uc a

Add the thousands.

5 hundreds + 7 hundreds = 12 hundreds 12 hundreds = 1 thousand + 2 hundreds

tio n

Step 3

5 5 4 3

+ 3 7 2 2

9 2 6 5

5,543 + 3,722 = 9,265 In 1 week, the bookstore sold 9,265 books altogether.

Find the sum of 1,749 and 2,435. Step 1

Add the ones. 1

7 14 9

+ 2 4 3 5

9 ones + 5 ones = 14 ones 14 ones = 1 ten and 4 ones Write the 4 ones in the ones column and the 1 ten in the tens column.

Step 2

4 tens + 3 tens + 1 ten = 8 tens

Add the tens. 1

7 14 9

tio n

+ 2 4 3 5 8 4 Step 3 Add the hundreds. 1

7 14 9

Ed uc a

7 hundreds + 4 hundreds = 11 hundreds 11 hundreds = 1 thousand + 1 hundred

+ 2 4 3 5 1 8 4 Step 4

Add the thousands. 1

1 7 14 9

1 thousand + 2 thousands + 1 thousand = 4 thousands

+ 2 4 3 5 8 4

4 1

The sum of 1,749 and 2,435 is 4,184. How can you check your answer?

Let’s Practice 1. Find the sum. 1 7 3 8 (a) (b) 5

5 3 4 9 (e) (f) 7

3 7 0 4 (g) (h)

Ed uc a

2 7 5 0 (c) (d)

tio n

2. Find the sum. Add using the column method.

Ed uc a

(e) 5,382 + 1,998 =

(b) 1,307 + 965 =

tio n

(a) 1,863 + 681 =

(d) 3,590 + 2,645 =

(f) 6,364 + 2,767 =

Solve It!

(a) 200

166

31 166 87 (b) 267 150 241

500

124

397

200

Ed uc a

110

tio n

Use all of the numbers given so that the row and column each add up to the number the child is holding.

109

(c)

234

305 450 120 191

234 875

120

241

(d) 298 297 122

801

381

(e) 400 333 124 188 269

857

400

(f)

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206

tio n

298

441

566 98

898

234 359

(b) Home At 1. Find the sum. 2 3 7 5 (a) (b) 1

6 2 1 8 (e) (f) 1

7 8 8 3 (g) (h)

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4 3 2 2 (c) (d)

tio n

2. Find the sum. Add using the column method.

Ed uc a

(e) 2,487 + 3,444 =

(b) 1,879 + 1,879 =

tio n

(a) 4,486 + 486 =

(d) 5,533 + 1,076 =

(f) 5,691 + 779 =

Mental Addition Within 100

25¢

33¢

57¢

Ed uc a

16¢

12¢

tio n

Anchor Task

8¢

Let’s Learn Find the sum of 46 and 15 mentally. First, add the tens. Then, add the ones.

15 10

46 + 10 = 56 56 + 5 = 61

Ed uc a

46 + 15 = 61 The sum of 46 and 15 is 61.

tio n

46 +

Find the sum of 37 and 58 37 +

58 50

Separate 58 into tens and ones, then add.

37 + 50 = 87 87 + 8 = 95

37 + 58 = 95 The sum of 37 and 58 is 95.

Find the sum of 64 and 27

64 +

64 + 20 = 84 84 + 7 = 91

64 + 27 = 91 The sum of 64 and 27 is 91. 87

Find the sum of 48 and 24.

Now, we can add more easily!

48 +

24 2

48 + 2 = 50 50 + 22 = 72

Ed uc a

tio n

48 is close to 50. Let’s take 2 ones from 24 and make 50!

Make 10 first, then add.

48 + 24 = 72 The sum of 48 and 24 is 72. Find the sum of 53 and 29. 29

53 +

29 + 1 = 30 52 + 30 = 82

53 + 29 = 82 The sum of 53 and 29 is 82. 88

29 is close to 30.

Let’s Practice 1. Add mentally. First, separate into tens and ones.

20 +

(b) 12 + 46

12 + 12 + 46 =

Ed uc a

20 + 35 =

tio n

(a) 20 + 35

31 +

31 + 63 =

(d) 53 + 23

53 + 53 + 23 =

(e) 44 + 45

44 +

tio n

44 + 45 =

65 + 65 + 13 = (g) 31 + 53

31 +

Ed uc a

(f) 65 + 13

31 + 53 =

(h) 18 + 27

18 +

18 + 27 =

Add mentally. Make a ten first.

(a) 29 + 21

tio n

(b) 18 + 25

29 +

= 30

18 +

30 +

20 +

18 + 25 =

Ed uc a

29 + 21 =

= 20

(d) 37 + 15

= 50

37 +

= 40

40 +

49 + 32 =

37 + 15 =

(f)

57 + 13

49 +

50 +

(e) 78 + 16

= 80

57 +

= 60

80 +

60 +

57 + 13 =

78 +

78 + 16 =

Hands On

tio n

Your teacher will call out 2 animals. Add the numbers mentally. When you know the answer, raise your hand!

Ed uc a

12 36

39 19

At Home Add mentally.

(d) 38 + 22 =

(e) 23 + 28 =

(f) 16 + 52 =

(g) 30 + 60 = (i) 65 + 12 = (k) 17 + 68 =

(h) 48 + 9 =

(j) 33 + 33 =

(l) 59 + 14 = (n) 8 + 49 =

(m) 67 + 29 =

tio n

(b) 18 + 18 =

Ed uc a

(a) 14 + 19 =

(p) 55 + 10 =

(o) 77 + 9 =

(q) 73 + 8 =

(s) 12 + 42 =

(r) 27 + 29 = (t) 38 + 11 =

Word Problems Let’s Learn

Ed uc a

tio n

At Jackson’s Furniture Warehouse, the cost of a 3-seat sofa is $3,498. The cost of an armchair is $1,925. What is the total cost of the sofa and the armchair?

$3,498

$1,925 1

$1,925

3-seat sofa

armchair

3 4 9 8

9 2 5

5 4 2 3

The total cost of the sofa and the armchair is $5,423.

McDonald has 7,008 sheep and Mr. 2,803 cows on his farm. How many sheep and cows are on Mr. McDonald’s farm altogether? 7,008

2,803

sheep

cows ?

7 0 0 8 + 2 8 0 3 9 8

On Mr. McDonald’s farm, there are 9,811 sheep and cows altogether. 94

Ed uc a

tio n

Mr. Spokes is saving money for a family vacation. In January, he saves $1,387. In February, he saves $156 more than in January. How much money did he save in total?

Step 1 Find the amount of money Mr. Spokes saves in February. $,1387

$156

January

1 3 8 7

February

1 5 6

1 5 4 3

1,387 + 156 = 1,543 Mr. Spokes saves $1,543 in February.

Step 2 Add the amounts together to find the total. $1,387

$1,543

January

February ?

1 3 8 7 +

1 5 4 3 2 9 3 0

1,387 + 1,543 = 2,930 Mr. Spokes saves $2,930 in all. 95

1. Dominic’s smart watch records the number of steps he takes in a day. On Saturday, he walked 3,435 steps. On Sunday, he walked 5,380 steps. How many steps did he walk in total?

Sunday

Ed uc a

Saturday ?

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Let’s Practice

Dominic walked

steps in total.

2. Riley was playing a computer game. On Level 1, she scored 1,847 points. On Level 2, she scored 1,465 points. Find the total number of points she scored.

Level 1

Level 2 ?

Riley scored a total of

points.

tio n

3. Class 3F are collecting rubbish to clean up a beach. They collect 959 plastic bottles. They collect 460 more plastic bags than bottles. How many bottles and bags did they collect in total?

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Step 1 Find the number of plastic bags collected.

plastic bottles

plastic bags ?

plastic bags.

They collected

Step 2 Add the number of plastic bottles and bags together.

plastic bottles

A total of

plastic bags ?

plastic bottles and bags were collected. 97

4. A ferry and a cruise ship arrive at a dock. There are 493 people waiting to board the ferry. There are 957 more people waiting to board the cruise ship than the ferry. How many people are waiting at the dock in total?

Ed uc a

Step 2

tio n

Step 1

people are waiting at the dock in total.

5. On Saturday, 2,369 people went to the beach. On Sunday, 188 more people went to the beach than on Saturday. How many people went to the beach on the weekend?

Step 2

Ed uc a

tio n

Step 1

people went to the beach on the weekend.

At Home

Ed uc a

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1. Mrs. Thakur bought some new equipment for her classroom. She bought a smart board for $2,338 and tablet for $855. How much money did she spend in all?

smart board

tablet

Mrs. Thakur spent $

100

in all.

tio n

2. On vacation, Sophie traveled by train for 258 km. She then took a flight 1,958 km further than the train trip. What was the total distance that Sophie traveled? Step 1 Find the distance of the flight.

train

Ed uc a

flight ?

The flight was

km.

Step 2 Add the distances together.

train

flight

Sophie traveled a total distance of

km.

1 01

3. A builder ordered a load of bricks for a job. She ordered 1,088 red bricks. She ordered 478 more yellow bricks than red bricks. How many bricks did she order in all?

Step 2

Ed uc a

tio n

Step 1

The builder ordered

102

bricks in all.

Looking Back 1. Find the sum. Add using the column method.

Ed uc a

(d) 3,245 + 2,178 =

(b) 2,452 + 1,236 =

tio n

(a) 1,307 + 412 =

(e) 5,266 + 2,859 =

(f) 4,847 + 1,985 =

103

2. Add mentally. (a) 12 + 18 =

(b) 14 + 16 =

(d) 45 + 26 =

(e) 23 + 39 =

(f) 16 + 27 =

(g) 56 + 65 =

(h) 62 + 19 =

(i) 75 + 15 =

(j) 38 + 27 =

tio n

Ed uc a

3. On holiday, Ethan took 1,309 photos. His brother, Timmy, took 728 photos. How many photos did they take in all?

Ethan’s photos

Timmy’s photos ?

Ethan and Timmy took 104

+ photos in all.

Ed uc a

Step 1 Find the cost of the security deposit.

tio n

4. Mr. McIlroy is moving his business to a new office. He must pay 1 month rent and a security deposit. The rent is $2,465. The security deposit is $945 more than the rent. Find the total amount Mr. McIlroy must pay.

rent

security deposit ?

The security deposit is $

Step 2 Add the rent and security deposit together.

rent

security deposit ?

Mr. McIlroy must pay $

+ in total.

105

Subtraction

Ed uc a

tio n

Anchor Task

106

Subtracting 10s, 100s and 1,000s Let’s Learn

tio n

Find 1,350 – 20.

Ed uc a

Cross out 2 tens and count the remaining blocks.

–

1,350 – 20 = 1,330

5 2 3

0 0 0

4 3 1

2 0 2

5 0 5

Find 2,425 – 300.

2,425 – 300 = 2,125

–

107

Find 5,473 – 4,000. 100

100

1,000

100

1,000

100

1,000

1 1

Cross out 4 thousands and count the remaining counters.

Ed uc a

1,000

tio n

1,000

–

5 4 1

4 0 4

7 0 7

3 0 3

5,473 – 4,000 = 1,473

Find 6,950 – 500 by counting back in 100s. 6,850

6,750

6,650

6,550

6,450

6,950

6,950 – 500 = 6,450

Find 8,030 – 6,000 by counting back in 1,000s. 8,030

7,030

8,030 – 6,000 = 2,030

108

6,030

5,030

4,030

3,030

2,030

Let’s Practice 1. Cross out the base-10 blocks and count the remaining blocks. Fill in the blanks.

–

Ed uc a

tio n

(a) Find 1,710 – 200.

(b) Find 2,245 – 30.

–

109

–

– 600 =

(d)

Ed uc a

tio n

110

–

2. Cross out place value disks and find the value of the remaining disks. Fill in the blanks.

100

1,000 100

Ed uc a

1,000 100

tio n

(a) Find 5,680 – 500.

–

(b) Find 7,085 – 6,000. 10

1,000 1,000

1,000

1,000 1,000

–

111

3. Subtract by counting back. Fill in the blanks. (a)

– 10

–

– 10

(b) 2,525

–

(c)

– 1,000

7,190

– 1,000

– 100

–

– 1,000

8,007

112

– 100

–

(d)

– 100

Ed uc a

– 100

tio n

6,380

4. Subtract using the column method. Fill in the blanks.

–

Ed uc a

–

(e) 9,500 – 6,000 =

–

(b) 2,415 – 400 =

tio n

(a) 1,280 – 50 =

(d) 7,797 – 20 =

–

(f) 8,602 – 300 =

–

113

Ed uc a

Mental Subtraction Races! Stand up in pairs.

tio n

Hands On

114

(b) Home At

(a)

– 3,000 = 100

1,000 100

100

1,000 100

100

1,000 100

100

Ed uc a

1,000 100

tio n

1. Cross out place value disks and find the value of the remaining disks. Fill in the blanks.

–

100

– 800 =

(b)

100

1,000 1,000 100

100

1,000 1,000 100

100

1,000 1,000 100

1,000

100

–

115

– 5,000 = 10

1,000 100

– 70 = 1,000 100

100

1,000 100

100

(d)

1,000 100

100

R 116

–

Ed uc a

1,000 100

tio n

(c)

–

2. Subtract by counting back. Fill in the blanks. (a)

– 10

–

– 10

(b)

3,809 –

– 1,000

(c)

8,335

– 1,000

– 100

– 1,000

–

(d)

– 100

Ed uc a

– 100

tio n

1,062

– 1,000

9,112

–

117

3. Subtract using the column method. Fill in the blanks. (b) 3,757 – 40 =

tio n

(a) 4,466 – 10 =

–

Ed uc a

–

(e) 9,370 – 200 =

118

–

(d) 8,591 – 500 =

–

(f)

4,728 – 4,000 =

–

Subtraction Without Regrouping Let’s Learn

1,395

tio n

1,395 students attend Brookwater Primary School. 1,182 students attend Mountain Creek Primary School. How many more students attend Brookwater than Mountain Creek?

Brookwater Primary School

Ed uc a

? Mountain Creek Primary School 1,182

Cross out counters to subtract.

Hundreds

Thousands

Tens

Ones

Step 2

Subtract the ones.

Subtract the tens.

Step 1

1 – 1

3 9 5

8 2

– 1

1 8 2

1 3

119

Step 3

Step 4

Subtract the hundreds.

Subtract the thousands.

1 3 9 5 1 8 2

– 1

8 2

tio n

– 1

1 3 9 5

2 1 3

1 3

Ed uc a

1,395 - 1,182 = 213. 213 more students attend Brookwater than Mountain Creek. Subtract 2,415 from 7,895. Step 1

Step 2

Subtract the ones.

Subtract the tens.

7 8 9 5

– 2 4 1 5

8 0

– 2 4

Step 4

Subtract the hundreds.

Subtract the thousands.

Step 3

7 8 9 5

– 2 4 1 5 4 8 0

7,895 – 2,415 = 5,480.

120

7 8 9 5 – 2 4

1 5

5 4 8 0

Let’s Practice

1,000

100

1,000

100

1,000

100

1,000

100

1,000

100

1,000 1,000

100

1,000 1,000

100

1,000 1,000

100

1,000 1,000

–

(b)

Ed uc a

(a)

tio n

1. Find the number represented by the counters. Note how many have been crossed off and write a subtraction sentence.

–

121

2. Subtract. (a) (b) 1 5 5 8 4

4 3 7 0 (c) (d) 2

–

2 4 8 6 (e) (f) –

–

9 8 3 5 (g) (h) 2

–

6 3 7 4 (i) (j)

1 22

–

Ed uc a

–

tio n

–

(k) (l) 8 5 7 7 3

–

9 9 7 6 (m) (n) 2

–

4 7 5 4 (o) (p) –

–

7 8 8 8 (q) (r) 1

–

4 7 5 5 (s) (t) –

Ed uc a

–

tio n

–

123

Solve It!

S 3

4 3

–

Ed uc a

–

6 6

tio n

What is Riley’s favorite breakfast? Subtract and match the letters to the numbers below to find out.

9 5

E –

–

2,316 124

8,321

7,511

4,481

8,241

2,311

(b) Home At

(a)

1,000 1,000

1,000

100

–

1 1

1,000 1,000

100

1,000 1,000

100

(b)

Ed uc a

1,000 1,000

tio n

1. Find the number represented by the counters. Note how many have been crossed off and write a subtraction sentence.

1,000

100

1,000

100

1,000

100

–

= 125

2. Subtract using the column method.

–

Ed uc a

–

(d) 4,368 – 1,127 =

–

(b) 8,496 – 155 =

tio n

(a) 3,757 – 342 =

(e) 5,355 – 1,224 =

126

–

(f) 9,889 – 7,030 =

–

(g) 7,889 – 3,330 =

–

Ed uc a

tio n

–

(i) 4,965 – 2,634 =

–

(h) 1,597 – 451 =

–

(l) 4,566 – 1,050 =

(k) 7,999 – 2,356 =

(j) 9,187 – 3,014 =

–

127

Subtraction With Regrouping Let’s Learn

Thousands

Ed uc a

tio n

A watermelon has a mass of 2,254 grams. A coconut has a mass of 1,527 grams. How much heavier is the watermelon than the coconut? Let’s subtract 1,527 from 2,254 to find the difference.

Hundreds

Tens

Ones

–

Regroup 1 ten into 10 ones.

1 28

2 1

2 5

5 2

O 14

4 7 7

Subtract the ones. Regroup 1 ten into 10 ones. 14 ones – 7 ones = 7 ones.

Now we can cross out 7 ones.

Thousands

Hundreds

Tens

Ones

2 1

–

2 5

T 4

5 2 2

O 14

4 7 7

Thousands

Hundreds

Tens

Ones

tio n

Subtract the tens. 4 tens – 2 tens = 2 tens Th

2 5 7

Ed uc a

–

2 1

5 2 2

O 14

4 7 7

Subtract the hundreds. Regroup 1 thousand into 10 hundreds. 12 hundreds – 5 hundreds = 7 hundreds

Hundreds

Tens

Thousands

Ones

–

2 1

2 5 7

5 2 2

O 14

4 7 7

Subtract the thousands. 1 thousand – 1 thousand = 0 thousands

2,254 – 1,527 = 727 So, the watermelon is 727 grams heavier than the coconut.

129

Find 7,304 – 3,658. Subtract the ones.

7 2 3 9 0 144 – 3 6 5 8 6 Step 2

14 ones – 8 ones = 6 ones 9 tens – 5 tens = 4 tens

Ed uc a

Subtract the tens.

We cannot subtract 8 ones from 4 ones. There are no tens to regroup. Regroup 1 hundred into 9 tens and 10 ones.

tio n

Step 1

7 2 3 90 144 – 3 6 5 8

4 6 Step 3

Subtract the hundreds. 6

7 123 9 0 144

– 3 6 5 8

We cannot subtract 6 hundreds from 2 hundreds. Regroup 1 thousand into 10 hundreds.

6 4 6

Step 4

Subtract the thousands. 6

7 123 9 0 144

– 3 6 5 8 3 6 4 6

7,304 – 3,658 = 3,646 130

12 hundreds – 6 hundreds = 6 hundreds

6 thousands – 3 thousands = 3 thousands

Let’s Practice 1. Subtract. 1 2 5 0 (a) (b) 1

–

4 8 8 3 (c) (d) 1

–

6 0 3 4 (e) (f) 8

–

9 5 3 2 (g) (h) 3

–

6 3 (j) 0 4 (i) –

Ed uc a

–

tio n

–

131

2. Subtract using the column method.

–

Ed uc a

–

(d) 4,412 – 1,731 =

–

(b) 3,303 – 779 =

tio n

(a) 2,244 – 346 =

(e) 9,870 – 4,146 =

1 32

–

(f) 8,477 – 3,887 =

–

Solve It!

(a)

– 2

–

(c)

(b)

– 1

Ed uc a

tio n

Forgetful Ethan left his mathematics notebook outside again. Rain has washed away some of the numbers. Write the missing numbers.

(d)

– 1

(f)

(e)

(g)

–

(h)

– 3

133

(b) Home At Subtract using the column method.

–

Ed uc a

–

(d) 5,293 – 2,433 =

–

(b) 2,276 – 635 =

tio n

(a) 1,540 – 322 =

(e) 7,538 – 1,665 =

1 34

–

(f) 8,954 – 4,335 =

–

(h) 2,061 – 1,234 =

–

Ed uc a

tio n

(g) 6,510 – 1,652 =

(j) 7,131 – 4,433 =

–

(i) 6,104 – 5,305 =

(k) 6,221 – 4,353 =

–

(l) 8,804 – 5,855 =

135

Word Problems Let’s Learn

Ed uc a

tio n

A plane was flying at a height of 2,853 m. It had to descend 577 m due to stormy weather. At what height is the plane flying now?

2,853 m

2 8 5 3

original height

new height

descent

577 m

–

5 7 7

2 2 7 6

2,853 – 577 = 2,276 The plane is flying at a height of 2,276 m.

A farmer planted 7,428 apple seeds and 4,355 peach seeds. How many more apple seeds were planted than peach seeds? 7,428 3

+ 4 3 5 5

peach seeds 4,355

7 4 2 8

apple seeds

3 0 7 3

The farmer planted 3,073 more apple seeds than peach seeds. 136

Ed uc a

tio n

Mr. Robbins spent $5,625 on flights and accommodation for his family vacation. If the accommodation cost $1,850, how much more did the flights cost?

Step 1 Find the cost of the flights.

$5,625

accommodation $1,850

5 6 2 5

flights

– 1

8 5 0

3 7 7 5

5,625 – 1,850 = 3,775 The flights cost $3,775.

Step 2 Subtract to find the difference in cost. $3,755 2

flights

accommodation $1,850

3 7 5 5

– 1

8 5 0

9 0 5

3,755 – 1,850 = 1,905 The flights cost $1,905 more than the accommodation. 137

Let’s Practice

tio n

1. A truck driver has to drive 1,205 km to deliver his load. He stops for a rest 478 km from his destination. How far has he traveled? 478 km trip traveled

trip remaining

1,205 km

–

Ed uc a

–

The truck driver has traveled

km.

2. At the school athletics carnival, the red team scored 4,675 points. The blue team scored 3,858 points. How many more points did the red team score than the blue team?

red team

blue team

–

The red team scored 138

–

more points than the blue team.

? mother

Ed uc a

baby

tio n

3. A mother elephant and her baby have a combined mass of 4,670 kg. The baby has a mass of 482 kg. How much heavier is the mother? Step 1 Find the mass of the mother.

–

The mother has a mass of

kg.

Step 2 Subtract to find the difference in masses. ?

baby

–

The mother is

mother

–

kg heavier than her baby. 139

Step 2

Ed uc a

Step 1

tio n

4. A factory produces 8,544 cars and motorcycles in 1 year. A total of 3,470 motorcycles were produced. How many more cars than motorcycles were produced?

The factory produced 140

more cars than motorcycles.

(b) Home At

tio n

1. A television and speaker set are sold for $1,790. If the television costs $1,385. How much cheaper are the speakers than the television? Step 1 Find the cost of the speakers.

Ed uc a

television

speakers

–

The cost of the speakers is $

Step 2 Subtract to find the difference in masses.

television

speakers

–

? –

The speakers are $

cheaper than the television. 1 41

2. At a baseball game, 3,277 hot dogs and burgers are sold. 1,410 hot dogs are sold. How many more burgers than hot dogs are sold?

Step 2

Ed uc a

tio n

Step 1

142

more burgers than hot dogs are sold.

Looking Back 1. Subtract by counting back. Fill in the blanks. – 10

– 10

–

– 10

–

4,030

(c)

– 10

Ed uc a

1,776

(b)

– 10

tio n

(a)

– 100

– 10

– 100

– 1,000

6,428

–

(d)

– 1,000

7,666 –

143

2. Subtract using the column method.

–

Ed uc a

–

(e) 8,434– 2,527 =

–

144

(b) 8,859 – 2,435 =

tio n

(a) 2,374 – 1,252 =

(d) 6,575 – 5,837 =

–

(f) 6,641 – 988 =

–

3. On the weekend, a total of 5,325 people visited the museum. On Saturday 2,588 people visited the museum. How many more people visited the museum on Sunday than on Saturday?

Ed uc a

Step 2

tio n

Step 1

more people visited the museum on Sunday than

on Saturday. 145

Multiplcation

Ed uc a

Anchor Task

tio n

Repeated Addition

146

Let’s Learn

There are 2 cherries in each group.

Ed uc a

There are 3 groups of cherries.

tio n

How many cherries are there in all?

There are 3 groups of 2. 2+2+2=6 3x2=6 There are 6 cherries in all.

There are 6 cherries in all.

The symbol ‘x’ means multiply. 3 x 2 is a multiplication equation.

147

There are 4 groups of 4. 4 + 4 + 4 + 4 = 16 4 x 4 = 16 There are 16 bananas in all.

Ed uc a

How many fingers are there in all?

tio n

How many bananas are there in all?

There are 6 groups of 3. 3 + 3 + 3 + 3 + 3 + 3 = 18 6 x 3 = 18 There are 18 fingers in all.

How many fingers are there in all?

There are 3 groups of 5. 5 + 5 + 5 = 15 3 x 5 = 15 There are 15 fingers in all.

1 48

Let’s Practice 1. Match. 2x8

3x4

8 groups of 2

6x3

5 groups of 5

4x4

Ed uc a

6 groups of 3

tio n

2 groups of 4

8x2

3 groups of 4

2x4

2 groups of 8

4 groups of 4

5x5

149

2. Fill in the blanks. How many cubes in all?

There are

groups of +

(b)

cubes in all.

There are

groups of

cubes in all.

groups of

There are

150

There are (c)

Ed uc a

There are

tio n

(a)

+ cubes in all.

. +

There are

groups of +

(e)

cubes in all.

There are

groups of

al +

. +

Ed uc a

There are

tio n

(d)

cubes in all.

There are

1 51

(b) Home At 1. Match.

Ed uc a

7 twos

3 threes

6x2

3x6

3x3

5 fours

5 threes

152

5x3

tio n

6 twos

5x4

8 fours

7x2

3 sixes

8x4

2. Fill in the blanks. How many objects in all?

twos =

There are

keys in all.

(b)

Ed uc a

tio n

(a)

threes =

There are

= kittens in all. 1 53

fours =

tio n

(c)

Ed uc a

There are

(d)

books in all.

fives =

There are

154

= ice cream scoops in all.

3. Fill in the blanks. How many objects in all?

Ed uc a

tio n

(a)

twos =

There are

(b)

shoes in all.

sixes =

There are

= eggs in all.

155

threes =

Ed uc a

There are

birds in all.

(d)

tio n

(c)

threes =

There are 156

= cherries in all.

4. Complete the equations.

threes =

(b)

Ed uc a

tio n

(a)

(c)

= x

= 1 57

Ed uc a

tio n

(d)

(e)

158

= x

Solve It!

Ed uc a

tio n

Add the numbers. Match the letters to find Riley’s favorite soup.

20 159

Repeated Addition Word Problems There are 5 snakes. Each snake has 3 eggs. How many eggs are there in all?

Ed uc a

tio n

Let’s Learn

3 + 3 + 3 + 3 + 3 = 15 5 x 3 = 15 There are 15 eggs in all.

There are 4 beetles on a branch. Each beetle has 6 legs. How many legs are there in all?

6 + 6 + 6 + 6 = 24 6 x 4 = 24 There are 24 legs in all.

160

There are 4 cars. Each car has 4 wheels. How many wheels are there in all?

Ed uc a

There are 4 fours. 4 x 4 = 16 There are 16 wheels in all.

tio n

There are 8 plants. Each plant has 3 flowers. How many flowers are there in all?

There are 8 threes. 8 x 3 = 24 There are 24 flowers in all.

Instead of drawing 8 rectangles, we can use the dotted lines like this.

161

Let’s Practice

There are

Ed uc a

tio n

1. There are 5 lilies in a pond. On each lily there are 3 frogs. How many frogs are in the pond in all?

groups of

frogs in the pond in all.

2. There are 6 birthday cakes. On each cake there are 4 candles. How many candles are there in all?

groups of

There are

There are 1 62

. +

candles in all.

threes =

There are

Ed uc a

tio n

3. There are 3 fruit bowls. In each bowl there are 6 pieces of fruit. How many pieces of fruit are there in all?

pieces of fruit in all.

4. 4 children visited the library. Each child borrowed 6 books. How many books did the children borrow in all?

sixes =

The children borrowed

books in all.

163

(b) Home At

There are

Ed uc a

tio n

1. There are 3 spiders. Each spider has 8 legs. How many legs are there in all?

groups of

legs in all.

2. A bakery sells donuts in boxes of 6 donuts. How many donuts are in 4 such boxes?

There are

There are 164

groups of +

. =

donuts in 4 boxes.

sevens =

There are

Ed uc a

tio n

3. There are 5 shirts. Each shirt has 7 buttons. How many buttons are there in all?

buttons in all.

4. There are 10 bicycles at a rack. Each bicycle has 2 wheels. How many wheels are there in total?

twos =

There are

= wheels in total.

165

sixes =

He used

Ed uc a

tio n

5. Mr. Hopkins bakes a tray of 8 cookies. Each cookie has 6 chocolate chips. How many chocolate chips did he use in baking the cookies?

chocolate chips.

6. 3 mini buses are used to take students to a sports carnival. Each bus has 10 seats. How many seats are there in total?

tens =

There are 166

= seats in total.

Solve It!

Ed uc a

tio n

An automotive company makes motorcycles and cars. In 1 day, they produce 12 cars and 8 motorcycles. How many wheels will they need in total? Use the space below to find the answer.

The automotive company will need

wheels in total. 1 67

Multiplying by 2 Let’s Learn

Ed uc a

tio n

There are 8 pairs of socks. How many socks are there in all?

There are 8 groups of 2.

I need to find 8 x 2.

Skip count in 2s.

3 4

5 6 7 8

168

Multiply using dot paper. 8 x 2 = 16 There are 16 socks in all.

There are 10 plates. There are 2 apples on each plate.

1 2 3 4 5

tio n

6 7

10 groups of 2. 10 x 2 = 20

Ed uc a

Let’s learn the 2 times table.

1x2=2 2x2=4

3x2=6 4x2=8 5 x 2 = 10 6 x 2 = 12 7 x 2 = 14 8 x 2 = 16 9 x 2 = 18 10 x 2 = 20 169

Let’s Practice 1. Fill in the blanks.

Ed uc a

There are (b)

chillies in all.

There are

almonds in all.

(c)

tio n

(a)

There are 170

= cubes in all.

2. Fill in the blanks. (a) 6

tio n

(c)

Ed uc a

(b)

3. Color the 2 times table.

99 100

171

(b) Home At

2 twos

tio n

1. Color the balloons that give the same number. Use a different color for each pair of balloons.

2x2

Ed uc a

6x2

9 twos

10 twos

4 twos

10 x 2

9x2

172

6 twos

4x2

2. Fill in the blanks.

twos =

(c)

Ed uc a

(b)

tio n

(a)

twos =

173

3. Draw groups of dots to show the multiplication sentence. Complete the equation.

tio n

(a) 6 x 2

(b) 5 x 2

5 x 2 =

Ed uc a

6 x 2 =

7 x 2 =

(d) 10 x 2

10 x 2 = 174

4. Use the dot paper to make a multiplication equation. 1 2 (a) (b) 1

1 2 (c) (d)

1 1 2

Ed uc a

2 3

tio n

5. Complete the equations.

(b) 7 x 2 =

(d) 3 x 2 =

(e) 6 x 2 =

(f) 2 x 8 =

(a) 2 x 5 =

(g)

(i) 2 x (k)

x 2 = 2 (h)

x 2 = 20

= 18 (j)

x 7 = 14

x 2 = 16 (l)

x 2 = 12

175

Hands On

Multi-Bingo!

Board 1

176

Ed uc a

tio n

Play Multi-Bingo! in pairs. Fill each board with the numbers shown on the balls. Roll a 10-sided dice and multiply the number by 2. Cross out the matching number in Board 1. Switch roles with your partner. The first person to get 3 in a row is the winner. Play the game again using Board 2.

Board 2

Multiplying by 3 Let’s Learn

Ed uc a

tio n

There are 9 bunches of cherries. There are 3 cherries in each bunch. How many cherries are there in all?

There are 9 groups of 3.

I need to find 9 x 3.

Skip count in 3s.

3 4

Multiply using dot paper.

5 6 7 8 9

9 x 3 = 27 There are 27 cherries in all. 177

There are 7 tubes of tennis balls. There are 3 tennis balls in each tube. How many tennis balls are there in all? 1

tio n

3 4

5 6

7 groups of 3. 7 x 3 = 21

Ed uc a

Let’s learn the 3 times table.

1x3=3 2x3=6

3x3=9 4 x 3 = 12 5 x 3 = 15 6 x 3 = 18 7 x 3 = 21 8 x 3 = 24 9 x 3 = 27 10 x 3 = 30

178

Let’s Practice 1. Fill in the blanks.

Ed uc a

There are (b)

balloons in all.

tio n

(a)

pebbles in all.

There are

(c)

There are

= cubes in all. 179

2. Fill in the blanks. (a) 6

(b)

Ed uc a

(c)

tio n

3. Color the 3 times table. 2

99 100

180

Hands On

Ed uc a

tio n

Play Multi-Bingo! in pairs. Fill each board with the numbers shown on the balls. Roll a 10-sided dice and multiply the number by 3. Cross out the matching number in Board 1. Switch roles with your partner. The first person to get 3 in a row is the winner. Play the game again using Board 2.

Multi-Bingo! Board 2

Board 1

181

(b) Home At

5 threes

7x3

Ed uc a

9 threes

tio n

1. Color the balloons that give the same number. Use a different color for each pair of balloons.

3 threes

10 x 3

10 threes

9x3

182

3x3

7 threes

5x3

2. Fill in the blanks.

threes =

(c)

Ed uc a

(b)

tio n

(a)

threes =

183

3. Draw groups of dots to show the multiplication sentence. Complete the equation.

tio n

(a) 5 x 3

(b) 9 x 3

9 x 3 =

Ed uc a

5 x 3 =

7 x 3 =

(d) 6 x 3

6 x 3 = 184

4. Use the dot paper to make a multiplication equation. (a) (b) 1 2 3 1 2 3 4

1 2 3 1 2 3 4 5 6 7 8 9

Ed uc a

1 2 3 4 5 6 7 8

tio n

1 2 3

5. Complete the equations.

(b) 7 x 3 =

(d) 3 x 8 =

(e) 10 x 3 =

(f) 3 x 2 =

(a) 3 x 5 =

(g)

(i) 3 x (k)

x 3 = 12 (h)

x3=3

= 12 (j)

x 7 = 21

x 3 = 27 (l)

x3=9 185

Multiplying by 4 Let’s Learn

Ed uc a

tio n

There are 7 stacks of books. There are 4 books in each stack. How many books are there in all?

There are 7 groups of 4.

I need to find 7 x 4.

Skip count in 4s.

3 4 5 6 7

186

Multiply using dot paper. 7 x 4 = 28 There are 28 books in all.

There are 8 bunches of bananas. There are 4 bananas in each bunch. How many bananas are there in all?

1 2 3

tio n

5 6 7

8 groups of 4. 8 x 4 = 32

Ed uc a

Let’s learn the 4 times table.

1x4=4 2x4=8

3 x 4 = 12 4 x 4 = 16 5 x 4 = 20 6 x 4 = 24 7 x 4 = 28 8 x 4 = 32 9 x 4 = 36 10 x 4 = 40 1 87

Let’s Practice 1. Fill in the blanks.

Ed uc a

There are (b)

pieces of chocolate in all.

There are

balloons in all.

(c)

tio n

(a)

There are 1 88

= cubes in all.

2. Fill in the blanks. (a) 8

(b)

Ed uc a

(c)

tio n

3. Color the 4 times table. 2

99 100

189

Hands On

Multi-Bingo!

Board 1

190

Ed uc a

tio n

Play Multi-Bingo! in pairs. Fill each board with the numbers shown on the balls. Roll a 10-sided dice and multiply the number by 4. Cross out the matching number in Board 1. Switch roles with your partner. The first person to get 3 in a row is the winner. Play the game again using Board 2.

Board 2

(b) Home At

8 fours

8x4

Ed uc a

3x4

tio n

1. Color the balloons that give the same number. Use a different color for each pair of balloons.

9 fours

9x4

7 fours

10 fours

7x4

3 fours

10 x 4

191

2. Fill in the blanks.

fours =

(c)

Ed uc a

(b)

tio n

(a)

192

fours =

3. Draw groups of dots to show the multiplication sentence. Complete the equation.

tio n

(a) 6 x 4

(b) 2 x 4

2 x 4 =

Ed uc a

6 x 4 =

7 x 4 =

(d) 9 x 4

9 x 4 = 193

4. Use the dot paper to make a multiplication equation. 1 2 3 4 (a) (b)

1 2 3 4 (c) (d)

1 1

Ed uc a

1 3

tio n

8 9

5. Complete the equations.

(b) 5 x 4 =

(d) 9 x 4 =

(e) 10 x 4 =

(f) 7 x 4 =

(a) 3 x 4 =

(g)

(i) 8 x (k)

194

x 4 = 16 (h)

x 4 = 24

= 32 (j) x 4 = 28 (l)

x4=0

x4=8

Solve It! 1. There are 10 children at East Coast Park. Some children are riding bicycles. Some children are riding tricycles.

tio n

This tricycle has 3 wheels.

Ed uc a

My bicycle has 2 wheels.

There are 24 wheels in all. How many children are riding bicycles? How many children are riding tricycles? Complete the table below to help you find the answers. Number of wheels

Number of tricycles

Number of wheels

Total number of wheels

3x2=6

7 x 3 = 21

4x2=8

6 x 3 = 18

3x3=9

Number of bicycles

6 7

7 x 2 = 14

children are riding bicycles.

children are riding tricycles. 195

Ed uc a

tio n

2. Mr. McDonald has chickens and sheep on his farm.

He counts his animals. There are 14 animals and 42 legs. How many chickens does Mr. McDonald have? How many sheep does he have? Complete the table below to help you find the answers.

Number of Number of chickens chicken legs

Total number of legs

9 x 4 = 36

5 x 4 = 20

5 x 2 = 10

6 x 2 = 12

Number of sheep legs

9 x 2 = 18

Mr. McDonald has 196

Number of sheep

5 chickens and

sheep.

Multiplying by 5

Ed uc a

There are 4 stacks of pizza boxes. There are 5 pizza boxes in each stack. How many pizza boxes are there in all?

tio n

Let’s Learn

There are 4 groups of 5.

I need to find 4 x 5.

Skip count in 5s.

Multiply using dot paper.

3 4

4 x 5 = 20 There are 20 boxes in all. 197

There are 8 stacks of donuts. There are 5 donuts in each stack. 1

1 2

tio n

3 4

5 6 7

8 groups of 5. 8 x 5 = 40

Ed uc a

Let’s learn the 5 times table.

1x5=5 2 x 5 = 10

3 x 5 = 15 4 x 5 = 20 5 x 5 = 25 6 x 5 = 30 7 x 5 = 35 8 x 5 = 40 9 x 5 = 45 10 x 5 = 50

1 98

Let’s Practice 1. Fill in the blanks.

Ed uc a

There are (b)

tomatoes in all.

There are

flowers in all.

(c)

tio n

(a)

There are

= cubes in all. 199

2. Fill in the blanks. (a) 10

tio n

5 (b)

Ed uc a

(c)

3. Color the 5 times table. 2

99 100

2 00

Hands On

Ed uc a

tio n

Play Multi-Bingo! in pairs. Fill each board with the numbers shown on the balls. Roll a 10-sided dice and multiply the number by 5. Cross out the matching number in Board 1. Switch roles with your partner. The first person to get 3 in a row is the winner. Play the game again using Board 2.

Multi-Bingo! Board 2

Board 1

2 01

(b) Home At

5 fives

9x5

Ed uc a

10 x 5

tio n

1. Color the balloons that give the same number. Use a different color for each pair of balloons.

7 fives

1x5

5x5

10 fives

7x5

202

9 fives

1 five

2. Fill in the blanks.

fives =

(b)

Ed uc a

tio n

(a)

fives =

203

3. Draw groups of dots to show the multiplication sentence. Complete the equation.

tio n

(a) 7 x 5

(b) 6 x 5

6 x 5 =

Ed uc a

7 x 5 =

4 x 5 =

(d) 9 x 5

9 x 5 = 2 04

4. Use the dot paper to make a multiplication equation. 1

3 4

1 2 3 4 5 (c) (d)

1 1

Ed uc a

tio n

(a) (b) 1 2 3 4 5

5. Complete the equations.

(b) 5 x 8 =

(d) 9 x 5 =

(e) 10 x 5 =

(f) 5 x 6 =

(a) 5 x 5 =

(g)

(i) 5 x (k)

x 5 = 10 (h)

x 5 = 35

= 5 (j)

x 5 = 40

x 5 = 15 (l)

x 5 = 50

205

Multiplying by 10 Let’s Learn

Ed uc a

tio n

There are 8 egg cartons. There are 10 eggs in each carton. How many eggs are there in all?

There are 8 groups of 10.

I need to find 8 x 10.

Skip count in 10s.

9 10

3 4

Multiply using dot paper.

5 6 7 8

2 06

8 x 10 = 80 There are 80 eggs in all.

There are 7 bundles of sticks. There are 10 sticks in each bundle. 1

1 2 4 5 6

7 groups of 10. 7 x 10 = 70

Ed uc a

tio n

Let’s learn the 10 times table.

1 x 10 = 10 2 x 10 = 20

3 x 10 = 30 4 x 10 = 40 5 x 10 = 50 6 x 10 = 60 7 x 10 = 70 8 x 10 = 80 9 x 10 = 90 10 x 10 = 100 207

Let’s Practice 1. Fill in the blanks.

Ed uc a

There are (b)

candles in all.

There are

grapes in all.

(c)

tio n

(a)

There are 208

= boxes in all.

2. Fill in the blanks. (a) 20

tio n

10 (b)

Ed uc a

(c)

3. Color the 10 times table. 2

99 100

209

Hands On

Multi-Bingo!

Board 1

21 0

100

Ed uc a

tio n

Play Multi-Bingo! in pairs. Fill each board with the numbers shown on the balls. Roll a 10-sided dice and multiply the number by 10. Cross out the matching number in Board 1. Switch roles with your partner. The first person to get 3 in a row is the winner. Play the game again using Board 2.

Board 2

(b) Home At

10 tens

7 tens

Ed uc a

5 x 10

tio n

1. Color the balloons that give the same number. Use a different color for each pair of balloons.

2 tens

9 x 10

2 x 10

5 tens

9 tens

10 x 10

7 x 10

211

2. Fill in the blanks.

tens =

(b)

Ed uc a

tio n

(a)

212

tens =

3. Draw groups of dots to show the multiplication sentence. Complete the equation.

tio n

(a) 7 x 10

(b) 3 x 10

3 x 10 =

Ed uc a

7 x 10 =

8 x 10 =

(d) 4 x 10

4 x 10 = 213

4. Use the dot paper to make a multiplication equation. (a) (b) 1 2 3 4 5 6 7 8 9 10

2 3 4 5 6

1 2 3 4 5 6 7 8 9 10 (c) (d)

5. Complete the equations.

(b) 5 x 10 =

(d) 9 x 10 =

(e) 10 x 4 =

(f) 10 x 8 =

(a) 10 x 1 =

(k) 21 4

9 10

Ed uc a

(i) 6 x

(g)

tio n

x 5 = 50 (h)

x 10 = 70

= 60 (j)

x 3 = 30

x 10 = 100 (l)

x 10 = 0

9 10

Hands On

Ed uc a

tio n

Work in pairs. Think of a multiplication equation. Use blocks to model the equation. Your partner says the equation and writes it in the space below. Switch roles and repeat 4 times.

(a)

(b)

(c)

(d)

215

Solve It! Fill in the missing numbers.

(c)

21 6

(e)

tio n

(b)

Ed uc a

(a)

(d)

(f)

100

32 50

Hands On Work with your partner to color the 2, 3, 4, 5 and 10 times tables. Use a different color for each times table.

99 100

Ed uc a

tio n

Do you notice any patterns? Are any numbers colored more than once? Why?

We have learned the 4 times table to 40. Can you continue the pattern to 100?

217

Multiplying by 6 How many cubes are there altogether? Count in sixes.

10 x 6 is the same as 6 x 10.

Ed uc a

There are 10 groups of 6. 10 x 6 = 60 There are 60 cubes altogether.

tio n

Let’s Learn

There are 7 bunches of bananas. There are 6 bananas in each bunch. How many bananas are there altogether?

6, 12, 18, ...

There are 7 groups of 6. 7 x 6 = 42 There are 42 bananas altogether.

1 1 2 3 4 5 6 7

218

There are 5 beetles. Each beetle has 6 legs. How many legs are there altogether?

1 2

tio n

3 4

6 x 5 = 30 There are 30 legs altogether.

Ed uc a

Let’s learn the 6 times table.

1x6=6 2 x 6 = 12 3 x 6 = 18 4 x 6 = 24

5 x 6 = 30 6 x 6 = 36 7 x 6 = 42 8 x 6 = 48 9 x 6 = 54 10 x 6 = 60

219

Let’s Practice 1. Fill in the blanks.

Ed uc a

There are (b)

eggs altogether.

donuts altogether.

There are (c)

tio n

(a)

There are

22 0

= crayons altogether.

2. Fill in the blanks. (a)

sixes =

(c)

sixes =

(d)

sixes =

Ed uc a

(b)

tio n

sixes =

221

3. Fill in the blanks. (a) 12

tio n

6 (b)

Ed uc a

(c)

4. Color the 6 times table. 2

99 100

222

(b) Home At 1. Fill in the blanks.

(b)

sixes =

(c)

sixes =

Ed uc a

tio n

(a)

sixes =

223

2. Use the dot paper to make a multiplication equation. (a) (b) 1 2 3 4 5 6

5 6

tio n

1 2 3 4 5 6 (c) (d)

4 5

6 7 8 9 10

1 2 3 4 5 6 (e) (f)

1 1

Ed uc a

4 5 6 7 8 9

x 224

3. Write two multiplication equations to show the number of squares in each grid. x

tio n

(a)

Ed uc a

(b)

4. Complete the equations.

(b) 5 x 6 =

(d) 9 x 6 =

(e) 6 x 4 =

(f) 6 x 8 =

(a) 10 x 6 =

(g)

(i) 6 x (k)

x 6 = 18 (h)

x6=0

= 54 (j)

x6=6

x 2 = 12 (l)

x 7 = 42

225

Multiplying by 7 How many cubes are there altogether? Count in sevens.

Ed uc a

tio n

Let’s Learn

There are 10 groups of 7. 10 x 7 = 70 There are 70 cubes altogether.

10 x 7 is the same as 7 x 10.

7, 14, 21, ...

There are 5 stacks of boxes. There are 7 boxes in each stack. How many boxes are there altogether?

There are 5 groups of 7. 5 x 7 = 35 There are 35 boxes altogether.

1 1 2 3 4 5

22 6

There are 7 branches. There are 7 leaves on each branch. How many leaves are there altogether?

1 2 3 4 5

tio n

6 7

Ed uc a

7 x 7 = 49 There are 49 leaves altogether. Let’s learn the 7 times table.

1x7=7 2 x 7 = 14

3 x 7 = 21 4 x 7 = 28 5 x 7 = 35 6 x 7 = 42 7 x 7 = 49 8 x 7 = 56 9 x 7 = 63 10 x 7 = 70 227

Let’s Practice 1. Fill in the blanks.

Ed uc a

tio n

(a)

There are

(b)

balloons altogether.

There are 228

= pancakes altogether.

2. Fill in the blanks. (a)

sevens =

(c)

Ed uc a

(b)

tio n

sevens =

229

3. Fill in the blanks. (a) 14

tio n

7 (b)

Ed uc a

(c)

4. Color the 7 times table. 2

99 100

230

(b) Home At 1. Fill in the blanks.

(b)

sevens =

(c)

sevens =

Ed uc a

tio n

(a)

sevens =

231

2. Use the dot paper to make a multiplication equation. (a) (b) 1 2 3 4 5 6 7

1 1

tio n

1 2 3 4 5 6 7 (c) (d) 1

Ed uc a

6 7

1 2 3 4 5 6 7 (e) (f) 2

232

3. Write two multiplication equations to show the number of squares in each grid.

tio n

(a)

Ed uc a

(b)

4. Complete the equations.

(b) 5 x 7 =

(d) 7 x 7 =

(a) 7 x 6 =

(e) 4 x 7 =

(g)

(i) 6 x (k)

(f) 9 x 7 =

x 7 = 21 (h)

x7=7

= 42 (j)

x 7 = 28

x 7 = 14 (l)

x 7 = 56

233

Multiplying by 8 How many cubes are there altogether? Count in eights.

10 x 8 is the same as 8 x 10.

Ed uc a

tio n

Let’s Learn

There are 10 groups of 8. 10 x 8 = 80 There are 80 cubes altogether.

There are 7 stacks of cookies. There are 8 cookies in each stack. How many cookies are there altogether?

8, 16, 24, ...

There are 7 groups of 8. 7 x 8 = 56 There are 56 cookies altogether.

23 4

1 1 2 3 4 5 6 7

tio n

There are 3 stacks of books. There are 8 books in each stack. How many books are there altogether?

Ed uc a

3 x 8 = 24 There are 24 books altogether. Let’s learn the 8 times table.

1x8=8 2 x 8 = 16

3 x 8 = 24 4 x 8 = 32 5 x 8 = 40 6 x 8 = 48 7 x 8 = 56 8 x 8 = 64 9 x 8 = 72 10 x 8 = 80 235

Let’s Practice 1. Fill in the blanks.

Ed uc a

tio n

(a)

There are

(b)

balloons altogether.

There are

236

= legs altogether.

2. Fill in the blanks.

(b)

eights =

(c)

eights =

Ed uc a

tio n

(a)

eights =

237

3. Fill in the blanks. (a) 16

(b)

Ed uc a

tio n

4. Color the 8 times table. 2

99 100

238

(b) Home At 1. Fill in the blanks.

(b)

eights =

(c)

eights =

Ed uc a

tio n

(a)

eights =

239

2. Use the dot paper to make a multiplication equation. (a) (b) 1 2 3 4 5 6 7 8

1 1

tio n

1 2 3 4 5 6 7 8 (c) (d) 1

Ed uc a

3 4

1 2 3 4 5 6 7 8 (e) (f) 1

8 9

x x

240

3. Write two multiplication equations to show the number of squares in each grid.

tio n

(a)

Ed uc a

(b)

4. Complete the equations. (b) 1 x 8 =

(d) 3 x 8 =

(e) 4 x 8 =

(f) 9 x 8 =

(a) 8 x 8 =

(g)

(i) 6 x (k)

x 8 = 40 (h)

x 8 = 64

= 48 (j)

x 8 = 80

x 8 = 0 (l)

x1=8 2 41

Multiplying by 9 How many cubes are there altogether? Count in nines.

Ed uc a

tio n

Let’s Learn

There are 10 groups of 9. 10 x 9 = 90 There are 90 cubes altogether.

10 x 9 is the same as 9 x 10.

There are 4 cakes. There are 9 candles on each cake. How many candles are there altogether?

9, 18, 27, ...

There are 4 groups of 9. 4 x 9 = 36 There are 36 candles altogether. 2 42

1 1 2 3 4

There are 9 loaves of bread. There are 9 slices of bread in each loaf. How many slices of bread are there altogether? 1

1 2

tio n

3 4

5 6 7

Ed uc a

9 x 9 = 81 There are 81 slices of bread altogether. Let’s learn the 9 times table.

1x9=9 2 x 9 = 18

3 x 9 = 27 4 x 9 = 36 5 x 9 = 45 6 x 9 = 54 7 x 9 = 63 8 x 9 = 72 9 x 9 = 81 10 x 9 = 90 243

Let’s Practice 1. Fill in the blanks.

Ed uc a

tio n

(a)

There are

(b)

balloons altogether.

There are 2 44

= logs altogether.

2. Fill in the blanks.

(b)

nines =

Ed uc a

tio n

(a)

(c)

245

3. Fill in the blanks. (a) 18

(b)

Ed uc a

tio n

4. Color the 9 times table. 2

99 100

2 46

(b) Home At 1. Fill in the blanks.

(b)

nines =

(c)

nines =

Ed uc a

tio n

(a)

nines =

247

2. Use the dot paper to make a multiplication equation. (a) (b) 1 2 3 4 5 6 7 8 9

1 1

tio n

Ed uc a

1 2 3 4 5 6 7 8 9 (c) (d) 1

3 4

1 2 3 4 5 6 7 8 9 (e) (f) 1

2 48

3. Write two multiplication equations to show the number of squares in each grid.

tio n

(a)

Ed uc a

(b)

4. Complete the equations. (b) 4 x 9 =

(d) 3 x 9 =

(e) 9 x 8 =

(f) 9 x 7 =

(a) 2 x 9 =

(g)

(i) 6 x (k)

x 9 = 45 (h)

x 9 = 81

= 54 (j) 9 x x 9 = 18 (l)

= 27 x1=9 249

Solve It! Complete the multiplication grids. What number does each shape represent?

Ed uc a

tio n

(a)

8 =

(b)

25 0

60 =

(d)

24 =

Ed uc a

tio n

(c)

36 21

27 =

2 51

Hands On Work with your partner to color the 6, 7, 8, and 9 times tables. Use a different color for each times table.

Ed uc a

99 100

R 2 52

tio n

Do you notice any patterns? Are any numbers colored more than once? Why?

We have learned the 6 times table to 60. Can you continue the pattern to 100?

Multiplying by 6, 7, 8 and 9 Let’s Learn

tio n

Multiply.

Ed uc a

4 x 6 = 24 6 x 4 = 24

4 groups of 6

6 groups of 4

6x4

So, 4 x 6 = 6 x 4.

4x6

253

Let’s Practice Multiply.

(b)

(c)

Ed uc a

tio n

(a)

254

(f)

Ed uc a

(e)

tio n

(d)

(g)

2 55

(b) Home At 1. Multiply.

(b)

= 3

3 4 5 6 7 8 9

(c)

Ed uc a

1 2

tio n

(a)

2 56

(e)

Ed uc a

tio n

(d)

2. Complete the equations. (b) 9 x 5 =

(d) 3 x 8 =

(e) 4 x 7 =

(f) 9 x 4 =

(a) 7 x 3 =

(g)

(i) 6 x (k)

x 9 = 54 (h) = 42 (j) 9 x x 7 = 49 (l)

x 8 = 72 = 36 x 7 = 63 2 57

Solve It!

(a)

Ed uc a

tio n

Fill in the blanks. What is the rule? The first one has been done for you.

The rule is x 2 . 2

(b)

The rule is 258

18 .

The rule is

(d)

Ed uc a

tio n

(c)

The rule is

259

Multiplication Word Problems Let’s Learn

Ed uc a

tio n

1. Riley baked 8 muffins. Chelsea baked 4 times as many muffins as Riley. How many muffins did Chelsea bake? 8

8 x 4 = 32 Chelsea baked 32 muffins.

2. Halle saves $6 every week. How much money does Halle save in 7 weeks? $6

6 x 7 = 42 Halle saves $42 in 7 weeks.

3. Mrs. Brown bought 9 cartons of eggs. Each carton contained 10 eggs. How many eggs did Mrs. Brown buy in all? 10

10 x 9 = 90 Mrs. Brown bought 90 eggs in all. 26 0

Let’s Practice

Blake packs

Ed uc a

tio n

1. Blake has 8 boxes. He packs 8 donuts into each box. How many donuts does Blake pack altogether?

donuts altogether.

2. Mrs. Thakur buys 7 packets of pasta. A packet of pasta costs $9. How much does Mrs. Thakur spend in all?

Mrs. Thakur spent $

in all.

261

Ed uc a

tio n

3. Wyatt and his brother sold 5 cups of lemonade on Saturday. They sold 5 times as many cups of lemonade on Sunday. How many cups of lemonade did they sell on Sunday?

Wyatt and his brother sold

cups of lemonade on Sunday.

4. Jordan has 6 marbles. Ethan has 8 times as many marbles as Jordan. How many marbles does Ethan have?

Ethan has 2 62

= marbles.

(b) Home At

tio n

1. Wyatt buys 4 chocolate bars. Each chocolate bar costs $2. How much did Wyatt spend in all?

Ed uc a

Wyatt spent $

in all.

2. A carton of milk has a mass of 2 kg. A crate of milk cartons hold 8 such cartons. Find the total mass of milk cartons in a crate.

8 cartons of milk has a mass of

kg.

263

Ed uc a

tio n

3. Color pencils come in a pack of 10. Mrs. Choi buys 10 such packs for her class. How many color pencils did she buy in total?

Mrs. Choi bought color pencils in total. 4. There are 9 strawberries on a chocolate cake. How many strawberries are there on 9 identical cakes?

There are 264

= strawberries on 9 cakes.

Solve It! Each shape represents a number. Fill in the blanks. x

(b)

x2=

=9 =

Ed uc a

has a value of

(c)

tio n

(a)

= 15

has a value of

+4 .

265

= 27

x7=

has a value of

(e)

x4=

has a value of

= 15

2 66

(f) 3 x

tio n

Ed uc a

(d)

has a value of

Looking Back 1. Complete the following.

sixes =

There are (b)

Ed uc a

tio n

(a)

nines =

cubes in all.

There are

dots in all.

(c)

sevens =

There are

= dots in all. 2 67

2. Fill in the blanks. (a) 6

(b)

(d) 7

(f)

(e)

Ed uc a

(c)

tio n

(g)

268

100

3. Write two multiplication equations to show the number of dots. (a)

1 2 3 5

(b)

1 3 4 5 6 7 8 9

(c)

1 2 3 4

5 6 7

(d)

Ed uc a

tio n

9 10

3 4 5 6 7 8 9

= 269

4. Color the 4 times table blue and the 9 times table red. 2

99 100

Ed uc a

tio n

5. Complete the equations.

(b) 9 x 5 =

(a) 7 x 3 = (c) 8 x 0 =

x 9 = 54 (f)

(e)

(d) 3 x 8 =

(g) 6 x

(i)

x 8 = 72

= 42 (h) 9 x

x 7 = 49 (j)

= 36 x 7 = 63

(k) 7 x 3 =

(l) 9 x 5 =

(m) 8x8=

(n) 10 x 8 =

(o) 2 70

x 9 = 90 (p)

x 10 = 100

There are

Ed uc a

tio n

6. A train carriage has 10 seats. How many seats are there in 4 such carriages?

seats in 4 train carriages.

7. A block of chocolate is divided into 9 pieces. How many pieces are there in 8 such blocks?

There are

pieces of chocolate in 8 blocks.

271

Division (1)

Ed uc a

Anchor Task

tio n

Sharing Equally

27 2

Let’s Learn

Ed uc a

tio n

There are 6 cookies. There are 2 children. Share the cookies so that each child gets the same number of cookies.

The 6 cookies are divided into 2 equal groups. There are 3 cookies in each group. Each child gets 3 cookies. We write: 6 ÷ 2 = 3 We say: Six divide two is three. The symbol ‘÷’ means divide. 6 ÷ 2 = 3 is a division equation. 273

Ed uc a

tio n

There are 9 carrots. There are 3 rabbits. Share the carrots equally among the rabbits. How many carrots will each rabbit get?

The carrots have been shared equally. Each rabbit gets 3 carrots.

We can write this as: 9 ÷ 3 = 3

2 74

tio n

There are 24 cubes.

Let’s share the cubes equally in different ways.

Ed uc a

(a) There are 3 groups. There are 8 cubes in each group.

24 divide 3 is 8. 24 ÷ 3 = 8

(b) There are 4 groups. There are 6 cubes in each group.

24 divide 4 is 6. 24 ÷ 4 = 6

275

Ed uc a

24 divide 2 is 12. 24 ÷ 2 = 12

tio n

(d) There are 12 groups. There are 2 cubes in each group.

24 divide 12 is 2. 24 ÷ 12 = 2 276

Let’s Practice

There are

Ed uc a

tio n

1. Share the chocolates equally. Draw 1 chocolate on each plate and cross them off until no more remain. Fill in the blanks.

chocolates in total.

On each plate there are

chocolates.

2. Share the raisins equally among the cookies. Fill in the blanks.

raisins.

Each cookie gets

divide ÷

277

3. The counters have been shared equally. Write the division equation.

(b)

9÷ (c)

Ed uc a

10 ÷ 2 =

tio n

(a)

278

Solve It!

Ed uc a

tio n

Riley spent her summer vacation in Europe. Complete the division equations and match the letters to find the first city she visited.

6÷2=

6÷3=

8÷2=

R 2

14 ÷ 2 =

6÷1=

15 ÷ 3 =

7 279

At Home

Ed uc a

tio n

1. Share the worms equally among the birds. Fill in the blanks.

Each bird gets

divide ÷

worms.

2. Share the flowers equally among the children. Fill in the blanks.

flowers.

Each girl gets

280

divide ÷

3. The counters have been shared equally. Write the division equation.

(b)

Ed uc a

tio n

(a)

281

Grouping Equally

Ed uc a

Halle packs 12 soft toys into boxes. 6 soft toys fit into each box. How many boxes does she use?

tio n

Let’s Learn

There are 2 groups of 6 soft toys. Halle uses 2 boxes.

12 divide 6 is 2. 12 ÷ 6 = 2

2 82

How can you check the answer?

Ed uc a

tio n

Dominic has 24 pieces of candy. He gives each of his friends 6 candies. How many friends does Dominic give his candies to?

There are 4 groups of 6 candies. Dominic gives his candies to 4 friends. 24 divide 6 is 4. 24 ÷ 6 = 4.

There are 40 cubes.

(a) Divide the cubes into groups of 10. How many groups of cubes are there?

There are 4 groups of 10 cubes. 40 ÷ 10 = 4 283

tio n

(b) Divide the cubes into groups of 8. How many groups of cubes are there?

Ed uc a

There are 5 groups of 8 cubes. 40 ÷ 8 = 5 (c) Divide the cubes into groups of 2. How many groups of cubes are there?

There are 20 groups of 2 cubes. 40 ÷ 2 = 20

2 84

Let’s Practice

Ed uc a

tio n

1. Circle groups of 2 butterflies.

(a) How many butterflies are there in total? (b) How many groups did you make?

divide

(d) Complete the division equation.

(e) Now circle groups of 5 butterflies.

How many groups did you make?

(f) Complete the sentence.

divide

(g) Complete the division equation.

285

Ed uc a

tio n

2. Circle groups of 6 flowers.

(a) How many flowers are there in total? (b) How many groups did you make?

divide

(d) Complete the division equation.

(e) Now circle groups of 3 flowers. How many groups did you make?

(f) Write a division sentence.

(g) Write a division equation. 286

At Home

tio n

1. Circle groups of 3 buttons.

Ed uc a

(a) How many buttons are there in total? (b) How many groups did you make?

divide

(d) Complete the division equation.

(e) Now circle groups of 5 flowers.

How many groups did you make?

(f) Write a division sentence.

(g) Write a division equation.

2 87

Ed uc a

tio n

2. Circle groups of 4 blocks.

(a) Write a division sentence.

(b) Write a division equation.

3. Complete the division equations.

(b) 6 ÷ 2 =

(a) 4 ÷ 2 =

(e) 10 ÷ 5 =

(g) 16 ÷ 4 =

(i) 20 ÷ 5 =

2 88

(d) 10 ÷ 2 =

(f) 14 ÷ 7 =

(h) 12 ÷ 6 =

(j) 24 ÷ 4 =

Dividing by 2 Let’s Learn

tio n

Sophie has 10 soccer balls. She puts an equal number of balls into 2 boxes. How many balls are in each box?

Ed uc a

2 x 5 = 10

10 ÷ 2 = 5 There are 5 soccer balls in each box.

Michelle has 18 candies. She puts an equal number of candies into 2 bags. How many candies are in each bag?

18 ÷ 2 = 9 There are 9 candies in each bag. 289

Let’s Practice

Ed uc a

tio n

1. The buttons are grouped in 2s. Fill in the blanks.

(a) There are

groups of

buttons.

(b) Complete the division equation.

2. Circle groups of 2 blocks and complete the division equation.

(a)

÷2=

(b)

290

÷2=

3. Circle groups of 2 dots and write a division equation.

tio n

(a)

Ed uc a

(b)

4. Complete the division. (a) 2 ÷ 2 = (c) 6 ÷ 2 =

(d) 8 ÷ 2 =

(f) 12 ÷ 2 =

(e) 10 ÷ 2 =

(b) 4 ÷ 2 =

5. Fill in the missing numbers. (a) 14 ÷

= 7 (b)

(d)

÷ 2 = 10 ÷ 2 = 16

291

At Home

Ed uc a

tio n

1. The coins are grouped in 2s. Fill in the blanks.

(a) There are

groups of

coins.

(b) Complete the division equation.

2. Circle groups of 2 blocks and complete the division equation.

(a)

÷2=

(b)

2 92

÷2=

3. Circle groups of 2 dots and write a division equation.

tio n

(a)

Ed uc a

(b)

4. Complete the division. (a) 2 ÷ 2 = (c) 10 ÷ 2 =

(d) 14 ÷ 2 =

(f) 22 ÷ 2 =

(e) 18 ÷ 2 =

(b) 6 ÷ 2 =

5. Fill in the missing numbers. (a) 16 ÷

= 8 (b)

(d)

÷ 2 = 12 ÷ 2 = 14

293

Dividing by 3 Let’s Learn 15 cookies are shared equally among 3 friends. How many cookies does each friend get?

tio n

Ed uc a

3 x 5 = 15

15 ÷ 3 = 5 Each friend gets 5 cookies.

24 cans of spaghetti are packed equally into 3 boxes. How many cans of spaghetti are in each box?

24 ÷ 3 = 8 There are 8 cans of spaghetti in each box. 2 94

Let’s Practice

Ed uc a

tio n

1. The crayons are grouped in 3s. Fill in the blanks.

(a) There are

groups of

crayons.

(b) Complete the division equation.

2. Circle groups of 3 blocks and complete the division equation.

(a)

÷3=

(b)

÷3=

295

3. Circle groups of 3 triangles and write a division equation.

tio n

(a)

Ed uc a

(b)

4. Complete the division. (a) 3 ÷ 3 = (c) 9 ÷ 3 =

(b) 6 ÷ 3 =

(d) 12 ÷ 3 =

(f) 18 ÷ 3 =

(e) 15 ÷ 3 =

5. Fill in the missing numbers. (a) 15 ÷

2 96

= 5 (b)

(d)

÷ 3 = 18 ÷ 3 = 24

At Home

Ed uc a

tio n

1. The ducks are grouped in 3s. Fill in the blanks.

(a) There are

groups of

ducks.

(b) Complete the division equation.

2. Circle groups of 3 blocks and complete the division equation.

(a)

÷3=

(b)

÷3=

297

3. Circle groups of 3 stars and write a division equation.

tio n

(a)

Ed uc a

(b)

4. Complete the division. (a) 9 ÷ 3 = (c) 21 ÷ 3 =

(b) 12 ÷ 3 =

(d) 24 ÷ 3 =

(f) 30 ÷ 3 =

(e) 27 ÷ 3 =

5. Fill in the missing numbers.

(a) 18 ÷

2 98

= 6

(b)

(d)

÷ 3 = 15 ÷ 3 = 21

Dividing by 4 There are 16 cupcakes. 4 cupcakes are placed into each box. How many boxes are needed?

tio n

Let’s Learn

Ed uc a

4 x 4 = 16

16 ÷ 4 = 4 There are 4 cupcakes in each box.

24 balloons are shared equally among 4 children. How many balloons does each child get?

24 ÷ 4 = 6 Each child gets 6 balloons. 299

Let’s Practice

Ed uc a

tio n

1. The leaves are grouped in 4s. Fill in the blanks.

(a) There are

groups of

leaves.

(b) Complete the division equation.

2. Circle groups of 4 blocks and complete the division equation.

(a)

÷4=

(b)

300

÷4=

3. Circle groups of 4 dots and write a division equation.

tio n

(a)

Ed uc a

(b)

4. Complete the division. (a) 4 ÷ 4 = (c) 8 ÷ 4 =

(b) 24 ÷ 4 =

(d) 28 ÷ 4 =

(f) 32 ÷ 4 =

(e) 12 ÷ 4 =

5. Fill in the missing numbers. (a) 28 ÷

= 7 (b)

(d)

÷ 4 = 10 ÷4=9

3 01

At Home

Ed uc a

tio n

1. The nuts are grouped in 4s. Fill in the blanks.

(a) There are

groups of

nuts.

(b) Complete the division equation.

2. Circle groups of 4 cubes and complete the division equation.

(a)

÷4=

(b)

302

÷4=

3. Circle groups of 4 hearts and write a division equation.

tio n

(a)

Ed uc a

(b)

4. Complete the division. (a) 16 ÷ 4 =

(f) 12 ÷ 4 =

(e) 40 ÷ 4 =

(d) 20 ÷ 4 =

(b) 36 ÷ 4 =

5. Fill in the missing numbers.

(a) 24 ÷ (c) 36 ÷ 4 =

= 6 (b)

(d)

÷4=8 ÷4=7

303

Dividing by 5 There are 15 bottles of ketchup. 5 bottles of ketchup are packed into each box. How many boxes are needed?

tio n

Let’s Learn

Ed uc a

5 x 3 = 15

15 ÷ 3 = 15 3 boxes are needed.

45 strawberries are shared equally among 5 children. How many strawberries does each child get?

45 ÷ 5 = 9 Each child gets 9 strawberries. 304

Let’s Practice

Ed uc a

tio n

1. The sweets are grouped in 5s. Fill in the blanks.

(a) There are

groups of

sweets.

(b) Complete the division equation.

2. Circle groups of 5 blocks and complete the division equation. (a)

÷5=

(b)

÷5=

305

3. Circle groups of 5 dots and write a division equation.

tio n

(a)

Ed uc a

(b)

4. Complete the division. (a) 5 ÷ 5 =

(b) 10 ÷ 5 =

(d) 20 ÷ 5 =

(f) 30 ÷ 5 =

(e) 25 ÷ 5 =

5. Fill in the missing numbers.

(a) 40 ÷

306

= 8 (b)

(d)

÷5=3 ÷5=5

At Home

Ed uc a

tio n

1. The clips are grouped in 5s. Fill in the blanks.

(a) There are

groups of

clips.

(b) Complete the division equation.

2. Circle groups of 5 blocks and complete the division equation.

(a)

÷5=

(b)

÷5=

307

3. Circle groups of 5 moons and write a division equation.

tio n

(a)

Ed uc a

(b)

4. Complete the division. (a) 35 ÷ 5 = (c) 25 ÷ 5 =

(d) 50 ÷ 5 =

(f) 40 ÷ 5 =

(e) 15 ÷ 5 =

(b) 45 ÷ 5 =

5. Fill in the missing numbers. (a) 45 ÷

308

= 9 (b)

(d)

÷5=4 ÷5=6

Dividing by 10 Let’s Learn 10

tio n

There are 60 eggs. 10 eggs are packed into each carton. How many cartons of eggs are there?

Ed uc a

10 x 6 = 60

60 ÷ 10 = 60 There are 6 cartons of eggs.

A florist has 100 flowers. She places an equal number of flowers into 10 vases. How many flowers are in each vase?

100 ÷ 10 = 10 There are 10 flowers in each vase. 309

Let’s Practice

Ed uc a

tio n

1. The marbles are grouped in 10s. Fill in the blanks.

(a) There are

groups of

marbles.

(b) Complete the division equation.

2. Circle groups of 10 blocks and complete the division equation.

31 0

÷ 10 =

3. Circle groups of 10 dots and write a division equation.

tio n

(a)

Ed uc a

(b)

4. Complete the division.

(b) 10 ÷ 10 =

(a) 40 ÷ 10 =

(e) 90 ÷ 10 =

(d) 70 ÷ 10 = (f) 30 ÷ 10 =

5. Fill in the missing numbers. (a) 70 ÷ (c) 50 ÷ 10 =

= 7 (b)

(d)

÷ 10 = 9 ÷ 10 = 4

311

At Home

Ed uc a

tio n

1. The shells are grouped in 10s. Fill in the blanks.

(a) There are

groups of

shells.

(b) Complete the division equation.

2. Circle groups of 10 blocks and complete the division equation.

312

÷ 10 =

3. Circle groups of 10 stars and write a division equation.

tio n

(a)

Ed uc a

(b)

4. Complete the division. (a) 50 ÷ 10 =

(b) 10 ÷ 10 =

(d) 40 ÷ 10 =

(f) 60 ÷ 10 =

(e) 80 ÷ 10 =

5. Fill in the missing numbers.

(a) 50 ÷

= 5 (b)

(d)

÷ 10 = 8 ÷ 10 = 7

313

Looking Back

raisins.

divide

Ed uc a

Each cookie gets

tio n

1. Share the raisins equally among the cookies. Fill in the blanks.

2. Share the fruits equally among the bowls. Fill in the blanks.

Each bowl gets

314

divide ÷

fruits.

3. Circle groups of 6 buttons.

(b) How many groups did you make? (c) Complete the division equation.

Ed uc a

tio n

(a) How many buttons are there in total?

4. Divide by 2. Complete the equations. (a) 2 ÷ 2 = (c) 6 ÷ 2 = (e) 20 ÷ 2 = (g) 8 ÷ 2 =

(d) 16 ÷ 2 =

(f) 4 ÷ 2 =

(h) 12 ÷ 2 =

(j) 18 ÷ 2 =

(i) 14 ÷ 2 =

(b) 10 ÷ 2 =

5. Divide by 3. Complete the equations. (a) 9 ÷ 3 =

(e) 21 ÷ 3 = (g) 12 ÷ 3 = (i) 30 ÷ 3 =

(b) 3 ÷ 3 =

(d) 24 ÷ 3 =

(f) 6 ÷ 3 =

(h) 18 ÷ 3 =

(j) 27 ÷ 3 =

315

6. Divide by 4. Complete the equations.

(a) 36 ÷ 4 =

(d) 8 ÷ 4 =

(e) 12 ÷ 4 =

(f) 4 ÷ 4 =

(g) 40 ÷ 4 =

(h) 24 ÷ 4 =

(j) 20 ÷ 4 =

Ed uc a

(i) 16 ÷ 4 =

tio n

(b) 28 ÷ 4 =

7. Divide by 5. Complete the equations. (a) 5 ÷ 5 = (c) 10 ÷ 5 = (e) 35 ÷ 5 = (g) 45 ÷ 5 =

(b) 15 ÷ 5 =

(d) 30 ÷ 5 =

(f) 20 ÷ 5 =

(h) 25 ÷ 5 =

(j) 40 ÷ 5 =

(i) 50 ÷ 5 =

8. Divide by 10. Complete the equations. (a) 40 ÷ 10 =

(e) 90 ÷ 10 = (g) 50 ÷ 10 =

(i) 80 ÷ 10 = 316

(b) 10 ÷ 10 = (d) 70 ÷ 10 = (f) 30 ÷ 10 =

(h) 100 ÷ 10 = (j) 60 ÷ 10 =