Arithmetics. Worksheets

Arithmetics Worksheets

OpenMaths.com 1.1.1

Ver 01:05/05/2010

NOTA La clasificación decimal de todos los temas de este manual tienen implícito el comienzo 1.1.1 correspondiente a 1

SCIENCE

1.1

MATHEMATICS

1.1.1

ARITHMETICS

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Miguel Pérez Fontenla miguelperez@edu.xunta.es INDICE AUTORES

Iniciado por: Miguel Pérez Fontenla 05/05/2010

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SUBJECT: Mathematics

THEME: Arithmetic

Group 1st Bach

1

1 .- Perform and simplify the following computation 1  1 1  −  3  2 5 112 28

2.- Simplify

3.- Perform and simplify the following operation 1' 19 + 1' 76 − 0' 465

4.- Rewrite this surd in the simplest possible terms

720 5.- Rationalise the denominator of this fraction 2 5 6.- Rationalise the denominator of this fraction 1+ 2 5 7.- Calculate and write the following operation in the simplest possible terms 3

− 125

8.- Express in one only index x 4 8

2 = 2x

9.- Check if it is true or false 1' 9

−1'9

= 0'25

10.- Perform and write the following operation in the simplest possible terms ( − 2 ) 3 ⋅ ( − 2 ) 4 ⋅ ( −2 ) 2

| 1

+

SUBJECT: Mathematics

THEME: Arithmetic

Group 1st Bach

2

1.- Perform and simplify the following computation 1 1 − 3+ − 4 3 4 28 112

2.- Simplify

3.- Perform and simplify the following operation 0'3 + 0' 3 + 0' 03 − 0' 30 + 0'330

4.- Express this surd in the simplest possible terms 4

3111696 . .

5.- Rationalise the denominator of this fraction 4 3− 2 6.- Rationalise the denominator of this fraction

3

2 2

7.- Calculate and write the following operation in the simplest possible terms ( 5 − 3 ) 2 ⋅ (8 + 2 15 )

8.- Express in one only index x 2

22 2 2 = 2 x

9.- Check if it is true or false −3 3

34

= −3

1

−3

10.- Perform and write the following operation in the simplest possible terms ( −2) 3 − ( −3) 2

| 2

+

SUBJECT: Mathematics

THEME: Arithmetic

Group 1st Bach

3

1.- Perform and simplify the following computation  1   2   3 5 −  −  −  ÷  2   3  4  6

2.- Simplify

180 120

3.- Perform and simplify the following operation 0'3 + 0' 3 + 0'33 − 0'333 + 0' 1

4.- Express this surd in the simplest possible terms 5

7776

5.- Rationalise the denominator of this fraction 3 3+ 2 6.- Rationalise the denominator of this fraction 3

7 5

7.- Calculate and write the following operation in the simplest possible terms 2 + 3 4 − 2 5 10 − 6 5 − 3− 2

2 3

5

8.- Express in one only index x 2 2 2 2 2 = 2x

9.- Check if it is true or false 2

(19683) 3 = 729 10.- Perform and write the following operation in the simplest possible terms

(4 + (12 − 2 3 ) + (15 − 05 ) 2 ) ÷ (14 − ( −2) 2 ) | 3

+

SUBJECT: Mathematics

THEME: Arithmetic

Group 1st Bach

4

1.- Perform and simplify the following computation 1 1  1 3    1 1    5 + 3  2 − 4   ÷ −  3 − 2       2.- Simplify

11111 220

3.- Perform and simplify the following operation 35 ' + 0' 6 − 2'14

4.- Express this surd in the simplest possible terms 7

10

5.- Rationalise the denominator of this fraction 1+ 2 1− 2 6.- Rationalise the denominator of this fraction 11 7

113

7.- Calculate and write the following operation in the simplest possible terms

5 12 + 7 48 − 108 − 192 + 243 8.- Express in one only index x 3

33 33 3 = 3 x

9.- Check if it is true or false  1    3

0 '3

=3 3

10.- Perform and write the following operation in the simplest possible terms

4( − 15 + 23 − 1) − 9 1 1 1 2 + 6( 2 − 3 ) − 1 | 4

+

SUBJECT: Mathematics

THEME: Arithmetic

Group 1st Bach

5

1.- Perform and simplify the following computation 1   1  − 2 (− 3) −  − 3 (− 4 ) 3 4  

2.- Simplify

31 29

3.- Perform and simplify the following operation 33' 3 ÷ 3 − 31323 '

4.- Express this surd in the simplest possible terms 4

1171875 . .

5.- Rationalise the denominator of this fraction 5 7 + 3 3 +1 6.- Rationalise the denominator of this fraction

5 5

44

7.- Calculate and write the following operation in the simplest possible terms 3

9 3 2 4 5 ⋅ ⋅ 4 3 3

8.- Express in one only index x 2

32 9 27 = 3 x

9.- Check if it is true or false

 − 1    27 

1

−3

= −3

10.- Perform and write the following operation in the simplest possible terms 1−8 − 2 −2 + 8 2 2 + 2 −2 | 5

+

SUBJECT: Mathematics

THEME: Arithmetic

Group 1st Bach

6

1.- Perform and simplify the following computation 2 3

0−3 2.- Simplify

36 900

3.- Perform and simplify the following operation 2'006 − 2'64

4.- Express this surd in the simplest possible terms 5

759375

5.- Rationalise the denominator of this fraction 3 5− 3 6.- Rationalise the denominator of this fraction

3 3

25

7.- Calculate and write the following operation in the simplest possible terms 83 44 32

8.- Express in one only index x 2 84 8 = 2x 3 4 2 8 2 9.- Check if it is true or false 3

25 = 625

1 3

5− 2

10.- Perform and write the following operation in the simplest possible terms

[ ( −1)

4

÷ ( 25 ) 3 ]

−2

÷ [ ( − 53 ) 2 − 5−1 ]

| 6

+

SUBJECT: Mathematics

THEME: Arithmetic

Group 1st Bach

7

1.- Perform and simplify the following computation 1 1−

1 1 − 21

2.- Simplify

161 203

3.- Perform and simplify the following operation 0' 76 ÷ 0'234

4.- Express this surd in the simplest possible terms 4

20736

5.- Rationalise the denominator of this fraction

1+ 2 5

6.- Calculate and write the following operation in the simplest possible terms 2a 3 − 27a 2 + a 12

7.- Express in one only index x 9 27 ⋅ 3−3 = 3x 3 5 3 ⋅ 81 3

3

8.- Check if it is true or false

(− 1' 3)

− 0'3

=3

3 4

9.- Perform and write the following operation in the simplest possible terms

( 13 ) 2 − (1 − 15 ) ÷ ( 23 − 2) 10.- Carry out and write the following computation in the simplest possible way − 13 ⋅ 2 −1 ( 13 + 41 ) ⋅ 12 ÷ 1 2 −2 ( 21 ) 2 − 16 − 1] 15 3 − [( 3 )

3 4

| 7

+

SUBJECT: Mathematics

THEME: Arithmetic

Group 1st Bach

8

1.- Perform and simplify the following expression

(1 + 2 ) − (2 2

2− 2

)

2

2.- Perform and simplify the following operation −

1  2  3 5  − −  − 2  3  4  6 

3.- Perform and simplify the following operation : 0' 8 ⋅ 15 ' ÷ 1' 3 4.- Express this surd in the simplest possible terms

12

3

5.- Rationalise the denominator of this fraction

4096

4

2 −1

6.- Calculate and write the following operation in the simplest possible terms 2  a   a3   3   4 2   b  b 

3

b5 a7

7.- Express in one only index x :

34 93 −2

3

(

27 −1

3 9 81

)

−1

= 3x

8.- Check if it is true or false 2 3

1

88 ⋅ 0176 ' = 23

9.- Perform and write the following operation in the simplest possible terms 10 3 ⋅ 8 −15 ⋅ 25 6 50

20

⋅ 16

−12

(Answer 2-4 5-5)

10.- Carry out and write the following computation in the simplest possible way

(7 − 21 ) ÷ ( − 133 ) − 45 (4 − 56 ) ÷ (3 + 53 ) + 43

| 8

+

U⌀ℕℤℚ∊ℝℂℙℐΩ⇐⇒⇔⇏∊∉∈∅⇾≈≔⇎⇝≡ℤ≤≥≲≳≴≵≮≯∀⇒∊≠∅⊂⟇·∊∃ A⨯Bεαβηθλµξσφφδεε ·∅U∩∪∼∿⊂⊃⊆⊇⊄⋂⋃⊅∧∨U⤳≮≠|∂∆√±∞ǀǁƟƩǃξχ∘6⊕⊗⊛⋅♫♯ ⨁⨂✘✔×

ℕ

| 9