MODULE ONE POST ASSESSMENT REVIEW
PROPERTIES OF NUMBERS • ASSOCIATIVE PROPERTY: FOR ADDITION, THE RULE IS A + (B + C) = (A + B) + C IN NUMBERS, THIS MEANS 2 + (3 + 4) = (2 + 3) + 4. FOR MULTIPLICATION, THE RULE IS A(BC) = (AB)C IN NUMBERS, THIS MEANS 4(3*5) = (4*3)5 SEE HOW THE ORDER DOES NOT CHANGE? JUST THE PARENTHESES.
PROPERTIES OF NUMBERS • COMMUTATIVE PROPERTY: FOR ADDITION, THE RULE IS A + B = B + A IN NUMBERS, THIS MEANS 2 + 3 = 3 + 2. FOR MULTIPLICATION, THE RULE IS AB = BA IN NUMBERS, THIS MEANS 2 * 3 = 3 * 2. SEE HOW THE ORDER OF THE NUMBERS CHANGE?
COMMON MISTAKE! • THERE ARE PARANTHESES HERE: (16.2)(22)(5) = (22)(5)(16.2) • UH OH! THE ORDER OF THE PARANTHESES DOESN’T CHANGE! JUST THE ORDER OF THE NUMBERS!
• THAT IS …. • COMMUTATIVE PROPERTY
• IN THIS EXAMPLE, THE PARANTHESES REPRESENT MULTIPLICATION, NOT GROUPING OF THE NUMBERS!
COMMON MISTAKE! • WHAT PROPERTY IS DEMONSTRATED HERE? (68 + –18) + 15 = 68 + (–18 + 15) THE ORDER OF THE NUMBERS DID NOT CHANGE, BUT THE PARENTHESES DID! SO THAT IS… ASSOCIATIVE PROPERTY
EXPRESSIONS VS EQUATIONS • EXPRESSIONS DO NOT HAVE AN EQUAL SIGN • EQUATIONS DO HAVE AN EQUAL SIGN THIS IS AN EQUATION THIS IS AN EXPRESSION
That’s the difference!
DISTRIBUTIVE PROPERTY • EXAMPLE: A(B + C) = AB + AC • IN NUMBERS, THIS MEANS: =
• ALWAYS MAKE SURE TO DISTRIBUTE THE NUMBER IN FRONT OF THE PARENTHESES TO BOTH NUMBERS!
COMMON MISTAKES • USE THE DISTRIBUTIVE PROPERTY TO SIMPLIFY: LOTS OF NEGATIVES HERE! BE CAREFUL!
ORDER OF OPERATIONS • P = PARENTHESES • E = EXPONENTS • M = MULTIPLICATION • D = DIVISION • A = ADDITION • S = SUBTRACTION
COMMON MISTAKES! • LET’S LOOK AT A PROBLEM LIKE THIS…
I LIKE TO DO THE NUMERATOR FIRST, THEN THE DENOMINATOR…THEN DIVIDE THE TWO. LIKE THIS…
GOOD LUCK ON THE POST ASSESSMENT! HOPE THIS HAS HELPED!