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Notes 1.8 – Properties. Commutative Properties of Addition and Multiplication The order in which numbers are added does not change the _______. _______ = 6 + 7 For any numbers a and b : a + b = _______. SUM. Commutative Properties of Addition and Multiplication
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Commutative Properties of Addition and Multiplication The order in which numbers are added does not change the _______. _______ = 6 + 7 For any numbers a and b: a + b = _______ SUM
Commutative Properties of Addition and Multiplication The order in which numbers are _____________ does not change the product. 4 * 3 = ______ For any numbers a and b: a * b = ______ MULTIPLIED
ADDENDS Associative Properties of Addition and Multiplication The way in which _____________ are grouped does not change the sum. (1 + 6) +____ = 1 + ( 6 + 8) For any numbers a, band c: (a + b) + c = ____ + ( b + c)
Associative Properties of Addition and Multiplication The way in which factors are grouped does not change the ______________. (5 * 4) *7 = 5 * (____ *____) For any numbers a, band c: (a*___) * c = ____ * ( b* ___) PRODUCT
Distributive Property Multiplication over Addition The product of a sum is equal to the _______ of the products. 2 ( __ + 5) = 2(3) + 2(5) For any numbers a, b, and c a (b + c) = ab + a__ SUM
Distributive Property Multiplication over Subtraction The product of a difference is equal to the _______________ of the products. 5(3 – 2) = __(3) – 5(2) For any numbers a, b, and c a (b - c) = ab – a__ DIFFERENCE
Homework : Section1.8 pages 60-63 #’s 5, 7, 9, 11, 13, 16-21