Understanding Commutative and Associative Properties in Mathematics
Learn about the Commutative and Associative Properties in mathematics. Explore how order and grouping affect addition and multiplication operations, and practice simplifying expressions using these properties.
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Lesson 1.7 The Commutative and Associative Property Write this TITLE down on your notes!!! Lesson 1.7 Lesson 1.7 The Commutative and Associative Property The Commutative and Associative Property
Objective - To simplify expressions using Now make sure you copy everything below! Now make sure you copy everything below! commutative commutative and associative associative properties. Commutative - Order doesn t matter! You can flip-flop numbers around an operation. Commutative Property of Addition a + + b = = b + + a 5 + + 7 = = 7 + + 5 10 + + 3 = = 3 + + 10 Commutative Property of Multiplication a b b a = = 8 4 4 8 = = 3 12 12 3 = = The numbers numbers change places, but the answer is still the same.
Associative - Re-grouping is ok! You can re-group numbers together. Now make sure you copy everything below! Associative Property of Addition (a + b) + c = a + (b + c) The parenthesis change places, but the answer is still the same. (4 + 2) + 9 = 4 + (2 + 9) Associative Property of Multiplication (a b) c = = (3 5) 7 = = a (b c) 3 (5 7)
Commutative vs. Associative Commutative property of addition Commutative property of multiplication Associative property of addition Associative property of multiplication Choices Identify each property shown below. 1) 7 + 4 = 4 + 7 Comm. Prop. Of Add. 6 (2 8) = = (6 2) 8 Assoc. Prop. Of Mult. 2) 5 9 = = Comm. Prop. Of Mult. 3) 9 5
Commutative vs. Associative Commutative (2 + 7) + 8 = (7 + 2) + 8 Associative (2 + 7) + 8 = 2 + (7 + 8) Flip-flop Re-group (2 + 7) + 8 = 8 + (2 + 7) Flip-flop Don t just think it is associative just because you see parenthesis.
Commutative vs. Associative Commutative property of addition Commutative property of multiplication Associative property of addition Associative property of multiplication Choices Identify each property shown below. 1) (6 + 3) + 1 = (3 + 6) + 1 Comm. Prop. Of Add. 10 (8 3) = = (10 8) 3 Assoc. Prop. Of Mult. 2) (7 2) 4 = = 4 (7 2) 3) Comm. Prop. Of Mult.
Classwork Take out a NEW sheet of paper to start your homework. Use proper math guidelines! Name Name Period # Period # Date Date P. 34 (#1-20, skip 13,14) 1) 1) 1) 1) Remember to write the original problem, then write your answer
