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Name: ______________________________ Block: _______ The Commutative and Associative Properties Homework Commutative Property of Addition Commutative Property of Multiplication Associative Property of Addition Associative Property of Multiplication Part I: Complete the equations below. Then, identify the property you used. A. 6 + 3 = 3 + ____ _______________________________________ B. 4 • (7 • 5) = (______) • 5 _______________________________________ C. 4 • ____ = 2 • 4 _______________________________________ D. (2 + 4) + 7 = 2 + (______) _______________________________________ 3 • (6 • 4) = (______) • 4 _______________________________________ F. (3 + 4) + 8 = 3 + (______) _______________________________________ G. -7 + 3 = 3 + ____ _______________________________________ H. 3 • ____ = 5 • 3 _______________________________________ E. Part II: Determine if each statement below is true or false. If it is false, correct the statement. 1) The Commutative Property says that numbers being multiplied and divided can be reordered. 2) The Commutative Property of Multiplication states that numbers being multiplied can be regrouped without affecting the product. 3) 25 – 14 = 14 – 25. Name: ______________________________ Block: _______ Part III: Consider the expressions below. Circle any examples of the Commutative Property. Put a star by any examples of the Associative Property. Put an “x” through any examples that are neither commutative nor associative. Hint: Keep in mind that it is possible for a set of expressions to model two different properties. A) 6+8 8+6 B) (2 • -3) • 4 2 •(-3 • 4) C) 5 + (3 + 2) + -1 5 + 3 + (2 + -1) D) 5-4+2 4-5+2 E) (9 • 3) + 5 (3 • 9) + 5 F) (7 ÷ 4) • 9 (4 ÷ 7) • 9 G) 3 + -5 • 4 3 + 4 • -5 H) (3 • 4) • (2 • 6) (4 • 2) • (6 • 3) I) (7 + 2) + 9 (2 + 7) + 9 J) 7-8-3 8-7–3 K) (10 + -32) • 16 10 + (-32 • 16) L) 8 + (6 + 4) + 2 8 + 2 + (4 + 6)