Section 1.7 Properties of Real Numbers and Simplifying Expressions 77 Applying the Associative Property Example 4 Use the associative property of addition or multiplication to rewrite each expression.Then simplify the expression if possible. a. b. c. Solution: a. Apply the associative property of addition. Simplify. 1y 52 6 y 15 62 y 11 b. 4(5z) Apply the associative property of multiplication. Simplify. c. Apply the associative property of multiplication. Simplify. 14 52z c 1w Note: In most cases, a detailed application of the associative property will not be shown. Instead, the process will be written in one step, such as 1y 52 6 y 11, 415z2 20z, and Skill Practice Use the associative property of addition or multiplication to rewrite each expression. Simplify if possible. 7. 8. 9. 4 5 1x 42 3 214x2 tb 3. Identity and Inverse Properties of Real Numbers The number 0 has a special role under the operation of addition. Zero added to any real number does not change the number.Therefore, the number 0 is said to be the additive identity (also called the identity element of addition). For example: 4 0 4 0 5.7 5.7 0 3 4 3 4 5 4 a 3 2 a 2 3 wb w w 3 2 a 2 3 b dw 3 2 a 2 3 wb 20z 3 2 a 2 3 1y 52 6 415z2 wb Answers 7. 8. 9. a x 14 32; x 7 12 42x ; 8x 5 4 4 5 bt ; t Associative Properties of Real Numbers If a, b, and c represent real numbers, then 1. 1a b2 c a 1b c2 associative property of addition 2. 1ab2c a1bc2 associative property of multiplication
miller_beginning_intermediate_algebra_4e_ch1_3
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