Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 1 - Foundations for Algebra - 1-4 Properties of Real Numbers - Got It? - Page 25: 3


a) $9.45x$ b) $9+4h$ c) $\frac{2}{3n}$

Work Step by Step

a) Use the Associative Property of Multiplication: $2.1(4.5x)=(2.1\times4.5)x=9.45x$ b) Use the Commutative Property of Addition: $6+(4h+3)=6+(3+4h)$, then use the Associative property of Addition: $6+(3+4h)=(6+3)+4h=9+4h$ c) Rewrite the equation like this: $\frac{8\times m}{12\times m\times n}$, cancel out the m's: $\frac{8\times m}{12\times m\times n}=\frac{8}{12\times n}$ Rewrite the equation: $\frac{8}{12\times n}=\frac{4\times 2}{4\times3n}$, cancel out the 4s and you will be left with: $\frac{2}{3n}$
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