Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.4 - Basic Rules of Algebra - Exercise Set - Page 54: 83

Answer

Associative properties: For any three real numbers a,b, and c, $ a+(b+c)=(a+b)+c,\qquad$(addition is associative) $ a(bc)=(ab)c,\qquad$ (multiplication is associative) (please see step-by-step for examples)

Work Step by Step

Associative properties: For any three real numbers a,b, and c, $ a+(b+c)=(a+b)+c,\qquad$(addition is associative) $ a(bc)=(ab)c,\qquad$ (multiplication is associative) In words, different groupings do not affect the result of addition (or multiplication). Examples: $(2+5)+8=7+8=15$ $2+(5+8)=2+13=15$ so, $(2+5)+8=2+(5+8)$ $2(5\cdot 8)=2\cdot 40=80$ $(2\cdot 5)\cdot 8=10\cdot 8=80$ so, $2(5\cdot 8)=(2\cdot 5)\cdot 8$
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