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Pearson Algebra 1 Common Core, 2011 View details

Chapter Review

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Exercise 48 Page 70

Multiplication is associative.

Result: - 96
Justification: See solution.

Practice makes perfect

We are asked to simplify given expression. 6/5* (- 10 * 8) First, recall that multiplication is associative. This means that we can group the factors however we like — it will not change the product.

Operation	Before Simplification	After Simplification
Associative Property of Multiplication	6/5* (- 10 * 8)	(6/5* (- 10) )* 8
a/c* b = a* b/c	( 6/5* (- 10) )* 8	( 6(- 10)/5 )* 8
a(- b)=- a * b	(6(- 10)/5 )* 8	(- 60/5 )* 8
Calculate quotient	( - 60/5 )* 8	( - 12 )* 8
Multiply	( - 12 )* 8	- 96