Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
6. Multiplying and Dividing Real Numbers
Continue to next subchapter

Exercise 78 Page 44

Changing the grouping of the factors does not change the product.

Associative Property of Multiplication

Practice makes perfect

To identify the Property of Real Numbers being demonstrated by the given equation, we should first identify the operation being performed. - 5*(m* 8)=(- 5* m)* 8 In this case, the terms are being multiplied. The equation shows that changing the grouping of the factors being multiplied does not change the product. This is the Associative Property of Multiplication.

Extra

Test an Arbitrary Value for m
We can test our answer by choosing an arbitrary value for m. Let's try with m=2.

- 5*(m* 8)? =(- 5* m)* 8
- 5*( 2 * 8)? =(- 5* 2)* 8
- 5*(16)? =(- 10)* 8
- 5*16? =- 10*8
- 80= - 80 ✓