Commutative and Associative Properties

Read this section and do the problems to practice using the commutative property. Complete the practice questions and check your answers.

Examples and Exercises

EXAMPLE 7.5

Use the commutative properties to rewrite the following expressions:

(a) -1+3=\ _________

(b) 4 \cdot 9= _________


EXAMPLE 7.6

Use the associative properties to rewrite the following:

(a) (3+0.6)+0.4= ________

(b) \left(-4 \cdot \frac{2}{5}\right) \cdot 15= ________


EXAMPLE 7.7

Use the Associative Property of Multiplication to simplify: 6(3 x).

 

TRY IT 7.9

Use the commutative properties to rewrite the following:
(a) -4+7= ______
(b) 6 \cdot 12= ______
 

 

TRY IT 7.10

Use the commutative properties to rewrite the following:
(a) 14+(-2)= ______
(b) 3(-5)= ______