Section 7.2: Simplifying Expressions with the Commutative and Associative Properties

Use the commutative and/or associative properties to simplify −36⋅11⋅4/9.

-176

Evaluate the expression when b=4/5: b+0.92+(−b)

0.92

Simplify: 3/8⋅1/5⋅8/3.

1/5

Evaluate the expression when m=11: 4/7(7/4m)

11

Simplify expressions involving fractions or decimals using the commutative and associative properties Simplify: (4/7+1/4)+3/4.

11/7

Evaluate the expression when g=21: 3/4(4/3g) Provide your answer below:

21

Use the commutative and/or associative properties to simplify 5/6a+3/10a+1/6a+7/10a.

2a

Use the associative properties to rewrite (5⋅4/3)⋅9=−−.

5⋅(4/3⋅9)=−− Change the grouping. (5⋅4/3)⋅9=5⋅(4/3⋅9) Notice that 4/3⋅9 is 12. The multiplication will be easier if we group as shown on the right.

Simplify: (3/4+2/3)+1/3.

7/4

Use the commutative properties to rewrite 7+8=−−.

8+7 7+8=−− Use the Commutative Property of Addition to change the order. 7+8=8+7

Simplify: (3/5+1/8)+7/8.

8/5

Use the commutative and/or associative properties to simplify 12(4/6p).

8p

Evaluate the expression when n=9: 2/5(5/2n)

9

Use the associative property to simplify (n+17)+33.

n+50