Commutative and Associative Properties

Simplify 5 · P · 2.

10P

Which expression is not equivalent to a · c · 5 · 5?

10ac

Simplify (4x) · mn · 15 · 2.

120mnx

Simplify jk · 6 · 3.

18jk

Which of the following statements uses the commutative property of addition?

2 + (3 + 4) = 2 + (4 + 3)

Simplify (5a)(5b).

25ab

Which expression is not equivalent to 3 · S · R?

3 + S + R

Simplify (12ab)(3t).

36abt

Simplify 7 · 6 · 2h · d.

84dh

Which expression is not equivalent to 8 · x · 2 · y?

8x + 2y

associative property

a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value

commutative property

a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value

Simplify 9 + 7 + n.

n + 16

Simplify 7.5 + n + 9.63.

n + 17.13

Simplify 5 + n + (15 - 2).

n + 18

Simplify 7.95 - 3.86 + n.

n + 4.09

Simplify 20 + (2 + r).

r + 22

Simplify x + 15 - 4.

x + 11

Simplify x + 6.2 + 8.5.

x + 14.7