Number Properties

Which property is illustrated by the equation (a + x) + y = a + (x + y)?

• associative

• commutative

• distributive

• identity

Which property is illustrated by the equation 5x ⋄ 0 = 0?

• commutative property of multiplication

• multiplicative property of zero

• multiplicative inverse property

• multiplicative identity property

Which property is represented by the statement ½ (6a + 4b) = ½ (4b + 6a)?

• commutative

• distributive

• associative

• identity

Which property of real numbers is illustrated by the equation -√3 + √3 = 0 ?

• additive identity

• commutative property of addition

• associative property of addition

• additive inverse

A part of Jennifer's work to solve the equation 2(6x² - 3) = 11x² - x is shown below.

Given 2(6x² - 3) = 11x² - x

Step 1: 12x² - 6 = 11x² - x

Which property justifies her first step?

• identity property of multiplication

• multiplication property of equality

• commutative property of multiplcation

• distributive property of multiplication over subtraction

The equation ½ · 2 = 1 is an example of the

• additive inverse property

• commutative property of multiplication

• multiplicative inverse property

• associative property of multiplication

Tori computes the value of 8 x 95 in her head by thinking 8(100 - 5) = 8 x 100 - 8 x 5. Which number property is she using?

• associative

• distributive

• commutative

• closure

Which property is illustrated by the equation 3/2 x + 0 = 3/2 x ?

• commutative property of addition

• distributive property

• additive inverse property

• additive identity property

If M and A represent integers,

M + A = A +M

is an example of which property?

• commutative

• associative

• distributive

• closure