Properties of Numbers

Name that Property-Variables

100

a + b + c = b + a + c

Commutative Property of Addition

200

a + 0 = a

Identity Property of Addition

300

(AB) * C = A * (BC)

Associative of Multiplication

400

A + -A = 0

Inverse Property of Addition

500

If given 6t = 9 + qwy, then we know that 9 + qwy = 6t is also true.

Symmetry Property

Name that Property- Numbers

100

6 * 0 = 0

Multiplication Property of Zero

200

7 * 9 * 20 * h = 20 * 9 * h * 7

Commutative Property of Multiplication

300

6 + (8 + y) = (6 + 8) + y

Associative Property of Addition

400

-291 = -291

Reflexive Property

500

1/4 of 4 = 1

Inverse Property of Multiplication

Define that Property

100

The Identity Property of Addition

A + 0 = A

200

The Commutative Property of Addition

A + (B + C) = (A + B) + C

300

The Transitive Property

x=5 and x=y therefore y=5

400

The Inverse Property of Addition

-A + A = 0

500

The Distributive Property

A(B + C) = AB + AC

Other

100

2(1 + 4)

2*1 + 2*4 = 2 + 8

200

x(3 + 5)

3x + 5x = 8x

300

2g(h + 4p)

2gh + 8gp

400

What type of property deals with how numbers or variables are GROUPED?

Associative

500

Provide the justification for the following steps: 6(8x + 4 + 0) = 48x + 24 + 0 = 48x + 24

Distributive Property, Identity Property of Addition