Properties of Real Numbers

Name that Property - Variables

100

a + b = b + a

Commutative Property of Addition

200

a + 0 = a

Additive Identity Property (Identity Property of Addition)

300

(AB) * C = A * (BC)

Associative Property of Multiplication

400

A + 1 = A

Identity Property of Addition

500

a(b + c) = ab + ac

Distributive Property

Define that Property

100

The Identity Property of Addition

A + 0 = A

200

Commutative Property of Addition

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

300

Associative Property of Multiplication

A * (B*C) = (A*B)*C

400

Zero Property of Multiplication

A(0) = 0

500

The Distributive Property of Multiplication over Addition

A (B + C) = AB + AC

Distribute

100

2(1 + 4)

2(1) + 2(4)

2 + 8

10

200

x(3 + 5)

3x + 5x

300

5(2 + 3 + 4)

5(2) + 5(3) + 5(4)

10 + 15 + 20

45

400

-5(4 - 2)

-5(4) - (-5)(2)

-20 + 10

-10

500

Using Distributive Property over Subtraction to rewrite 8(99)

8(99) = 8(100 - 1)

8(100) - 8(1)

800 - 8

792

Name that Property - Numbers

100

6 * 1 = 6

Multiplicative Identity Property (Identity Property of Multiplication)

200

7 * 9 * 20 = 20 * 9 * 7

Commutative Property of Multiplication

300

6 + (8 + 4) = (6 + 8) + 4

Associative Property of Addition

400

2952 + 0 = 2952

Identity Property of Addition (Additive Identity Property)

500

4(1 + 5) = 4(1) + 4(5)

Distributive Property

Other

100

-1(-6)

6

200

What type of property deals with the order of numbers or variables?

Commutative

300

What type of property deals with how numbers and variables are grouped?

Associative

400

-5 + 6

1

500

3 + 2 = 2 + x

x = 3