Properties of Numbers

Name that Property-Variables

100

a + b + c = b + a + c

Commutative Property (Addition)

200

a + 0 = a

Identity Property (Addition)

300

(AB) * C = A * (BC)

Associative Property (Multiplication)

400

A + -A = 0

Inverse Property (Addition)

500

a(b+c) = ab+ac

Distributive Property

Name that Property- Numbers

100

6 * 1 = 6

Identity Property (Multiplication) 

200

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

Commutative Property (Multiplication)

300

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

Associative Property (Addition)

400

-(5-6) =-5+6 

Distributive Property

500

1/4 * 4 = 1

Inverse Property (Multiplication)

Define that Property

100

Identity Property (Addition)

A + 0 = A

200

Commutative Property (Addition)

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

300

Identity Property (Multiplication)

A * 1 = A

400

Inverse Property (Addition)

-A + A = 0

500

The Distributive Property

A(B + C) = AB + AC

Distribute

100

2(1 + 4)

2*1 + 2*4 = 2 + 8 =10

200

x(3 + 5)

3x + 5x = 8x

300

2g(h + 4p)

2gh + 8gp

400

Rewrite 8(99) using the distributive property to make the problem easier.

8(100-1) = 8(100) - 8(1) = 800 - 8

500

-b(4 - 8c + 0)

-4b + 8bc - 0 = -b + 8bc

Other

100

How many properties did we learn this section?

Five.

200

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

Commutative

300

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

Associative

400

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

Distributive Property, Identity Property (Addition)

500

We know that A * 0 = 0. If I said x * y = 0, what can we deduce about x and/or y?

That at least one of them has to be zero.