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 Property of Multiplication

400

A + -A = 0

Inverse Property of Addition

500

A • 1 = A

Identity Property of Multiplication

Name that Property- Numbers

100

6 • 0 = 0

Zero Property of Multiplication

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

-3 and 5 are integers

-3 * 5 = an integer

Closure Property of Multiplication

500

A • (B•C) = (A•C) • B  

Commutative & Associative Property of Multiplication

Solve

100

-4 + 7 = 

3

200

28 - 34 = 

-6

300

-5(-12) = 

60

400

9(y)(0) = 

0

500

5(2 + 11) + 2(12 -2) =

45

Distribute

100

2(1 + 4)

2*1 + 2*4 = 2 + 8

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 are there for addition? 

5

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

Distributive Property, Identity Property of 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.