Properties
Adding and Subtracting Integers
Multiplying and Dividing Integers
Algebraic Expressions
Evaluating Expressions
100

This property states that when adding 0 the number stays the same.

Additive property

100

6+10

16

100

4 x 10

40

100

6 Increased by x

6+x
100

xy

Where x= 2 and y=6

2 x 6

12

200

This property states that you can change the order of two numbers when adding or multiplying and the answer stays the same. 

Communitive Property

200

-2+10

8
200

-2 x 2

-4

200
Product of d and 6

6d

200

2x+ y

x=-1 y=3

2(-1) +3

1

300

This property states that you can multiply any number by 1 and the number will stay the same.

Multiplicative Property

300

20--5

25

300

-49/7

-7

300

7 less than Q

Q-7

300

2x+xy-z

x=2 y=1 z=-2

2 x 2+2 x 1 -(-2)

8

400

This property states that you can group any numbers together no matter how many numbers there are as long as the problem only has addition or multiplication.

Associative Property

400

-17-3

-20

400

-12 x -1

12

400

Quotient of x and 6 

x/6

400

xy + (x-y) / z

Where x=-3 y=-2 z=-3

4(-2) +(4-(-2)) / -3

-10

500

The answer to this question would be an example of what kind of property?

5(a+3)

Distributive property

500

-24+-36

-60

500

-11 x -3 x 2

66

500

Twice L

2L

500

z-y+xy+zy

X=3 Y=-5 z=1

1-(-5)+3(-5)+1(-5)

-14