Properties
This property states that when adding 0 the number stays the same.
Additive property
6+10
16
4 x 10
40
6 Increased by x
xy
Where x= 2 and y=6
2 x 6
12
This property states that you can change the order of two numbers when adding or multiplying and the answer stays the same.
Communitive Property
-2+10
-2 x 2
-4
6d
2x+ y
x=-1 y=3
2(-1) +3
1
This property states that you can multiply any number by 1 and the number will stay the same.
Multiplicative Property
20--5
25
-49/7
-7
7 less than Q
Q-7
2x+xy-z
x=2 y=1 z=-2
2 x 2+2 x 1 -(-2)
8
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
-17-3
-20
-12 x -1
12
Quotient of x and 6
x/6
xy + (x-y) / z
Where x=-3 y=-2 z=-3
4(-2) +(4-(-2)) / -3
-10
The answer to this question would be an example of what kind of property?
5(a+3)
Distributive property
-24+-36
-60
-11 x -3 x 2
66
Twice L
2L
z-y+xy+zy
X=3 Y=-5 z=1
1-(-5)+3(-5)+1(-5)
-14