Additive Identity

Add 0 (+0)

When you add 0 to a number it equals the same as the number that you started with.

Example:        25+0=25

Multaplicative Identity

Multiply by one (*1)

When you multiply by 1 the number you started with stays the same.

Example:      1*30=30

Communtitive property of addition

Move the numbers

when you move the numbers you can make it easier to do the problem.

Example:    1+2+3+9+5+6=9+1+2+3+5+6

Commutative property of multaplication

Move the numbers

When you move the numbers you make it easier to solve the problem.

Example:    5*2*6*9*7*8=5*2*6*7*6*9

Associative property of addition

Moving the parrenthesses

When you move the parrenthesses, you change which numbers go first.

Example:     (2+3)+4=2+(3+4)

Associative property of Multiplication

Move the parrenthesses

When you move the parrenthesses, you change which numbers that go first.

Example:   2*3*4*(5*9)=(2*3)*4*5*9

Distributive property

There's a fire!!

Save the family

When you use the fireman trick you break down the problem so its easier to handle.

Example:                    5(123)

5(1)+5(2)+5(3)

5+10+15= 30

Additive inverse

Add the opposite

Add the negitive to the number, it will always be 0.

Example:                      a+3=6

a+3-3=6-3

a=3

Multaplicative inverse

multiply by it's reciprocal

when you multiply by its reciprocal every time it will equal 0.

Example:   3/1*1/3=1

The Zero property

times zero

Anything times zero equals zero

Example:                   1*0=0