(2)Additive Inverse Property (3)Multiplicative Property of Zero (4)Multiplicative Identity Property (5)Distributive Property (6)Additive Identity Property (7)Multiplicative Inverse Property (8)Commutative Property of Addition (9)Commutative Property of Multiplication (10)Associative Property of Addition (11)Associative Property of Multiplication

1

The sum of a number and its additive inverse always equals zero.

6+(-6)=0

a+(-a)=0

If I add opposites I always get zero!!

2

The Multiplicative Property of Zero states that the product of any real number and zero is zero.

9(0)=0 0=c(0)

Also called the Zero Property

Any number multiplied by zero equals zero!

X O=O 3

1x9=9 X*1=X

Any number multiplied by one is that number 4

The Distributive Property states that product of a number and sum(or difference)of two other number equals the sum (or difference) of the product of the number and each other number.

5(6+4)=5x6+5x4

5

The Additive Identity Property states that the sum of any real number and zero is equal to the given real number.

10 + 0 = 10 -100 + 0 = -100

6

3*1=1 1 3

1*6=1 6 1

When you multiply a number and itâ€™s reciprocal, the answer is always going to be one.

The Multiplicative Inverse Property states that the product of a number and itâ€™s multiplicative inverse (or reciprocal) always equals one.

7

The Commutative Property of Addition states that changing the order of the addends does not change the sum The answer to an addition problem will always be the same no matter how the numbers are in order.

3+4+5 = 3+5+4 X + Y+Z = X + Z+Y

8

The Commutative Property of Multiplication states that change the order of the factors doesnâ€™t change the product.

3*4=4*3

The order of the numbers do not matter in a multiplication problem.

a*b=b*a

9

The Associative Property of Addition states that regrouping the addends does not change the sum.

(1+2)+3 = 1+(2+3)

It doesnâ€™t matter how you regroup the numbers in the parenthesis, the answer to an addition problem will stay the same.

(p+q)+r = p+(q+r) 10

The Associative Property of Multiplication states that regrouping the factors does not change the product.

(ab)c=a(bc)

(200x300)x500=200x(300x500)

11

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