Additive Inverse and Identity, Multiplicative Inverse, Identity, and property of zero Commutative Associative Distributive Properties

Additive Identity

-3 + 0 = -3

Multiplicative Identity

-6 x 1 = -6

Multiplicative Property of Zero

-6(0) = 0

Additive Inverse

-a + a = 0

Additive Inverse

0 = -4 + 4

Multiplicative Identity

4(1) = 4

Additive Inverse

7 + (-7) = 0

Additive Identity

8 + 0 = 8

11+R=11

Additive Identity

3+0=3

Additive Identity

6(0+2)=6(2)

Additive Identity

-14+14=0

Additive Inverse

9(-2+2)=9(0)

Additive Inverse

d+-d=0

Additive Inverse

(a+b)+c=a+(b+c)

Associative of Addition

2+(7+8)=(2+7)+8

Associative of Addition

6+(0+7)=(6+0)+7

Associative of Addition

(7∙5)6=7(5∙6)

Associative of Multiplication

(de)f=d(ef)

Associative of Multiplication

2∙(7∙8)=(2∙7)∙8

Associative of Multiplication

-12+20+13=-12+13+20

Commutative of Addition

12+(6∙8)=(6∙8)+12

Commutative of Addition

6+8=8+6

Commutative of Addition

9(a+b)=9(b+a)

Commutative of Addition

3+(5∙2)=3+(2∙5)

Commutative of Multiplication

d(ef)=d(fe)

Commutative of Multiplication

2(6-2) = 12-4

Distributive Property

6(8+7)=6∙8+6∙7

Distributive Property

(-9∙1) +7=(-9+7)

Multiplicative Identity

5∙y=5

Multiplicative Identity

9(1)=9

Multiplicative Identity

48∙f=0

Multiplicative Property of Zero

8(0)=0

Multiplicative Property of Zero

y∙9=0

Multiplicative Property of Zero

Multiplicative Inverse

The product of a number and it's multiplicative inverse is always one.

Multiplicative Identity

The product of any number and 1 equals the given number

Multiplicative Property of Zero

The product of any number and zero is zero

Additive Inverse

The some of a number and it's additive inverse is always 0.

Additive Identity

The sum of any number and 0 equals the given number.

Additive Identity

a + 0 = a

Multiplicative Property of Zero

ab x 0 = 0

Multiplicative Identity

b(1) = b