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Identity

The product of any number and one is that number.

associative

Changing the grouping of the factors does not change the product.

Commutative

Changing the order of the factors does not change the product.

Distributive

This is done by breaking a large fact into two smaller known facts.

zero

ADDITIVE IDENTITY

commutative property of multiplication

If the order of factors changes, the product stays the same.

associative property of multiplication

When the grouping of factors changes, the products stays the same.

identity property of multiplication

The product of 1 and any number is that number.

Property of Zero

a × 0 = 0

42

Distributive Property of Multiplication

4 × 5

( 2 × 5 ) + ( 2 × 5)

A.1=A

Identity Property

A.1/A=1

Inverse Property

A.0 =0

Multiplication Property Of Zero

A-1: A.-1= -A

Multiplication Property Of -1:

Associative Property

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

(A.B).C

Commutative Property

distributive property

Multiplying a sum by a number is the same as multiplying each term by the number and then adding (or subtracting ) the products.

A.C=B.C

Property Of Equality

zero

a mathematical element that when added to another number yields the same number

property

Zero times any number is zero. In symbolic form, 0 x a = 0.