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3 Tutorials that teach Properties of Addition and Multiplication
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Properties of Addition and Multiplication

Properties of Addition and Multiplication

Author: Anthony Varela
Description:

This lesson provides an overview of the properties of addition and multiplication.

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Tutorial
Terms to Know
Associative Property

A property of addition that allows terms to be grouped in any order; a property of multiplication that allows factors to be grouped in any order.

Commutative Property

A property of addition that allows terms to be added in any order; a property of multiplication that allows factors to be multiplied in any order.

Distributive Property

A property of multiplication that states that a sum multiplied by a factor can be expressed as a sum of the products of each original addend and that factor. 

Formulas to Know
Associative Property of Addition

open parentheses a plus b close parentheses plus c equals a plus open parentheses b plus c close parentheses

Associative Property of Multiplication

open parentheses a b close parentheses c equals a open parentheses b c close parentheses

Commutative Property of Addition

a plus b equals b plus a

Commutative Property of Multiplication

a b equals b a

Distributive Property

a open parentheses b plus c close parentheses equals a b plus a c

Identity Property of Addition

a plus 0 equals a

Identity Property of Multiplication

a times 1 equals a

Inverse Property of Addition

a plus left parenthesis negative a right parenthesis equals 0

Inverse Property of Multiplication

a cross times 1 over a equals 1