Introduction to Integers

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Introduction to Integers

Addition

Modeling Addition

Number Line Model

Charged Field Model

Counter Model

Properties

Associative Property

Commutative Property

Changing the order of the addends does not change the sum of the problem.

For example; 5+4=9, and 4+5=9

Additive Identity Property

Closure Property

Additive Inverse Property

Subtraction

Procedures

Scroll down to rules.

- - = +

+ + = +

- + = -

+ - = -

Modeling Subtraction

Adding the Opposite

Missing Addends Approach

Definition of Integers and Opposites

Opposites

An opposite is a number that is the same distance away from zero on the number line as another number. The numbers are the same but have a different sign.

Examples 3 and-3, 8 and -8

Integers

An iteger is any whole number and it's opposite. That also includes 0, which is it's own opposite.

Examples 3,2,1,0,-1,-2,-3