Adding+and+Subtracting+Integers

===Before we can add and subtract them, we need to know.... What is an Integer??? ===


 * any of the natural numbers (positive or negative) or zero; "an integer is a number that is not a fraction"
 * The integers (from the Latin integer, literally "untouched", hence "whole": the word entire comes from the same origin, but via French )
 * An element of the infinite and numerable set {...,-3,-2,-1,0,1,2,3,...}
 * a numeric value with no decimal places, used to represent whole numbers

**When a number has no sign means Positive **
 If a number has **no sign ** it usually means that it is a **positive ** number. Example: **5 ** is really **+5 **<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">

<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> __Adding Positive Numbers__
<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">Adding positive numbers is just simple addition.

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 120%; text-align: center;"> Example: 2 + 3 = 5
<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">is really saying "Positive 2 plus Positive 3 equals Positive 5" <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 144%; text-align: center;"> You could write it as **<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 120%; text-align: center;">(+2) + (+3) = (+5) **<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">

<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">__Subtracting Positive Numbers__
<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> Subtracting positive numbers is just simple subtraction.

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 120%; text-align: center;">Example: 6 - 3 = 3
<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> is really saying "Positive 6 minus Positive 3 equals Positive 3" <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 144%; text-align: center;"> You could write it as **<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 120%; text-align: center;">(+6) - (+3) = (+3) **<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 120%; text-align: center;">

==<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">But what happens if we have <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">Negative <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> numbers ... ? == <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 120%; text-align: center;"> For example, what is 6 - (-3) ?

||
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">[[image:http://www.mathsisfun.com/numbers/images/minus-minus-plus.gif width="193" height="52"]] || <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">Subtracting a Negative is the same as Adding like in the examples below

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 16px; line-height: 23px; text-align: center;">6 - (-3) = 9 5 - (-4) = 9 2 - (-3) = 5

==<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> What About <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">Positive <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> and <span style="color: #ff0000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">Negative <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> Together ... ? == <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 130%; text-align: center;"> You can also have questions like: What is 6 + (-3) ? or what is 6 - (+3) ? <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> <span style="font-family: arial,helvetica,sans-serif; font-size: 13px; line-height: 19px;">

**<span style="font-family: 'Comic Sans MS',cursive; font-size: 20px;">Now, Here Are The Rules **
<span style="font-family: 'Comic Sans MS',cursive;"> <span style="font-family: 'Comic Sans MS',cursive;"> <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">
 * <span style="background-color: #ffff00; color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">Add a positive integer by moving to the right on the number line
 * <span style="background-color: #ffff00; font-family: 'Comic Sans MS',cursive; font-size: 120%;">Add a negative integer by moving to the left on the number line
 * <span style="background-color: #ffff00; font-family: 'Comic Sans MS',cursive; font-size: 120%;">Subtract an integer by adding its opposite
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;">Remember! The negative of a negative is the opposite positive number. that is, for real numbers, -(-a) = +a or -(-2) = +2.

Sample Problems


 * 1) 2 + -4 =
 * 2) -3 - 4 =
 * 3) 10 - -6 =
 * 4) 13 + (-2) =
 * 5) 12 - -2 =
 * 6) -3 + -3 - -3 =
 * 7) 4 + 6 - -6 -2 =
 * 8) 9 + 4 - 6 - -2 =

To find the answers, please go to the Answer Key Page.

<span style="-webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; border-collapse: collapse;"> <span style="font-family: 'Comic Sans MS',cursive;"> <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> For fun with Adding and Subtracting Integers check out this fun game.
 * |||||| = M A T H - P L A Y . C O M[|Integer Game] <span style="border-collapse: separate; color: #000000; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 13px; font-weight: normal; letter-spacing: normal; line-height: 19px; white-space: normal;">   = ||