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Reference

Adding and Subtracting Integers

Method

Adding and Subtracting a Positive Integer

To add a positive integer to an integer move units to the right-hand side of on a number line. Consider and
The process of adding and will be illustrated using these values.
1
Plot on a Number Line
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Begin by graphing on a number line. In this case, the value of Move units to the right side of to plot
Graphing 3 on a number line.
2
Move Units to the Right-Hand Side of
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Starting from move units to the right to add units to For this example, move seven units to the right of to add to
Moving 7 units to the right-hand side of 3.
The point is now at This means that the sum of and is
Subtracting a positive integer from is similar. In this case, move units to the left-hand side of on a number line. Consider the subtraction of from using the same example values.
This process can be performed on the number line.
Moving seven units to the left-hand side of 3 to subtract 7 from 3.
Now the point is at The result of subtracting from is
This process applies to adding or subtracting any positive integer from a positive or negative integer The result can be a negative integer, a positive integer, or
Method

Adding and Subtracting a Negative Integer

Adding a negative integer to an integer requires changing the addition sign to a subtraction sign and changing to its additive inverse, To illustrate this, consider and
Next, this process is shown with these pair of integers.
1
Change the Addition Sign to a Subtraction Sign and Change to
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Change the addition sign to a subtraction sign and then change to its opposite In this example, and its opposite is
The addition of an integer and a negative integer is now turned into a subtraction of an integer and a positive integer.
2
Plot on a Number Line
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The process now is similar to subtracting one positive integer from another. First, plot on a number line. The value of in this case, is
Graphing 4 on a number line.
3
Move Units to the Left-Hand Side of
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Now move units to the left-hand side of to subtract from In this example, move units to the left of to subtract from
Moving five units to the left-hand side of 4 to subtract 5 from 4.
The point is now at This means that the subtraction of from is This is also the result of adding to
Subtracting a negative integer from an integer requires changing the subtraction sign to an addition sign and changing to its additive inverse. To illustrate this, consider and
The result is the sum of an integer and a positive integer.
Sum of 4 and 5.
The point is now at The result of subtracting from is
This process applies to adding or subtracting any netative integer from a positive or negative integer The result can be a negative integer, a positive integer, or
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