Subtracting Integers using the Number Line
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Integer Number Line
More Lessons for Grade 6 Math
Subtracting Integers Worksheet
Math Worksheets
Videos, examples, solutions, worksheets, stories and songs to help Grade 6 students learn how to subtract integers using the number line.
In these lessons, we will learn two methods of subtracting integers using the number line.
The following diagram shows some examples of adding and subtracting using the number line. Scroll down the page for more examples and solutions on how to use the number line for adding and subtracting integers.
Integer Rules Lesson
Check out the following lesson for the integer addition, subtraction, multiplication, and division.
Integer Rules
Integer Worksheets
Practice your integer skills with the following integer worksheets:
Online & Printable Integer Worksheets
| Free Integer Games | ||
|---|---|---|
| Compare Integers | Integer Operations | Order of Operations |
| Add Integers | Subtract Integers | Integer Arithmetic |
| Multiply Integers | Divide Integers | |
Lessons on Integers
Integers and Integer Operations
Videos
Method 1:
One way of using the number line for subtracting integers is to move in the opposite direction
of adding integers.
To add a positive integer, move to the right on the number line.
To add a negative integer, move to the left on the number line.
To subtract a positive integer, move to the left on the number line.
To subtract a negative integer, move to the right on the number line.
Examples:
5 - 2 =
-5 - 2 =
-4 - -7 =
How to think about adding and subtracting integers on a number line?
Use a happy and sad model.
Positive is happy side.
Negative is sad side.
Examples:
(+3) + (+2) =
(+3) + (-2) =
(+3) - (+2) =
(+3) - (-2) =
Method 2:
To subtract an integer, we can rewrite it as adding the opposite.
For eg.
3 − 2 = 3 - (+2) = 3 + (−2)
3 − (−2) = 3 + (+2)
Then, we use the number line the same way as in adding integers.
To add a positive integer, move to the right on the number line.
To add a negative integer, move to the left on the number line.
Subtracting Integers using the number line
Example:
-7 - (-2) = -7 + (+2)
Subtracting integers using the number line (method 2)
Examples:
-6 - 8 =
7 - 12 =
-8 - -5 =
Examples:
Which direction would you move to?
Add a positive number
Subtract a positive number
Add a negative number
Subtract a negative number
How would we model these problems on the number line?
8 - 10
-6 - -1
3 - -5
Click on the following image to play the Subtract Integers Game.
| Free Integer Games | ||
|---|---|---|
| Compare Integers | Add Integers | Subtract Integers |
| Integer Arithmetic | Multiply Integers | Divide Integers |
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
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