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### 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) =

**Subtracting Integers using Number Line (Method 1)**

Example:

1. 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

### Method 2:

To subtract an integer, we can rewrite it as adding the opposite.

For eg.

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 =

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Grade 6 Math

Math Worksheets

Videos, examples, solutions, worksheets, stories and songs to help Grade 6 students learn how to subtract integers using the number line.

In this lesson, we will learn two methods of subtracting integers using the number line.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 =

Use a happy and sad model.

Positive is happy side.

Negative is sad side.

Examples:

(+3) + (+2) =

(+3) + (-2) =

(+3) - (+2) =

(+3) - (-2) =

Example:

1. 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

For eg.

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.

Example:

-7 - (-2) = -7 + (+2)

Examples:

-6 - 8 =

7 - 12 =

-8 - -5 =

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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