# Using Number Lines to Subtract Integers

A number line is a visual representation of numbers arranged in order from smallest to largest. It is often used to help understand the addition and subtraction of integers.

**A step-by-step guide to** **using Number Lines to Subtract Integers**

To subtract integers using a number line, you have to move in the opposing direction for adding integers.

Utilize a number line to add and subtract integers:

- To add positive integers, move towards the right on a number line.
- To add negative integers, move towards the left on a number line.
- To subtract integers, add their opposites.

Here’s how to subtract integers using a number line:

- Start at the first number (the minuend) and move to the left for each unit of the second number (the subtrahend). For example, if you’re subtracting -3 from 4, start at 4 and move 3 units to the left.
- Label the endpoint of the distance you traveled with the difference. So in the example above, the difference would be labeled as 1.
- Write the difference as the solution to the subtraction problem. In this case, the solution would be 4 – (-3) = 1.

Note: When subtracting a positive number, you move to the left on the number line. When subtracting a negative number, you move to the right on the number line.

**Using Number Lines to Subtract Integers – Example 1**

Solve \((-8)-(-14)=\)? and graph on the number line.**Solution:****Step 1:** Find the first number on the number line. \(-8\)**Step 2:** Change the second number’s sign to its opposite. (Convert subtraction into addition). \(-14→14\)

**Using Number Lines to Subtract Integers – Example 2**

Solve \(7-11=\) ? and graph on the number line.**Solution:****Step 1: **Find the first number on the number line. 7**Step 2:** Change the second number’s sign to its opposite. (Convert addition into subtraction). \(11→-11\)

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