# Using Number Lines to Represent Absolute Value of Integers

A number line can be used to represent the absolute value of integers. The absolute value of an integer is its distance from zero on a number line.

**A step-by-step guide to** represent Absolute Value of Integers on the number line

Here’s a step-by-step guide to representing the absolute value of integers on a number line:

- Draw a number line with 0 in the center, and positive numbers to the right and negative numbers to the left.
- Choose an integer you want to find the absolute value of.
- Drop a vertical line down from the integer to the number line.
- Find the distance between the integer and zero on the number line.
- Label the absolute value of the integer as the distance you just found, making sure to place the label on the positive side of the number line.
- Repeat the process for additional integers, as needed.

Example: To find the absolute value of -3 on a number line, drop a vertical line down from -3 to the number line. Then, measure the distance between -3 and zero on the number line. The result is 3, which is the absolute value of -3. Label 3 on the positive side of the number line.

**Using Number Lines to Present Absolute Value of Integers – Examples 1**

Find the absolute value of \(|6|\) and graph on the number line.**Solution:**

According to \(6≥0\), the absolute value of a positive number is the distance to the right side from 0. So, \(|6|=6\).

**Using Number Lines to Present Absolute Value of Integers – Examples 2**

Find the absolute value of \(|-13|\) and graph on the number line.

Solution:

According to \(-13≤0\), the absolute value of a positive number is the distance to the right side from 0. So, \(|-13|=13\).

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