# Absolute Value Definition

This step-by-step guide reviews and explains the definition of absolute value in an easy-to-follow manner. ## Absolute value definition

The absolute value of a real number is its positive distance from $$0$$ on a number line, regardless of its sign. It is always positive.

### Understanding absolute value – Example 1

Find the absolute value of $$|-17|$$.
Solution:
According to $$17≥0$$, the absolute value of $$-17$$ is seventeen units away from $$0$$. So,$$|-17|=17$$.

### Understanding absolute value – Example 2

Find the absolute value of $$|-9|$$.
Solution:
According to $$9≥0$$, the absolute value of $$-9$$ is nine units away from $$0$$. So, $$|-9|=9$$.

## Exercises forunderstanding absolute value

### Find the absolute value of each number.

1. $$\color{blue}{\left|-156\right|}$$
2. $$\color{blue}{−|−14|=−14}$$
3. $$\color{blue}{|170|}$$
1. $$\color{blue}{156}$$
2. $$\color{blue}{−14}$$
3. $$\color{blue}{170}$$

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