QUICK LINKS


Introduction

QUICK LINKS


Introduction

INTRO
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Absolute value ignores a number’s direction (+/-) from 0 and just tells us how far the number is from 0.
It's kind of like how a video game character's overall power ignores the type of impact (❀️/πŸ—‘οΈ) and is just focused on how much impact they have relative to 0.
Attackers have a negative effect on health, and healers have a positive effect on health.

Attacking πŸ—‘οΈ

Healing ❀️

But when we compare overall power, we just look at how much they change health by. Click/tap on some of the characters below to see how powerful they are!

POWER

Is Absolute Value Always Positive?

Since , and zero is neither negative or positive, the absolute value of any number is always either positive or zero.
Check out our
Calculator
or explore our
Lesson
and
Practice
sections to learn more about absolute value and test your understanding.

You can also use the Quick Links menu on the left to jump to a section of your choice.

You can also use the Quick Links dropdown above to jump to a section of your choice.

CALCULATOR
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Absolute Value Calculator

Calculate the absolute value of:

Step 1. Evaluate the expression inside the bars.

Since there's only one number, we just move on to Step 2.

Step 2. Drop the negative sign.

Absolute value is like the overall power of a number. It ignores the direction from 0 and just tells us how far it is from 0.
So, our answer is .
KEY STEPS
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How to Calculate Absolute Value

Step 1. Evaluate the expression inside the bars.

If there's only one number, move on to Step 2.

Step 2. Drop the negative sign.

Absolute value is like the overall power of a number. It ignores the direction from 0 and just tells us how far it is from 0.
LESSON
β€” Absolute Value

Absolute Value

Just like how a character’s overall power ignores the type of impact (❀️/πŸ—‘οΈ) and just describes how much impact they have relative to 0, absolute value ignores a number’s direction (+/-) from 0 and just tells us how far it is from 0.

We represent the absolute value of a number or expression by surrounding it with two vertical lines.
ExpressionMeaning
The absolute value of 5 is 5.
The absolute value of -5 is 5.
The negative of the absolute value of 5 is -5.
The negative of the absolute value of -5 is -5.
Let’s walk through some absolute value example problems!

EXAMPLE 1

Let's start by finding the absolute value of:

Step 1. Evaluate the expression inside the bars.

Since there's only one number, we just move on to Step 2.

Step 2. Drop the negative sign.

Absolute value is like the overall power of a number. It ignores the direction from 0 and just tells us how far it is from 0.
So, our answer is .

EXAMPLE 2

Nice work! Now, let's find the absolute value of:

Step 1. Evaluate the expression inside the bars.

Since there's only one number, we just move on to Step 2.

Step 2. Drop the negative sign.

Absolute value is like the overall power of a number. It ignores the direction from 0 and just tells us how far it is from 0.
So, our answer is .

EXAMPLE 3

Amazing! Last problem - let's find the absolute value of:

Step 1. Evaluate the expression inside the bars.

Since there's only one number, we just move on to Step 2.

Step 2. Drop the negative sign.

Absolute value is like the overall power of a number. It ignores the direction from 0 and just tells us how far it is from 0.
So, our answer is .
Awesome! If you’d like to practice additional problems with absolute value, expand the
Practice
below before closing out this lesson! ⚑
PRACTICE
β€” Absolute Value

Practice: Calculating Absolute Value

Question 1 of 11:

Step 1. Evaluate the expression inside the bars.

Since there's only one number between the bars, we just move on to Step 2.

Step 2. Drop the negative sign.

Remember, absolute value is like the overall power of a number. It ignores the direction from 0 and just tells us how far it is from 0.
Great work! Our answer is .

CONCLUSION
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Incredible job, look at you go! Thanks for checking out this lesson β˜ΊοΈπŸ™. Where to next?
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