Main content

## Arithmetic (all content)

### Course: Arithmetic (all content) > Unit 4

Lesson 3: Absolute value- Absolute value examples
- Intro to absolute value
- Finding absolute values
- Identify and order absolute values
- Comparing absolute values
- Placing absolute values on the number line
- Compare and order absolute values
- Absolute value as distance between numbers
- Absolute value to find distance
- Absolute value word problems
- Absolute value review

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# Absolute value review

Review absolute value, and try some practice problems.

## What is absolute value?

The absolute value of a number is its distance from 0.

**Example: positive number**

The absolute value of 4 is start color #11accd, 4, end color #11accd:

**Example: negative number**

The absolute value of minus, 4 is also start color #11accd, 4, end color #11accd:

4 and minus, 4 are the same distance from 0, so they have the same absolute value of start color #11accd, 4, end color #11accd.

*Want to learn more about absolute value? Check out this video.*

## The absolute value symbol

The symbol for absolute value is a bar vertical bar on each side of the number.

**Example:**

"The absolute value of minus, 3, point, 2" can be written vertical bar, minus, 3, point, 2, vertical bar.

## Practice

*Want to try more problems like this? Check out these exercises:*Finding absolute value

Comparing absolute values

## Want to join the conversation?

- Is it possible for a decimal number to have absolute value?(116 votes)
- Of course! There cna be an absolute value for any number(5 votes)

- How is the last question on the review not equal?(38 votes)
- Absolute values are never negative. So the absolute value of 9 can never be equal to negative 9.

If you look just below the "check" button, you'll see the word "explain". If you click on that, you'll see a more detailed explanation.(80 votes)

- What are absolute values in the real world😎😎😎(20 votes)
- One of the videos talked about how a table leg should be 150 milliliters wide with and absolute deviation of say 2.5. Then, you would use absolute value(3 votes)

- Is there such thing as a "negative zero?"(14 votes)
- No, zero is a neutral number so it can't be positive or negative.(6 votes)

- Is absolute value the opposite of a number. What I mean by this is that if a number was positive, it would be a negative? I am very puzzled by this.(7 votes)
- No. Absolute value is
*always*positive. Since it's the distance a number is from 0, it would always be positive. So, the absolute value of positive 5, would be positive 5. You can apply this to physics too. In one dimensional motion, to the left would be negative displacement, and to the right would be positive displacement, but simply moving without specifying a direction would merely be distance, which is always positive.(16 votes)

- kinda get practice:absolute value to find distance(9 votes)
- will it always be the same?. EX -3=3(6 votes)
- absolute value means whatever is inside will always come out positive, so while you have an incorrect statement without the absolute value bars, | -3 | = | 3 | = 3. Since it is a distance from 0, a negative and a positive equal number will always be the same distance from 0.(8 votes)

- This was kinda of easy but if any thinks its hard I can understand.(8 votes)
- are you having big or basically long modulus questions (absolute value questions ) which may include 2 to 3 modulus ; if not i can send you some 10 to 20 ques ...

my email id : adityarathore2609@gmail.com

(khan academy user)......(7 votes) - why can -0.9=0.9, but 9 and -9 cannot?(4 votes)
- First -0.9 does not equal 0.9

If you have |-0.9|, then it changes into 0.9

This is the same for 9 and -9

If you have |-9|, then it becomes +9

The absolute value of a number is its distance from zero. Distances are positive. So, the absolute value returns a positive number.

Hope this helps.(6 votes)