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## 6th grade

### Course: 6th grade > Unit 5

Lesson 6: Intro to absolute value# Intro to absolute value

Learn how to think about absolute value as distance from zero, and practice finding absolute values.

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

For example, the absolute value of 4 is start color #11accd, 4, end color #11accd:

This seems kind of obvious. Of course the distance from 0 to 4 is start color #11accd, 4, end color #11accd. Where absolute value gets interesting is with negative numbers.

For example, the absolute value of minus, 4 is also start color #11accd, 4, end color #11accd:

## Let's practice!

## The absolute value symbol

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

For example, instead of writing

"the absolute value of minus, 6"

we can just write

vertical bar, minus, 6, vertical bar.

## Let's practice!

## Want to join the conversation?

- wouldn't the question -(-7+4)it is absolute, be-11?(17 votes)
- Not quite -

Here's the expression: -|-7 + 4|*First, start by working out the expression***inside***the absolute value bars:*

-|-7 + 4|

-|-3|*Then, take the absolute value of the number inside the bars:*

-|-3|

-(3)

-3*So your answer is -3*

-|-7 + 4| = -3

Hope this helps!(72 votes)

- What is absolute value in real-life scenarios?(9 votes)
- Absolute values are used when we work with distances. Distances are positive values.

For example: A diver is -15 deep (this places him 15 feet below the surface of the water). How far does he need to travel to get to the surface? He needs to travel |-15| = 15 feet.

Hope this helps.(50 votes)

- how is a<|a| shouldn't a=|a| as they are the same distance from 0?(10 votes)
- a was a negative number while absolute a was a positive number therefore a is less than positive a(8 votes)

- this doesn't totally make sense to me.(10 votes)
- So absolute value is the distance a number has from 0. It can never be negative. So lets say that an editor needs to go back -3 pages. The absolute value would be 3. He/she would need to go back 3 pages since there are no negative pages. Hope this helps!(8 votes)

- Would -(-9+3) it be absolute -12(9 votes)
- No. See Jade's question from 2 years ago as it's similar to your question; and Polina's reply/explanation to help you.(7 votes)

- How do we use absolute value in the real world(7 votes)
- Any time we want to find the total amount, such as the total distance traveled, rather than the destination. For instance, let's say I take 10 steps forward, then turn around and take 10 steps back to my original spot. In the end, it means I did not actually move at all. 10 plus negative 10 = 0. But in this case, I want to find how steps I took in total. So I take the absolute value of both numbers, and now discover that 10 plus 10 equals 20, because I took a total 20 steps.(10 votes)

- If they ask for the absoulte value of 8, is the answer going to be positive 8?(5 votes)
- Yes, because an absolute value can never be a negative number, it can only be positive.(1 vote)

- i wonder who was like "hmmm lets put lines beside this number and that will mean absaloot value"(10 votes)
- This is for the students who are confused on how absoulute value works. My first example: think of a integer, the definition of a integer is a positive whole number. So if we say the absoulute value of -2, think of it as what is -2 swicthed as a integer. Please upvote me if this helped.(7 votes)
- The definition of an integer used here is incorrect.

An integer is any specific number that can be expressed without using a fraction or decimal.

It is not a positive whole number.

The absolute value of a negative number is its positive opposite.(4 votes)

- at11:29,what if the number is flipped?like x to 9 and the x is 2, is that possible?(6 votes)
- x can equal 2 #s (# is short for number)(1 vote)