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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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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?(18 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)
- at,what if the number is flipped?like x to 9 and the x is 2, is that possible? 11:29(6 votes)
- x can equal 2 #s (# is short for number)(1 vote)