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 .
For example, the absolute value of is :
This seems kind of obvious. Of course the distance from to is . Where absolute value gets interesting is with negative numbers.
For example, the absolute value of is also :
What is the absolute value of ?
The absolute value symbol
The symbol for absolute value is a bar on each side of the number.
For example, instead of writing
"the absolute value of "
we can just write
What is ?
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- 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|
Then, take the absolute value of the number inside the bars:
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)