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 blueD, 4, end color blueD:
This seems kind of obvious. Of course the distance from 0 to 4 is start color blueD, 4, end color blueD. Where absolute value gets interesting is with negative numbers.
For example, the absolute value of minus, 4 is also start color blueD, 4, end color blueD:

Let's practice!

Problem 1A
What is the absolute value of 3?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i

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!

Problem 2A
What is vertical bar, 7, vertical bar?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i