Absolute Value Worksheets

Find distance from zero and compare magnitudes of signed numbers.

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Absolute value as distance from zero

The absolute value of a number is its distance from zero on a number line. Distances are nonnegative, so opposite numbers have equal absolute values even though their positions differ.

A method you can use

  1. Locate the number relative to zero.
  2. Count or calculate the distance to zero without a direction sign.
  3. Evaluate expressions inside absolute-value bars before taking their absolute value.

Worked examples

Example 1

Find |−8|.

  1. −8 is eight units to the left of zero.
  2. Distance ignores the leftward direction.

Answer: 8

Example 2

Find |3 − 7|.

  1. Calculate inside the bars: 3 − 7 = −4.
  2. The distance from −4 to zero is 4.

Answer: 4

Example 3

Which is larger, −9 or −2? Which has greater absolute value?

  1. −2 lies farther right, so −2 > −9.
  2. Their absolute values are 9 and 2.

Answer: −2 is larger; −9 has greater absolute value

Try it yourself

Solve these before opening the answers. The printable sets below give you more practice.

1. Find |−12|.

Show answer and explanation

12

−12 is twelve units from zero.

2. Find |4 − 10|.

Show answer and explanation

6

4 − 10 = −6; its absolute value is 6.

Take the three-skill math check for this grade →

Before you begin

Read signed numbers and fractions; recall multiplication and division facts.

Choose your level

  • Easy: Use small numbers and familiar denominators.
  • Medium: Use larger numbers and mixed representations.
  • Hard: Combine signed quantities or work backwards from a result.

Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.

Preview and print an easy set

Try six questions below, or choose a full set at your level.

1
Find |-5|.
2
Find |11|.
3
Find |-2|.
4
Find |16|.
5
Find |1|.
6
Find |-6|.

Answer Key

1. 52. 113. 24. 165. 16. 6

Full worksheet sets