Practice Magnitude in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Magnitude measures the size or length of a quantity — for a vector (a, b), it is sqrt(a^2 + b^2). For a single number, magnitude is its absolute value: how far it is from zero, ignoring sign or direction.

How big something is, regardless of which way it points—5 miles east and 5 miles west are the same distance.

Example 1

easy
Find the magnitude (absolute value) of each: |{-9}|, |7|, |0|.

Example 2

medium
Which has greater magnitude: -15 or 12? Then determine which is greater as a signed number.

Example 3

easy
Evaluate |3 - 8|.

Example 4

medium
Solve |x| = 6. How many solutions are there?
← Back to Magnitude Worked Examples Formula Explained