MathsYears 12–13Algebra and Functions

Modulus function

Sketch and solve equations involving the modulus function; understand piecewise definitions

What you'll learn

  1. 1

    The modulus function takes any number and gives its distance from zero on the number line — always positive.

  2. 2

    What is the modulus of -5?

  3. 3

    Drag the blue dot to show the modulus of -4 on the number line.

  4. 4

    Let's find |x - 3| = 5. This means the distance between x and 3 is 5.

  5. 5

    Solve |x - 2| = 7. What are the two possible values for x?

  6. 6

    Use the number line to solve |x + 1| = 4. Find both solutions.

  7. 7

    What is the modulus of 0?

Practise Modulus function with Whizlo

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