Square Number — 3² = 9 — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Square Number — 3² = 9

About this illustration

Visual representation of the square number 3² = 9 as a 3×3 grid of 9 navy dots. For teaching square numbers, exponents, perfect squares.

What is 3 squared?

3 squared is 9. Squaring a number means multiplying it by itself, so 3² = 3 × 3 = 9. Read the other way round, the square root of 9 is 3.

Calculation
3² = 3 × 3
Answer
9
In words
nine
Square root
√9 = 3
Position
the 3rd square number
  • Squaring means multiplying a number by itself, so 3² = 3 × 3 = 9.
  • 9 is called a square number because 9 counters can be arranged in a perfect square of 3 rows with 3 in each row.
  • The opposite of squaring is taking the square root, so √9 = 3.
  • 3 squared is not 3 × 2. 3 × 2 = 6, but 3² = 9.
  • Each square number is the odd numbers added up in order: 9 − 4 = 5, so the gap from 4 to 9 is 5.

How to use

  1. 1Right-click the image and choose “Save image as”, or use the download button.
  2. 2Use it in your classroom worksheets, slides or printables — free under CC BY-NC 4.0.
  3. 3Attribute as “Image by Kuraplan” or link back to kuraplan.com. Not for commercial resale.

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