Square Number — 9² = 81 — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Square Number — 9² = 81

About this illustration

Visual representation of the square number 9² = 81 as a 9×9 grid of 81 navy dots. For teaching square numbers, exponents, perfect squares.

What is 9 squared?

9 squared is 81. Squaring a number means multiplying it by itself, so 9² = 9 × 9 = 81. Read the other way round, the square root of 81 is 9.

Calculation
9² = 9 × 9
Answer
81
In words
eighty-one
Square root
√81 = 9
Position
the 9th square number
  • Squaring means multiplying a number by itself, so 9² = 9 × 9 = 81.
  • 81 is called a square number because 81 counters can be arranged in a perfect square of 9 rows with 9 in each row.
  • The opposite of squaring is taking the square root, so √81 = 9.
  • 9 squared is not 9 × 2. 9 × 2 = 18, but 9² = 81.
  • Each square number is the odd numbers added up in order: 81 − 64 = 17, so the gap from 64 to 81 is 17.

How to use

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  2. 2Use it in your classroom worksheets, slides or printables — free under CC BY-NC 4.0.
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