Square Number — 8² = 64 — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Square Number — 8² = 64

About this illustration

Visual representation of the square number 8² = 64 as a 8×8 grid of 64 navy dots. For teaching square numbers, exponents, perfect squares.

What is 8 squared?

8 squared is 64. Squaring a number means multiplying it by itself, so 8² = 8 × 8 = 64. Read the other way round, the square root of 64 is 8.

Calculation
8² = 8 × 8
Answer
64
In words
sixty-four
Square root
√64 = 8
Position
the 8th square number
  • Squaring means multiplying a number by itself, so 8² = 8 × 8 = 64.
  • 64 is called a square number because 64 counters can be arranged in a perfect square of 8 rows with 8 in each row.
  • The opposite of squaring is taking the square root, so √64 = 8.
  • 8 squared is not 8 × 2. 8 × 2 = 16, but 8² = 64.
  • Each square number is the odd numbers added up in order: 64 − 49 = 15, so the gap from 49 to 64 is 15.

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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