Square Number — 11² = 121 — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Square Number — 11² = 121

About this illustration

Visual representation of the square number 11² = 121 as a 11×11 grid of 121 navy dots. For teaching square numbers, exponents, perfect squares.

What is 11 squared?

11 squared is 121. Squaring a number means multiplying it by itself, so 11² = 11 × 11 = 121. Read the other way round, the square root of 121 is 11.

Calculation
11² = 11 × 11
Answer
121
In words
one hundred and twenty-one
Square root
√121 = 11
Position
the 11th square number
  • Squaring means multiplying a number by itself, so 11² = 11 × 11 = 121.
  • 121 is called a square number because 121 counters can be arranged in a perfect square of 11 rows with 11 in each row.
  • The opposite of squaring is taking the square root, so √121 = 11.
  • 11 squared is not 11 × 2. 11 × 2 = 22, but 11² = 121.
  • Each square number is the odd numbers added up in order: 121 − 100 = 21, so the gap from 100 to 121 is 21.

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