Square Numbers and Cube Numbers

Square Numbers

A square number is the result of multiplying an integer by itself. When an integer is squared, we write it as x^2.

Examples of square numbers

  • The square of 3 is 3^2 = 3 \times 3 = 9.
  • The square of 1 is 1^2 = 1 \times 1 = 1.
  • The square of -5 is (-5)^2 = (-5) \times (-5) = 25.
  • The square of 1.5 is 1.5^2 = 1.5 \times 1.5 = 2.25.

The first few square numbers are:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, …

Cube Numbers

A cube number is obtained by multiplying an integer by itself three times. We write the cube of x as x^3.

Examples of cube numbers

  • The cube of 4 is 4^3 = 4 \times 4 \times 4 = 64.
  • The cube of 8 is 8^3 = 8 \times 8 \times 8 = 512.
  • The cube of 10 is 10^3 = 10 \times 10 \times 10 = 1000.

The first few cube numbers are:

1, 8, 27, 64, 125, 216, 343, 512, …

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