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Mar03

The Square of a Number and Exponents

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In today’s post, we are going to see what the square of a number is. For example, let’s calculate the square of 3:

square

We’re going to look at the square of any number, which we’ll call “n.”

The square of the number “n” is written n2 and it’s calculated by multiplying the number by itself: n x n.

square

We can see that calculating the square of a number is the same thing as raising it to the power of 2. So, why do we call it the square of a number? We’ll explain with an example using the number 3:

square

In other words, when we calculate the square of any given number (n), we are finding out the area of a square with the side length of n.square

Some Squares

It’s helpful to know some of the more frequently used squares by memory.

Do you know your multiplication tables? If so, it’ll be a breeze for you to learn the first few squares:

  • 02 = 0 x 0 = 0                                      
  • 12 = 1 x 1 = 1                                     
  • 22 = 2 x 2 = 4                                      
  • 32 = 3 x 3 = 9                                     
  • 42 = 4 x 4 = 16                                
  • 52 = 5 x 5 = 25
  • 62 = 6 x 6 = 36
  • 72 = 7 x 7 = 49
  • 82 = 8 x 8 = 64
  • 92 = 9 x 9 = 81
  • 102 = 10 x 10 = 100

 

It’s really helpful to know the squares of the numbers up to 15 by memory. Here you go:

  • 112 = 11 x 11 = 121
  • 122 = 12 x 12 = 144
  • 132 = 13 x 13 = 169
  • 142 = 14 x 14 = 196
  • 152 = 15 x 15 = 225

What did you think about this post? Did it help you understand what a square of a number is?

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