Some squares and cubes you should know
What is a square?
When a number is multiplied by itself, the result is called the square of that number.
For example, 3 * 3 = 9. This is the same as saying 3 squared, or written with an exponent as 3^{2}, and 9 is called the square of 3. This type of calculation is used frequently in math. Many formulas and calculations require multiplying a number by itself. It can be useful to have the squares of some basic numbers in memory to help with estimations and to help understand the way the squares get bigger quickly.
Here are some basic squares – take a few minutes to learn some of these by heart. You will use them more often than you think.

0^{2} = 0 1^{2} = 1
2^{2} = 4
3^{2} = 9
4^{2} = 16
5^{2} = 25
6^{2} = 36
7^{2} = 49
8^{2} = 64
9^{2} = 81
10^{2} = 100
11^{2} = 121 12^{2} = 144
13^{2} = 169
14^{2} = 196
15^{2} = 225
16^{2} = 256
20^{2} = 400
25^{2} = 625
30^{2} = 900
40^{2} = 1600
50^{2} = 2500
What is a cube?
A cube is similar to a square, but you multiply the number by itself a third time to get the cube.
For example: 3 * 3 * 3 = 27, so 27 is the cube of 3. The exponent looks like 3^{3}. It is also useful to know a few of these, take a minute and learn some of the cubes below.

0^{3} = 0 1^{3} = 1
2^{3} = 8
3^{3} = 27
4^{3} = 64
5^{3} = 125
10^{3} = 1000
12^{3} = 1728 16^{3} = 4096
20^{3} = 8000
25^{3} = 15625
40^{3} = 64000
50^{3} = 125000
100^{3} = 1000000
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