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 32, 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.
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02 = 0 12 = 1
22 = 4
32 = 9
42 = 16
52 = 25
62 = 36
72 = 49
82 = 64
92 = 81
102 = 100
112 = 121 122 = 144
132 = 169
142 = 196
152 = 225
162 = 256
202 = 400
252 = 625
302 = 900
402 = 1600
502 = 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 33. It is also useful to know a few of these, take a minute and learn some of the cubes below.
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03 = 0 13 = 1
23 = 8
33 = 27
43 = 64
53 = 125
103 = 1000
123 = 1728 163 = 4096
203 = 8000
253 = 15625
403 = 64000
503 = 125000
1003 = 1000000
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