Multiplying a number by itself, then multiplying by itself again gives the cube of a number:
4 x 4 x 4 = 43 = 64.
The small 3 (the index) after the number indicates that it is being cubed.
A negative number that is cubed will result in a negative number:
-33 = -3 x -3 x -3 = -27
A number less than 1 will result in a smaller number:
0.23 = 0.2 x 0.2 x 0.2 = 0.008
Fractions can also be cubed:
(`frac(1)(2)`)3 = `frac(1)(2)` x `frac(1)(2)` x `frac(1)(2)` = `frac(1)(8)`
What is 0.53?
Work out 5 x 5 x 5 = 125: there were 3 x 1 decimal places in the original numbers, make sure that there are three decimal places in the answer = 0.125.
Answer: 0.125
Calculate (2 + 3)3.
Calculate the brackets first: 2 + 3 = 5.
53 = 5 x 5 x 5 = 125.
Answer: 125
See also Cube Sequences