Question

Evaluate the value : \[{{\left( 0.8 \right)}^{3}}\]

Answer 1

Hint: From the given question we have been asked to find the cube of a number. For solving this question we will explain the definition of the cube of a number and will explain how to find the cube of a certain number. We will also use the basic mathematical operation which is multiplication and solve the question. So, we proceed with our solution as follows.

Complete step-by-step solution:
Firstly, the cube number is a number that is the product of three numbers which are the same.
In other words, if we multiply a number by itself and then by itself again, the result is a cube number
For finding the cube of \[0.8\] we will use the basic mathematical operation which is multiplication and multiply \[0.8\] itself three times.
So, we get as follows.
\[\Rightarrow {{\left( 0.8 \right)}^{3}}=0.8\times 0.8\times 0.8\]
\[\Rightarrow 0.8\times 0.8\times 0.8=0.512\]
Now, we have to convert the given number into fraction we get,
\[\Rightarrow 0.512=\dfrac{512}{1000}\]
\[\Rightarrow \dfrac{64}{125}\]
Therefore, the solution will be \[\Rightarrow \dfrac{64}{125},0.512\].

Note: Students should be very careful in doing the calculations. We must have good knowledge in the concept of basic mathematical operations and the definition of cube of a number.
We must not leave the solution in this step \[\Rightarrow 0.512=\dfrac{512}{1000}\] because we have to write the simplified form.