Question

How do you write the $\dfrac{5}{8}$ as decimal?

Answer 1

Hint:
We can convert any fraction to a decimal in many different ways some of which are by converting the denominator to a power of $10$ or by using a long division method.

Complete step by step solution:
First of all we should know what a decimal is, a decimal is simply representation of a system of numbers based on the number ten, tenth parts and powers of ten. We will convert the given fraction into another equivalent fraction with a denominator of power $10$ .
As we know, in the fraction $\dfrac{5}{8}$ , denominator $=8$.
We need to look for the smallest multiple of 8 which is a power of $10$ .
Now, as we know $1000$ is the third power of $10$ and also divisible by $2$$8$ .
To convert the denominator to $1000$, we will multiply both the numerator and denominator by $125$.
$\dfrac{5\times 125}{8\times 125}=\dfrac{625}{1000}$
As we can see there are $2$ zero in the denominator, we can write it as
$\dfrac{625}{1000}=0.625$.

Hence, the decimal form of $\dfrac{5}{8}$ is $0.625$.

Note:
Decimals are generally used to represent fractions whose value is not an integer.
The decimal system has a base in the power of $10$.
Decimal is simply a representation of a system of numbers based on the number ten, tenth parts and powers of ten.