Question

How do you divide \[.12\] by $8$?

Answer 1

Hint: Here we need to find the value of the division of one number by another number. We will first convert the given decimal number into the fractional form and then we will divide that fraction by the given number. We will then eliminate the common factors in the numerator and the denominator. After simplifying the terms, we will again convert the simplified fraction into the decimal form.

Complete step by step solution:
Here we need to find the value of the division of one number by another number i.e. here we need to divide the number \[0.12\] by another number 8.
We need to find the value of \[\dfrac{{0.12}}{8}\]
We will first convert the given decimal number into the fractional form.
\[0.12 = \dfrac{{12}}{{100}}\]
Now, we will substitute this value in the expression \[\dfrac{{0.12}}{8}\]. Therefore, we get
\[\dfrac{{0.12}}{8} = \dfrac{{\dfrac{{12}}{{100}}}}{8}\]
On further simplification, we get
\[ \Rightarrow \dfrac{{0.12}}{8} = \dfrac{{12}}{{100 \times 8}}\]
Now, we will reduce the obtained fraction by eliminating the common factors in the numerator and the denominator.
Dividing the numerator and denominator by 4, we get
\[ \Rightarrow \dfrac{{0.12}}{8} = \dfrac{3}{{200}}\]
Now, we will further convert the given fraction into the decimal form.
\[ \Rightarrow \dfrac{{0.12}}{8} = 0.015\]

Hence, when we divide the decimal number \[0.12\] by another number 8, we will get the value as \[0.015\].

Note: We know that the decimal number is defined as the number whose fractional part and the whole part are separated by a dot which is known as the decimal point. To divide the decimal number by another number, it is preferred to convert the decimal number into the fractional number so that it becomes easier to get the value.