Question

How do you evaluate 14 divided by $ 0.2 $ ?

Answer 1

Hint: We first form the division with the numbers alongside their respective positions. We assume the value of the quotient as a variable and form the division. We convert the decimal into its fraction form. The division changes into multiplication because of the faction. Then from the multiplication, we get the value of the quotient.

Complete step by step answer:
We have to find the quotient value of the division for 14 divided by $ 0.2 $.
14 works as the dividend and the decimal $ 0.2 $ works as a divisor.
Let us assume the quotient will be $ x $ . Then we can form the equation as $ x=\dfrac{14}{0.2} $ .
We can convert the decimal into its fraction form.
So, the faction form of $ 0.2 $ will be $ 0.2=\dfrac{2}{10}=\dfrac{1}{5} $ .
Now we can perform the division and find the value of $ x $ .
Therefore, the division becomes $ x=\dfrac{14}{0.2}=\dfrac{14}{\dfrac{1}{5}} $ .
We convert the fraction from in the numerator into its multiplication form.
So, we get $ x=\dfrac{14}{\dfrac{1}{5}}=14\times 5=70 $ .
The quotient value is 70.
Therefore, the evaluation of 14 divided by $ 0.2 $ will be 70.

Note:
The division can also be done directly. We perform the division directly.
We take $ x=\dfrac{14}{0.2}=\dfrac{14}{\dfrac{2}{10}}=\dfrac{14\times 10}{2}=70 $ .
The process is similar. We can solve it in one go.