Question

What is 36 divided by 0.018?

Answer 1

Hint: Assume the required expression as E. Now, consider 36 as the numerator and 0.018 as the denominator in the assumed expression. Remove the decimal point of the denominator by multiplying with 1000. Now, to balance this change, multiply the numerator also with the same. Cancel the common factors to simplify the expression and take the product of the remaining factors to get the answer.

Complete step by step solution:
Here we have been asked to divide 36 by 0.018. So the dividend (numerator) is 36 and the divisor (denominator) is 0.018. Let us assume this expression as E, so we have,
\[\Rightarrow E=36\div 0.018\]
Now, when we have to divide a number ‘a’ with another number ‘b’ then what we do is, we first take the reciprocal of the number ‘b’ and then multiply it with number ‘a’. To take the reciprocal of a number we divide 1 by that number. For example: - reciprocal of b will be \[\dfrac{1}{b}\].
So let us come to the question. Taking the reciprocal of 0.018 we get \[\dfrac{1}{0.018}\]. Now, we have to multiply \[\dfrac{1}{0.018}\] with 36. So we get,
\[\begin{align}
  & \Rightarrow E=36\times \left( \dfrac{1}{0.018} \right) \\
 & \Rightarrow E=\dfrac{36}{0.018} \\
\end{align}\]
Now, let us remove the decimal point from the denominator. As we can see that there are three digits after the decimal point in 0.018 so we need to multiply it with 1000. To balance this change we need to multiply the numerator also with 1000, so we get,
\[\begin{align}
  & \Rightarrow E=\dfrac{36}{0.018}\times \dfrac{1000}{1000} \\
 & \Rightarrow E=\dfrac{36}{18}\times 1000 \\
\end{align}\]
Cancelling the common factors we get,
\[\begin{align}
  & \Rightarrow E=2\times 1000 \\
 & \therefore E=2000 \\
\end{align}\]
Hence, the value of the given expression is 2000.

Note: Do not get confused considering the numerator and the denominator of the required expression otherwise you will get the reciprocal of the value we have got as the answer. Always remember that to remove the decimal point from a number we multiply it with ${{10}^{n}}$ where n denotes the number of digits after the decimal point present in the number.