Question

How do you simplify \[\dfrac{50}{0.02}\]?

Answer 1

Hint: We can simplify this expression using basic arithmetic operations. First we have to change the decimal in the denominator as a whole number. After converting into the whole number we will apply the simplification techniques to arrive at the solution.

Complete step by step solution:
Given that \[\dfrac{50}{0.02}\]
First we have to convert the denominator into a whole number from decimal.
To convert a decimal into a whole number we have to multiply it with multiples of 10 according to the digits after the point.
We have to multiply both numerator and denominator with the same number.
Here we have \[0.02\] in this we have points after decimal.
So we have to multiply it with 100 to make it a whole number.
So we will multiply both numerator and denominator with 100.
By multiplying we will get
\[\Rightarrow \dfrac{50\times 100}{0.02\times 100}\]
After simplifying it we will get
\[\Rightarrow \dfrac{5000}{2}\]
Now we have whole numbers in both the numerator and denominator.
So we do regular division to get the solution.
After dividing numerator with denominator we will get
\[\Rightarrow 2500\]

So the simplified form of the given expression is \[2500\].

Note: We can also do direct division with the decimal when you are very good at calculations. But we should be careful while multiplying with numbers because we have to multiply both numerator and denominator with the same number otherwise the fraction will get changed. Also while multiplying a decimal make sure that we are taking the correct multiple of 10 according to places present after the decimal otherwise calculation becomes complex.