Question

Compare and write the appropriate sign $<,>,=$

$0.051.............\frac{51}{100}$

Answer 1

Step 1- Converting $\frac{51}{100}$ into decimal form.

We know that, to convert a fraction to a decimal, the power of ten in the denominator decides the number of decimal places.

$\frac{51}{100}=\frac{51}{{10}^2}$.

Here, $10$ have a power $2$.

Therefore, we put the decimal after $2$ places from the right side.

So, the decimal form will be $0.51$.

Step 2- Comparing both the numbers.

Now, both the decimals are not like decimals as their decimal places are not same.

So, first we will make the decimal places equal by adding zeros to the extreme right.

$0.51$ will be $0.510$

Now, comparing the whole part of the decimals.

Here, the tenths part of one decimal is $0$ and the second one is $5$.

Therefore, $0.051<0.510$

Hence, $0.051<\frac{51}{100}$.