Equivalent Decimals

Mathematics Class IV Decimals Equivalent Decimals

In decimal number comparison, we first compare the whole number first. If the whole number parts are equal, then we compare the extreme left digits of the decimal parts. If they are equal, then we compare the next digits and so on. Let’s see some examples.

Example 1.

Which decimal number is greater between $62.45$ and $75.05$ ?

Solution.

Whole number of $62.45 = 62$
Whole number of $75.05 = 75$
$75$ is greater than $62$ .
So, $75.05 > 62.45$

Example 2.

Which decimal number is greater between $100.65$ and $100.28$ ?

Solution.

$1$ st decimal digits for comparison.

$0.6 > 0.2$

So, $100.65 > 100.28$

Let’s consider a fraction having $10$ in the denominator, that is $\dfrac{5}{10}$ .

Equivalent fractions of $\dfrac{5}{10}=\dfrac{50}{100}=\dfrac{500}{1000}$

Now convert the above fractions into decimal format.

$0.5=0.50=0.500$

So, $0.5$ equivalent decimals are $0.50,\ 0.500,\ 0.5000\cdots$ so on.

Example. 3

What are equivalent decimals of $0.8$ ?

Solution.

$0.8 =0.80=0.800=0.8000$
Equivalent decimals of $0.8 =0.80,\ 0.800,\ 0.8000\cdots$ so on.

Example 4.

What are the equivalent decimals of $1.25$ ?

Solution.

Equivalent decimals of $1.25=1.250,\ 1.2500,\ 1.25000\cdots$ so on.