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.

1st 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.

 




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