# Comparison of Decimal Fractions

This topic would deal with comparing decimal fractions. For comparing decimal fractions we first compare the whole number part then compare the fractional part. For comparing the fractional part we first compare the tenths place, then hundredths place, then thousandths place and so on.

For example:

Compare 0.55 and 0.58

We cannot compare the whole number part as both are same

We are comparing the fractional decimal part

0.55 = 5 tenths + 5 hundredths

0.58 = 5 tenths + 8 hundredths

Now 5 tenths = 5 tenths

We will now compare next place

5 hundredths < 8 hundredths

Steps of comparing decimal fractions:

Step I: First compare the whole number part.

Then if the whole number part of both the numbers are same then compare the tenths place.

Step II: If the tenths place is same or equal then compare the hundredths place.

Step III: If the hundredths place is same or equal then compare the thousandths place and so on.

Here are few examples of comparing decimal fractions:

1. Compare 45.63 and 45. 976

45.63 = 4 tens + 5 ones + 6 tenths + 3 hundredths

45.976 = 4 tens + 5 ones + 9 tenths + 7 hundredths + 6 thousandths

4 tens = 4 tens

5 ones = 5 ones

6 tenths < 9 tenths

Therefore, 45.63 < 45.976

2. Which is greater 90.678 or 65.321?

90.678 = 9 tens + 0 ones + 6 tenths + 7 hundredths + 8 thousandths

65.321 = 6 tens + 5 ones + 3 tenths + 2 hundredths + 1 thousandths

Now we see,

9 tens > 6 tens

Hence 90.678 >65.321

3. Compare 45.213 and 785. 563

45.213 = 4 tens + 5 ones + 2 tenths + 1 hundredths + 3 thousandths

785.563 = 7 hundreds + 8 tens + 5 ones + 5 tenths + 6 hundredths + 3 thousandths

Now we will first compare the integral part

4 tens < 7 hundreds

Therefore, 45.213 < 785.563

4. Which is greater 32.124 or 32.128

32.124 = 3 tens + 2 ones + 1 tenths + 2 hundredths + 4 thousandths

32.128 = 3 tens + 2 ones + 1 tenths + 2 hundredths + 8 thousandths

Now we will first compare the integral part

3 tens = 3 tens

2 ones = 2 ones

Now we will  compare the decimal fraction part

1 tenths = 1 tenths

2 hundredths = 2 hundredths

4 thousandths < 8 thousandths

Therefore, 32.124 < 32.128

## You might like these

• ### Word Problems on H.C.F. and L.C.M. | Highest Common Factor | Lowest Co

We have already learnt H.C.F, L.C.M and the relationship between the two and now we will learn on how to do word problems on H.C.F. and L.C.M. Note: In word problems on H.C.F. and L.C.M we have to remember two points: • When we are asked to find out maximum, highest

• ### Worksheet on H.C.F. and L.C.M. | HCF × LCM = 1st Number × 2nd Number

This topic will provide worksheet to students on H.C.F and L.C.M which will help to judge themselves their level of understanding of the topic and the areas where they need more careful study and analysis. This worksheet will serve as a yardstick for measuring the level of

• ### Relationship between H.C.F. and L.C.M. |HCF× LCM=1st Number×2nd Number

This topic discusses about the relationship between H.C.F and L.C.M in case of two numbers. The relationship between H.C.F and L.C. M of two number states that: H.C.F × L.C.M = First number × Second number Hence from this relationship we can find the following: H.C.F

• ### Examples to Find Least Common Multiple of Three Numbers by using Divis

This topic would provide examples on how to find least common multiple of three numbers. Various examples on finding L.C.M would help the learners in understanding the topic better. Here are few examples illustrated on finding the least common multiple of three numbers using

• ### To Find Lowest Common Multiple by using Division Method | Examples

This topic discusses about finding the lowest common multiple using division method. Steps to find the loqest common multiple using the division method: Step 1: Write the numbers in a row separating by commas Step 2: Then divide the given numbers (if possible both the

• ### Examples to Find Least Common Multiple of Two Numbers |Division Method

This topic would provide examples to find least common factor by using division method. This topic will help learners to clear their doubts and improve their understanding and knowledge on how to find out least common multiple (L.C.M) by division method.

• ### Examples to find Least Common Multiple by using Prime Factorization

This topic would provide various examples on finding the least common multiple using the method of prime factorization. Here are few examples illustrated on finding the least common multiple using the prime factorization method. 1. Find the least common multiple (L.C.M) of

• ### To Find Least Common Multiple by using Prime Factorization Method

This topic would discuss about how to find the least common multiple by using prime factorization method. Steps to find out the least common multiple by using prime factorization method: •First find all the prime factors of the given number .Then write all the prime factors

• ### Least Common Multiple (L.C.M.) | Lowest Common Multiple | Examples

In the last topic we have discussed about common multiples that is same multiples of two or more numbers. Now here we will discuss about the least common multiple that is the smallest common multiple of two or more numbers. Here are few examples illustrated on least common