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

Comparison of Decimal Fractions

You might like these



From Comparison of Decimal Fractions to HOME PAGE

New! Comments

Have your say about what you just read! Leave me a comment in the box below.


Recent Articles

  1. Respiratory Balance Sheet | TCA Cycle | ATP Consumption Process

    Feb 18, 24 01:56 PM

    ATP Synthase in Mitochondria
    The major component that produced during the photosynthesis is Glucose which is further metabolised by the different metabolic pathways like glycolysis, Krebs cycle, TCA cycle and produces energy whic…

    Read More

  2. Electron Transport System and Oxidative Phosphorylation | ETC |Diagram

    Feb 04, 24 01:57 PM

    Electron Transport Chains
    It is also called ETC. Electron transfer means the process where one electron relocates from one atom to the other atom. Definition of electron transport chain - The biological process where a chains…

    Read More

  3. Tricarboxylic Acid Cycle | Krebs Cycle | Steps | End Products |Diagram

    Jan 28, 24 12:39 PM

    Aerobic Respiration
    This is a type of process which execute in a cyclical form and final common pathway for oxidation of Carbohydrates fat protein through which acetyl coenzyme a or acetyl CoA is completely oxidised to c…

    Read More

  4. Aerobic Respiration | Definition of Aerobic Respiration | Glycolysis

    Dec 15, 23 08:42 AM

    Aerobic Respiration
    This is a type of respiration where molecular free oxygen is used as the final acceptor and it is observed in cell. Site of Aerobic Respiration - Aerobic respiration is observed in most of the eukaryo…

    Read More

  5. Fermentation | Definition | Types of Fermentation | Application

    Nov 29, 23 10:27 PM

    Fermentation
    Definition of fermentation- It is a process that is energy yielding process of anaerobic oxidation of organic compounds which are carried out by the enzyme action of micro organisms where neither gase…

    Read More