Division of Decimal Fractions

This topic would deal with division of decimal fractions. Like we learnt multiplication with 10, 100 and 1000 here we will also learn about division of decimal fractions with 10, 100, 1000. There are certain short cut rules which can be applied for division of decimal fractions by 10, 100, 1000.


Rules for division of decimal fractions by 10, 100, 1000:

I: For dividing decimal fractions by 10, 100, and 1000 we need to count the number of zeros first after the digit 1.

II. If there is 1 zero then the decimal point will move one step left of the decimal point in dividend, if there are 2 zeros the decimal point will move two places left of the decimal point in dividend, if there are 3 zeros the decimal point will move 3 places left of the decimal point in the dividend and likewise it will go on. 

III. As we have seen that in case of multiplication with 10, 100, and 1000 the decimal point moves right of the multiplicand. Whereas, in case of division the decimal point  moves left in the dividend.

For example;

75.423 ÷ 10

Here it is division by 10. Hence the decimal point will move one place to the left that is it will be placed after 7.

= 7.5423


Here are few more examples to illustrate division of decimal fractions by 10, 100 and 1000

1. 85.96 ÷1000

There are three zeros (i.e. 1000) hence the decimal point will move 3 places to the left. But before the decimal point there are two digits hence we need to put zero in front of the number so that the decimal can move three places. That is

= 0.08596


2. 155.26 ÷ 100

There are two zeros hence the decimal point will move 2 places to the left. Therefore the decimal point will be placed after 1. That means

= 1.5526


3. 50.96 ÷ 10

There is one zero hence the decimal point will move 1 places to the left. Therefore the decimal point will be placed after 5. That means

= 5.096


4. 7.854 ÷ 10

There is one zero hence the decimal point will move 1 places to the left. Therefore the decimal point will be placed before 7. That means

= 0.7854


5. 5547.52 ÷ 10000

There are four zeros hence the decimal point will move 4 places to the left. Therefore the decimal point will be placed before 5. That means

= 0.554752


6. 703.96 ÷ 1000

There are three zeros hence the decimal point will move 3 places to the left. Therefore the decimal point will be placed before 7. That means

= 0.70396


7. 2.374 ÷ 100

There are two zeros hence the decimal point will move 2 places to the left. But before the decimal point there is only one digit hence we need to put zero in front of the number so that the decimal can move two places. That is

= 0.02374


8. 425.58 ÷ 100

There are two zeros hence the decimal point will move 2 places to the left. Therefore the decimal point will be placed after 4. That means

= 4.2558





5th Grade Math

From Division 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. Mechanism of Breathing | Definition of Inspiration and Expiration

    Aug 17, 25 11:41 PM

    Pressure in Lungs
    Breathing is the process which is accomplished in three states that is inspiration expiration and pause . Definition of inspiration - Entry of air into the lungs from outside during breathing is calle…

    Read More

  2. Human Respiratory System | External Nares | Nasal Cavity | Pharynx

    Aug 04, 25 03:14 PM

    Lungs
    Definition of respiration - This is the process of making energy available to organisms and their living cells through enzyme controlled catabolic breakdown of organic molecules. The organic materials…

    Read More

  3. Disorders of Digestive System | Symptoms of Jaundice | Vomiting |

    Jul 16, 25 12:18 PM

    Symptoms of Diarrhoea
    Jaundice- It is a disease that occurs due to Umesh discoloration of the skin due to deposition of bilirubin and biliverdin pigment. Jaundice can be offered according to the different position like pre…

    Read More

  4. Absorption of Digested Products | Absorption of Water | Nephrons

    Jul 09, 25 02:24 PM

    Villus
    Food and water is observed in different parts of the body and is distributed in different cells and tissues. Absorption of food is observed to be observed in the small intestine in the specific type o…

    Read More

  5. Eleventh Grade | Eleventh Grade Science | Eleventh Grade Biology

    Jun 27, 25 12:26 AM

    Eleventh grade biology has been designed in accordance with the recommended topics. We will cover all the topics in biology very exciting and interesting way.

    Read More