Division of Decimal Fractions

The rules of division of decimal fractions by 10, 100, 1000 etc. are discussed here.

(i) While dividing a decimal by 10, 100, or 1000 etc. i.e., multiples of 10, the decimal shifts to the left by as many places as there are zeroes in the divisor.

(ii) If the number of places in the integral part is less, then put the required number of zeroes to the left of the integral part, then shift the decimal point.

1. 71.6 ÷ 10

Solution:

71.6 ÷ 10

716/10 ÷ 10

= 716/10 × 1/10

= 716/100

= 71.6 ÷10

= 7.16

Therefore, 71.6 ÷ 10 = 7.16

Here we observe that decimal moves one place to the left.


2. 923.07 ÷ 100

Solution:

923.07 ÷ 100

= 92307/100 ÷ 100

= 92307/100 × 1/100

= 92307/10000

= 9.2307

Therefore, 923.07 ÷ 100 = 9.2307

Here we observe that decimal shifts two places to the left.



3. 44.008 ÷ 1000

Solution:

44.008 ÷ 1000

44.008/1000 ÷ 1000

= 44008/1000 × 1/1000

= 44008/1000000

=0.044008

Therefore, 44.008 ÷ 1000 = 0.044008

Here we observe that decimal point shifts three places to the left.

Division of Decimal Fractions



Let us consider some of the examples of division of decimal fractions by 10, 100, 1000, etc….

(i) 17.1 ÷ 10

Here the decimal shifts to the left by as many places as there are zeroes in the divisor.

Since there is 1 zero in the divisor then the decimal shifts 1 place to the left.



Therefore, 17.1 ÷ 10 = 1.71


(ii) 42.08 ÷ 10


Since there is 1 zero in the divisor then the decimal shifts 1 place to the left.



Therefore, 42.08 ÷ 10 = 4.208



(iii) 2.1 ÷ 100

We observe that the number of places in the integral part is less, then put the required number of zeroes to the left of the integral part, then shift the decimal point.

Since there are 2 zeroes in the divisor then the decimal shifts 2 places to the left.



Therefore, 2.1 ÷ 100 = 0.021



(iv) 73.3 ÷ 100

We observe that the number of places in the integral part is less, then put the required number of zeroes to the left of the integral part, then shift the decimal point.

Since there are 2 zeroes in the divisor then the decimal shifts 2 places to the left.



Therefore, 73.3 ÷ 100 = 0.733



(v) 81.6 ÷ 1000

We observe that the number of places in the integral part is less, then put the required number of zeroes to the left of the integral part, then shift the decimal point.

Since there are 3 zeroes in the divisor then the decimal shifts 3 places to the left.



Therefore, 81.6 ÷ 1000 = 0.0816



(vi) 984.72 ÷ 1000

We observe that the number of places in the integral part is less, then put the required number of zeroes to the left of the integral part, then shift the decimal point.

Since there are 3 zeroes in the divisor then the decimal shifts 3 places to the left.



Therefore, 984.72 ÷ 1000 = 0.98472


 Choose the right answer and fill in the blank.

(i) 478.65 ÷ ________ = 47.865

(a) 10

(b) 100

(c) 1000

(d) 1

Answer: (a) 10



(ii) 137.85 × 10 = ________

(a) 13785

(b) 13.785

(c) 1378.5

(d) 1.3785

Answer: (c) 1378.5

● Decimal.








5th Grade Numbers Page 

5th Grade Math Problems 

Erom Division of Decimal Fractions to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

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




Share this page: What’s this?

Recent Articles

  1. Worksheet on Area, Perimeter and Volume | Square, Rectangle, Cube,Cubo

    Jul 25, 25 12:21 PM

    In this worksheet on area perimeter and volume you will get different types of questions on find the perimeter of a rectangle, find the perimeter of a square, find the area of a rectangle, find the ar…

    Read More

  2. Worksheet on Volume of a Cube and Cuboid |The Volume of a RectangleBox

    Jul 25, 25 03:15 AM

    Volume of a Cube and Cuboid
    We will practice the questions given in the worksheet on volume of a cube and cuboid. We know the volume of an object is the amount of space occupied by the object.1. Fill in the blanks:

    Read More

  3. Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume

    Jul 24, 25 03:46 PM

    Volume of Cuboid
    Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional. To measur…

    Read More

  4. Volume of a Cube | How to Calculate the Volume of a Cube? | Examples

    Jul 23, 25 11:37 AM

    Volume of a Cube
    A cube is a solid box whose every surface is a square of same area. Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure i…

    Read More

  5. 5th Grade Volume | Units of Volume | Measurement of Volume|Cubic Units

    Jul 20, 25 10:22 AM

    Cubes in Cuboid
    Volume is the amount of space enclosed by an object or shape, how much 3-dimensional space (length, height, and width) it occupies. A flat shape like triangle, square and rectangle occupies surface on…

    Read More