# DIVIDING DECIMALS

Dividing decimals :

Jasmine was preparing a design to decorate her classroom. She needed a few colored strips of paper of length 1.8 cm each. She had a strip of colored paper of length 7.2 cm.

How many pieces of the required length will she get out of this strip ?

She thought it would be 7.2/1.8

Is she correct ?

Both 7.2 and 1.8 are decimal numbers. So we need to know the division of decimal numbers .

For example,

141.5 ÷ 10  =  14.15

141.5 ÷ 100  =  1.415

141.25 ÷ 1000  =  0.1415

To get the quotient we shift the point in the decimal number to the left by as many places as there are zeros over 1. ## Dividing decimals by whole numbers

Method 1 :

Find 4.2 ÷ 3

Solution :

4.2 ÷ 3  =  42/10 ÷ 3

4.2 ÷ 3  =  42/10 x 1/3

4.2 ÷ 3  =  14/10

4.2 ÷ 3  =  1.4 Method 2 :

Find 18.5 ÷ 5

Solution :

First, let us find 185 ÷ 5. We get 37

There is one digit to the right of the decimal point in 18.5.

Place the decimal point in 37 such that there would be one digit to its right. We will get 3.7 ## Dividing decimals by another decimal - Examples

Example 1 :

Find 17.6 ÷ 0.4

Solution :

17.6 ÷ 0.4  =  176/10 ÷ 4/10

17.6 ÷ 0.4  =  176/10 x 10/4

17.6 ÷ 0.4  =  44

Example 2 :

Find 1.2 ÷ 0.2

Solution :

1.2 ÷ 0.2  =  12/10 ÷ 2/10

1.2 ÷ 0.2  =  12/10 x 10/2

1.2 ÷ 0..2  =  6

Example 3 :

Find 1.8 ÷ 0.03

Solution :

1.8 ÷ 0.03  =  18/10 ÷ 3/100

1.8 ÷ 0.03  =  18/10 x 100/3

1.8 ÷ 0.03  =  6 x 10

1.8 ÷ 0.03  =  60 Example 4 :

A car covers a distance of 129.92 miles in 3.2 hours. What is the distance covered by it in 1 hour ?

Solution :

Distance covered by the car  =  129.92 miles

Time required to cover this distance  =  3.2 hours

So, distance covered by it in 1 hour  =  129.92/3.2

=  12992/320

=  40.6 miles

After having gone through the stuff given above, we hope that the students would have understood "Division of decimals".

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