CLASS-5
DIVISION OF DECIMAL NUMBER

Division of Decimal Numbers


Important Fact about Decimal Division -

1) When decimal is divided by 10, then the decimal point is moved one place to the left. Exam- 253.5 ÷ 10 = 25.35

2) When decimal is divided by 100, then the decimal point is moved two places to the left. Exam- 253.5 ÷ 100 = 2.535

3) When decimal is divided by 1000, then the decimal point is moved three places to the left. Exam- 253.5 ÷ 1000 = 0.2535

4) When decimal is divided by 10000, then the decimal point is moved forth places to the left. Exam- 253.5 ÷ 10000 = 0.02535

An extra zero ‘0’ is placed to complete the decimal place to satisfy fifth decimal places.

5) Division of any decimal number with 1, the Quotient always must be the same number itself which has been obtained as ‘Dividend’.



Example – 1)  12.5 ÷ 5  = ? 

Step.1)  Divide the decimals as the division of whole numbers is done.

Step.2)  Place the decimal point in the quotient directly the same above the decimal point in the dividend.




Example – 2)   62.5 ÷ 2.5  = ?

Step.1) You can observe that, in both ‘Divisor’ and ‘Dividend’ have a decimal points. In that case, we will try to remove the decimal point from both ‘Divisor’ and ‘Dividend’.

Step.2) Observe, both the number ‘Divisor’ and ‘Dividend’ are 1 decimal number. so now move decimal point to 1 step right position for ‘Divisor’ and same as for ‘Dividend’ also. Now, you can get both the decimal number (Divisor & Dividend) as a whole number. 

 

 



Example – 3)  31.25 ÷ 2.5  = ?

Step.1)  You can observe that, in both ‘Divisor’ and ‘Dividend’ have a decimal points. In that case, we will try to remove the decimal point from both ‘Divisor’ and ‘Dividend’.

Step.2)  Observe,‘Divisor’ is 1 decimal number and ‘Dividend’ is 2 decimal number. so now move decimal point to 1 step right position for ‘Divisor’ and same as for ‘Dividend’ also. Now, you can get the ‘Divisor’ as whole number and ‘Dividend’ as 1 decimal number.

 Step.3)  Divide the decimals as the division of whole numbers is done.

Step.4)  Place the decimal point in the quotient directly same above the decimal point in the dividend