Class 7 Maths Fractions and Decimals | Division of Decimal Numbers |

__Division of Decimal Numbers__

__Division of Decimal Numbers__

__Firstly, write the decimal numbers in fractional form. For e.g. 0.5 is 5/10.__

Multiply the dividend with the reciprocal of divisor. The answer obtained is the required answer.

While dividing a number by 10, 100 or 1000, the digits of the number and the quotient are same but the decimal point in the quotient shifts to the left by as many places as there are zeros over one.

__Problem__: Find **a) 0.35/5 b)272.23/10**

0.35/5

Firstly, write the decimal numbers in fractional form. So, 0.35 will be written as 35/100.

Multiply the dividend with the reciprocal of divisor. The reciprocal of 5 is 1/5. We get:

= 35/100*1/5

=35/500

=7/100

Decimal point in the quotient shifts two places to the left. We get;

= 0.07

**272.23/10**

While dividing a number by 10, 100 or 1000, the digits of the number and the quotient are same but the decimal point in the quotient shifts to the left by as many places as there are zeros over one.

__Decimal point in the quotient will shift one place to the left. We get;__

= 27.223

The answer is 27.223.

__Problem :__ A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in one litre of petrol?

Distance covered in 2.4 litres of petrol = 43. 2 kms

Distance covered in 1 litre of petrol = 43.2/10 kms

The decimal point will shift one place to the left. So we get:

The distance covered in one litre of petrol is 4.32 kms.

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