Division of Decimals

While dividing decimals

  • We remove decimal point, and convert into fractions
  • We try to make denominator as 10, 100, 1000, … and solve
  • And in the end, we convert fraction into decimals

Let’s take some examples

 

2.8 ÷ 2

= 2.8 ÷ 2/1

= 2.8 × 1/2

= 28/10 × 1/2

= (28 × 1)/(10 × 2)

= 14/10

= 1.4

 

3.6 ÷ 9

= 3.6 ÷ 9/1

= 3.6 × 1/9

= 36/10 × 1/9

= (36 × 1)/(10 × 9)

= 4/10

= 04/10

= 0.4

 

9.8 ÷ 100

= 9.8 ÷ 100/1

= 9.8 × 1/100

= 98/10 × 1/100

= (98 × 1)/(10 × 100)

= 98/1000

= 98/1000

= 0098/1000

= 0.098

 

12.96 ÷ 4

= 12.96 ÷ 4/1

= 12.96 × 1/4

= 1296/100 × 1/4

= 1296/4 × 1/100

= 324 × 1/100

= 324/100

= 3.24

 

0.05 ÷ 100

= 0.05 ÷ 100/1

= 0.05 × 1/100

= 005/100 × 1/100

= 005/100 × 1/100

= 5/100 × 1/100

= (5 × 1)/(100 × 100)

= 5/10000

= 00005/10000

= 0.0005

  1. Chapter 2 Class 7 Fractions and Decimals
  2. Concept wise

Transcript

Division of DecimalsWhile dividing decimals We remove decimal point, and convert into fractions We try to make denominator as 10, 100, 1000, … and solve And in the end, we convert fraction into decimals Let’s take some examples 2.8 ÷ 2 = 2..8 ÷ 2/1 = 2.8 × 1/2 = 28/10 × 1/2 = (28 × 1)/(10 × 2) = 14/10 = 1.4 3.6 ÷ 9 = 3.6 ÷ 9/1 = 3.6 × 1/9 = 36/10 × 1/9 = (36 × 1)/(10 × 9) = 4/10 = 04/10 = 0.4 9.8 ÷ 100 = 9.8 ÷ 100/1 = 9.8 × 1/100 = 98/10 × 1/100 = (98 × 1)/(10 × 100) = 98/1000 = 98/1000 = 0098/1000 = 0.098 12.96 ÷ 4 = 12.96 ÷ 4/1 = 12.96 × 1/4 = 1296/100 × 1/4 = 1296/4 × 1/100 = 324 × 1/100 = 324/100 = 3.24 0.05 ÷ 100 = 0.05 ÷ 100/1 = 0.05 × 1/100 = 005/100 × 1/100 = 005/100 × 1/100 = 5/100 × 1/100 = (5 × 1)/(100 × 100) = 5/10000 = 00005/10000 = 0.0005

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.