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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


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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.