Addition of decimal numbers

Chapter 8 Class 6 Decimals
Concept wise

### Addition of decimals

First we convert them into fractions

and

then we convert the final fraction into decimal

Let’s take an example

Add 0.08 + 9.831 + 0.8956

0.08 + 9.831 + 0.8956

= 008/100 + 9831/1000 + 08956/10000

= 8/100 + 9831/1000 + 8956/10000

= 8/100 × 100/100 + 9831/1000 × 10/10 + 8956/10000

= 800/10000 + 98310/10000 + 8956/10000

= (800 + 98310 + 8956)/10000

= (98310 + 8956 + 800)/10000

= 108066/10000

= 10.8066

### Add 49.59 + 53. 481 + 1000.003

49.59 + 53.481 + 1000.003

= 4959/100 + 53481/1000 + 1000003/1000

= (4959)/100 × 10/10 + 53481/1000 + 1000003/1000

= (49590)/1000 + 53481/1000 + 1000003/1000

= (49590 + 53481 + 1000003)/1000

= (1000003 + 49590 + 53481)/1000

= 1103074/1000

= 1103.074

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### Transcript

Addition of decimalsTo add decimals, First we convert them into fractions and then we cannot the final fraction into decimal Let’s take an example Add 0.08 + 9.831 + 0.8956 0.08 + 9.831 + 0.8956 = 008/100 + 9831/1000 + 08956/10000 = 8/100 + 9831/1000 + 8956/10000 = 8/100 × 100/100 + 9831/1000 × 10/10 + 8956/10000 = 800/10000 + 98310/10000 + 8956/10000 = (800 + 98310 + 8956)/10000 = (98310 + 8956 + 800)/10000 = 108066/10000 = 10.8066 Add 49.59 + 53. 481 + 1000.003 49.59 + 53.481 + 1000.003 = 4959/100 + 53481/1000 + 1000003/1000 = (4959 )/100 × 10/10 + 53481/1000 + 1000003/1000 = (4959 )/100 + 53481/1000 + 1000003/1000 = (49540 + 53481 + 1000003)/1000 = (1000003 + 49590 + 53481)/1000 = 1103074/1000 = 1103.074

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.