Decimal Addition and Subtraction

Transcript

Decimal Addition and SubtractionTo 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 = (49590 )/1000 + 53481/1000 + 1000003/1000 = (49540 + 53481 + 1000003)/1000 = (1000003 + 49590 + 53481)/1000 = 1103074/1000 = 1103.074 Subtraction of Decimal NumbersTo subtract decimal, first we convert them into fractions and then we convert the final fraction into decimal. Subtract 2.76 from 3.8 2.76 from 3.8 3.8 – 2.76 = 38/10 − 276/100 = 38/10 × 10/10 − 276/100 = 𝟑𝟖𝟎/𝟏𝟎𝟎 − 𝟐𝟕𝟔/𝟏𝟎𝟎 = ((380 − 276))/100 = 104/100 = 1.04 Subtract 9.398 from 34.65 9.398 from 34.65 34.65 – 9.398 = 3465/100 − 9398/1000 = 3465/100 × 10/10 − 9398/1000 = 𝟑𝟒𝟔𝟓𝟎/𝟏𝟎𝟎𝟎 − 𝟗𝟑𝟗𝟖/𝟏𝟎𝟎𝟎 = ((34650 − 9398))/1000 = 25252/1000 = 25.252