We will learn uses decimals in every day. In daily life we use decimals while dealing with length, weight, volume, money etc.
Use of Decimals while Dealing with Money:
100 paise = 1 rupee;
[We know that one paise in one hundredth of a rupee.]
1 paise = \(\frac{1}{100}\) rupee = 0.01 rupee
9 paise = \(\frac{9}{100}\) rupee = 0.09 rupee
21 paise = \(\frac{21}{100}\) rupee = 0.21 rupee
Thus, 8 rupees 15 paise = 8\(\frac{15}{100}\) = 8.15 rupees
10 rupees 5 paise = 10\(\frac{5}{100}\) = 10.05 rupees
We read 6.45 rupees as six rupees 45 paise
16.25 rupees as sixteen rupees 25 paise
Use of Decimals while Dealing with Lengths:
10 mm = 1 cm
Therefore, 1 mm = \(\frac{1}{10}\) cm = 0.1 cm;
[One millimetre is one tenth of a centimetre.]
Therefore, 9 mm = \(\frac{9}{10}\) cm = 0.9 cm
Thus, 4 cm 8 mm = 4\(\frac{8}{10}\) cm = 4.8 cm
13 cm 6 mm = 13\(\frac{6}{10}\) cm = 13.6 cm
We know that 100 cm = 1 m;
[One centimetre is one hundredth of a metre.]
1 cm = \(\frac{1}{100}\) m = 0.01 m
2 cm = \(\frac{2}{100}\) m = 0.02 m
10 cm = \(\frac{10}{100}\) m = 0.10 m or 0.1 m
89 cm = \(\frac{89}{100}\) m = 0.89 m
Thus, 4 m 56 cm = 4\(\frac{56}{100}\) m = 4.56 m
18 m 8 cm = 18\(\frac{8}{100}\) m = 18.08 m
1000 m = 1 km
Therefore, 1 m = \(\frac{1}{1000}\) km = 0.001 m;
[One metre is one thousandth of a kilometre.]
Therefore, 8 m = \(\frac{8}{1000}\) km = 0.008 km
18 m = \(\frac{18}{1000}\) km = 0.018 km
356 m = \(\frac{356}{1000}\) km = 0.356 km
Thus, 9 km 426 m = 9\(\frac{426}{1000}\) km = 9.426 km
25 km 693 m = 25\(\frac{693}{1000}\) km = 25.693 km
Use of Decimals while Dealing with Weights:
1000 g = 1 kg
1 g = \(\frac{1}{1000}\) kg = 0.001 kg;
[One gram is one thousandth of a kilogram.]
For examples:
5 g = \(\frac{5}{1000}\) kg = 0.005 kg
49 g = \(\frac{49}{1000}\) kg = 0.049 kg
365 g = \(\frac{365}{1000}\) kg = 0.365 kg
Thus, 7 kg 118 g = 7\(\frac{118}{1000}\) kg
= 7.118 kg
20 kg 48 g = 20\(\frac{48}{1000}\) kg
= 20.048 kg
Use of Decimals while Dealing with Volumes:
1000 ml = 1 l
1 ml = \(\frac{1}{1000}\) l = 0.001 l;
[One millilitre is one thousandth of a litre.]
For examples:
6 ml = \(\frac{6}{1000}\) l = 0.006 l
28 ml = \(\frac{28}{1000}\) l = 0.028 l
146 ml = \(\frac{146}{1000}\) l = 0.146 l
Thus, 5 l 450 ml = 5\(\frac{450}{1000}\) l
= 5.450 l
19 l 32 ml = 19\(\frac{32}{1000}\) l
= 19.032 l
Questions and Answers on Uses of Decimals:
1. Write in decimals. (One has been done for you):
(i) 21 rupees 55 paise → 21.55 rupees
(ii) 250 rupees 5 paise → ....................
(iii) 3 cm 9 mm → ....................
(iv) 4 km 314 m → ....................
(v) 17 kg 50 g → ....................
(vi) 3 rupees 10 paise → ....................
(vii) 12 m 32 cm → ....................
(viii) 20 m 8 cm → ....................
(ix) 26 km 19 m → ....................
(x) 10 l 70 ml →....................
Answer:
1. (ii) 250.05 rupees
(iii) 3.9 cm
(iv) 4.314 km
(v) 17.05 kg
(vi) 3.10 rupees
(vii) 12.32 m
(viii) 20.08 m
(ix) 26.019 km
(x) 10.07 l
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