We

will study makes use of decimals in daily. In each day life we use decimals whereas

coping with **size**, **weight**, **quantity, cash** and many others.

**Use of Decimals whereas Coping with Cash:**

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 learn 6.45 rupees as six rupees 45 paise

16.25 rupees as sixteen rupees 25 paise

**Use of Decimals whereas Coping with Lengths:**

10 mm = 1 cm

Subsequently, 1 mm = (frac{1}{10}) cm = 0.1 cm;

[One millimetre is one tenth of a centimetre.]

Subsequently, 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 all 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

Subsequently, 1 m = (frac{1}{1000}) km = 0.001 m;

[One metre is one thousandth of a kilometre.]

Subsequently, 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 whereas Coping 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 whereas Coping 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 Solutions on Makes use of of Decimals:**

**1. Write in decimals. (One has been performed for you):**

(i) 21 rupees 55 paise → 21.55 rupees

(ii) 250 rupees 5 paise → ………………..

(iii) 3 cm 99 mm → ………………..

(iv) 4 km 314 mm → ………………..

(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 →………………..

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