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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