(a) 5 paise
(b) 75 paise
(c) 20 paise
(d) 50 rupees 90 paise
(e) 725 paise
Solutions:
We know that there are 100 paise in 1 rupee.
(a) 5 paise = \(5 \over 100\) rupees = Rupess 0.05
(b) 75 paise =\(75 \over 100\) rupees = Rupees 0.75
(c) 20 paise = \(20 \over 100\) rupees = Rupees 0.20
(d) 50 rupees 90 paise = \([(50 + {90 \over 100})]\) rupees = Rupees 50.90
(e) 725 paise = \(725 \over 100\) rupees = Rupees 7.25
2. Express as metres using decimals.
(a) 15 cm
(b) 6 cm
(c) 2 m 45 cm
(d) 9 m 7 cm
(e) 419 cm
Solutions:
We know that there are 100 cm in 1 metre
(a) 15 cm = \(15 \over 100\) m = 0.15 m
(b) 6 cm = \(6 \over 100\) m = 0.06 m
(c) 2 m 45 cm = [(2 + \(45 \over 100\))] m = 2.45 m
(d) 9 m 7 cm = [(9 + \(7 \over 100\))] m = 9.07 m
(e) 419 cm = \(419 \over 100\) m = 4.19 m
3. Express as cm using decimals
(a) 5 mm
(b) 60 mm
(c) 164 mm
(d) 9 cm 8 mm
(e) 93 mm
Solutions:
We know that there are 10 mm in 1 cm.
(a) 5 mm = \(5 \over 10\) cm = 0.5 cm
(b) 60 mm = \(60 \over 10\) cm = 6.0 cm
(c) 164 mm = \(164 \over 10\) cm = 16.4 cm
(d) 9 cm 8 mm = [(9 + \(8 \over 10\))] cm = 9.8 cm
(e) 93 mm = \(93 \over 10\) cm = 9.3 cm
4. Express as km using decimals.
(a) 8 m
(b) 88 m
(c) 8888 m
(d) 70 km 5 m
Solutions:
We know that there are 1000 metres in 1 km.
(a) 8 m = \(8 \over 1000\) km = 0.008 km
(b) 88 m = \(88 \over 1000\) km = 0.088 km
(c) 8888 m = \(8888 \over 1000\) km = 8.888 km
(d) 70 km 5 m = [(70 + \(5 \over 1000\))] km = 70.005 km
5. Express as kg using decimals.
(a) 2 g
(b) 100 g
(c) 3750 g
(d) 5 kg 8 g
(e) 26 kg 50 g
Solutions:
We know that there are 1000 grams in 1 kg.
(a) 2 g = \(2 \over 1000\) kg = 0.002 kg
(b) 100 g = \(100 \over 1000\) kg = 0.1 kg
(c) 3750 g = \(3750 \over 1000\) kg = 3.750 kg
(d) 5 kg 8 g = [(5 + \(8 \over 1000\))] kg = 5.008 kg
(e) 26 kg 50 g = [(26 + \(50 \over 1000\))] kg = 26.050 kg
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