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Question

# Express each of the following without using decimals: (i) Rs 5.25 (ii) 8.354 kg (iii) 3.5 cm (iv) 3.05 km (v) 7.54 m (vi) 15.005 kg (vii) 12.05 m (viii) 0.2 cm

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Solution

## (i) Rs 5.25 We know that 100 paisa = 1 rupee. So, 1 paisa = 1/100 rupee. Therefore, Rs 5.25 = 5 + 0.25 = $5+\frac{25}{100}$ = Rs 5 and 25 paisa (ii) 8.354 kg We know that 1000 g = 1 kg. So, 1 g = 1/1000 kg. Therefore, 8.354 = 8+ 0.354 = $8+\frac{354}{1000}$ = 8 kg 354 g (iii) 3.5 cm We know that 10 mm = 1 cm. So, 1 mm = 1/10 cm. Therefore, 3.5= 3+ 0.5 = $3+\frac{5}{10}$ = 3 cm and 5 mm (iv) 3.05 km We know that 1000 m = 1 km. Therefore, 3.05 = 3+ .05 = 3+ 5/100 = 3+ 50/1000 km = 3 km and 50 m (v) 7.54 m We know that 100 cm = 1 m. Therefore, 7.54 = 7+ 0.54 = 7+ 54/100 = 7 m and 54 cm (vi) 15.005 kg We know that 1 kg = 1000 g. Therefore, 15.005= 15 + 0.005 = 15+ 5/1000 = 15 kg and 5 g (vii) 12.05 m We know that 1 m = 100 cm. Therefore, 12.05 = 12 +.05 = 12 + 5/100 = 12 m and 5 cm (viii) 0.2 cm We know that 1 cm = 10 mm. Therefore, 0.2 = 2/10 = 2 mm

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