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Page 1 Exercise 7.6 page: 7.24 1. Express as Rupees (Rs) using decimals: (i) 15 paisa (ii) 5 paisa (iii) 350 paisa (iv) 2 rupees 60 paisa Solution: (i) 15 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 15 paisa = 15/100 We get 15 paisa = Rs 0.15 (ii) 5 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 5 paisa = 5/100 We get 5 paisa = Rs 0.05 (iii) 350 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 350 paisa = 350/100 We get 350 paisa = Rs 3.50 (iv) 2 rupees 60 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 2 rupees 60 paisa = 2 + 60/100 We get 2 rupees 60 paisa = Rs 2.60 2. Express as metres (m) using decimals: (i) 15 cm (ii) 8 cm (iii) 135 cm (iv) 3 m 65 cm Solution: (i) 15 cm We know that 100 cm = 1 m Page 2 Exercise 7.6 page: 7.24 1. Express as Rupees (Rs) using decimals: (i) 15 paisa (ii) 5 paisa (iii) 350 paisa (iv) 2 rupees 60 paisa Solution: (i) 15 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 15 paisa = 15/100 We get 15 paisa = Rs 0.15 (ii) 5 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 5 paisa = 5/100 We get 5 paisa = Rs 0.05 (iii) 350 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 350 paisa = 350/100 We get 350 paisa = Rs 3.50 (iv) 2 rupees 60 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 2 rupees 60 paisa = 2 + 60/100 We get 2 rupees 60 paisa = Rs 2.60 2. Express as metres (m) using decimals: (i) 15 cm (ii) 8 cm (iii) 135 cm (iv) 3 m 65 cm Solution: (i) 15 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 15 cm = 15 (1/100) We get 15 cm = 0.15 m (ii) 8 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 8 cm = 8 (1/100) We get 8 cm = 0.08 m (iii) 135 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 135 cm = 135 (1/100) We get 135 cm = 1.35 m (iv) 3 m 65 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 3 m 65 cm = 3 + 65 (1/100) We get 3 m 65 cm = 3.65 m 3. Express as centimeter (cm) using decimals: (i) 5 mm (ii) 60 mm (iii) 175 mm (iv) 4 cm 5 mm Solution: (i) 5 mm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 5 mm = 5/10 We get 5 mm = 0.5 cm (ii) 60 mm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 60 mm = 60/10 Page 3 Exercise 7.6 page: 7.24 1. Express as Rupees (Rs) using decimals: (i) 15 paisa (ii) 5 paisa (iii) 350 paisa (iv) 2 rupees 60 paisa Solution: (i) 15 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 15 paisa = 15/100 We get 15 paisa = Rs 0.15 (ii) 5 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 5 paisa = 5/100 We get 5 paisa = Rs 0.05 (iii) 350 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 350 paisa = 350/100 We get 350 paisa = Rs 3.50 (iv) 2 rupees 60 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 2 rupees 60 paisa = 2 + 60/100 We get 2 rupees 60 paisa = Rs 2.60 2. Express as metres (m) using decimals: (i) 15 cm (ii) 8 cm (iii) 135 cm (iv) 3 m 65 cm Solution: (i) 15 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 15 cm = 15 (1/100) We get 15 cm = 0.15 m (ii) 8 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 8 cm = 8 (1/100) We get 8 cm = 0.08 m (iii) 135 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 135 cm = 135 (1/100) We get 135 cm = 1.35 m (iv) 3 m 65 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 3 m 65 cm = 3 + 65 (1/100) We get 3 m 65 cm = 3.65 m 3. Express as centimeter (cm) using decimals: (i) 5 mm (ii) 60 mm (iii) 175 mm (iv) 4 cm 5 mm Solution: (i) 5 mm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 5 mm = 5/10 We get 5 mm = 0.5 cm (ii) 60 mm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 60 mm = 60/10 We get 60 mm = 6 cm (iii) 175 mm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 175 mm = 175/10 We get 175 mm = 17.5 cm (iv) 4 cm 5 mm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 4 cm 5 mm = 4 + 5/10 We get 4 cm 5 mm = 4.5 cm 4. Express as kilometer (km) using decimals: (i) 5 m (ii) 55 m (iii) 555 m (iv) 5555 m (v) 15 km 35 m Solution: (i) 5 m We know that 1000 m = 1 km So we get 1 m = 1/1000 km It can be written as 5 m = 5/1000 km We get 5 m = 0.005 km (ii) 55 m We know that 1000 m = 1 km So we get 1 m = 1/1000 km It can be written as 55 m = 55/1000 km We get 55 m = 0.055 km (iii) 555 m We know that 1000 m = 1 km So we get 1 m = 1/1000 km It can be written as 555 m = 555/1000 km We get 555 m = 0.555 km Page 4 Exercise 7.6 page: 7.24 1. Express as Rupees (Rs) using decimals: (i) 15 paisa (ii) 5 paisa (iii) 350 paisa (iv) 2 rupees 60 paisa Solution: (i) 15 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 15 paisa = 15/100 We get 15 paisa = Rs 0.15 (ii) 5 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 5 paisa = 5/100 We get 5 paisa = Rs 0.05 (iii) 350 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 350 paisa = 350/100 We get 350 paisa = Rs 3.50 (iv) 2 rupees 60 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 2 rupees 60 paisa = 2 + 60/100 We get 2 rupees 60 paisa = Rs 2.60 2. Express as metres (m) using decimals: (i) 15 cm (ii) 8 cm (iii) 135 cm (iv) 3 m 65 cm Solution: (i) 15 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 15 cm = 15 (1/100) We get 15 cm = 0.15 m (ii) 8 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 8 cm = 8 (1/100) We get 8 cm = 0.08 m (iii) 135 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 135 cm = 135 (1/100) We get 135 cm = 1.35 m (iv) 3 m 65 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 3 m 65 cm = 3 + 65 (1/100) We get 3 m 65 cm = 3.65 m 3. Express as centimeter (cm) using decimals: (i) 5 mm (ii) 60 mm (iii) 175 mm (iv) 4 cm 5 mm Solution: (i) 5 mm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 5 mm = 5/10 We get 5 mm = 0.5 cm (ii) 60 mm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 60 mm = 60/10 We get 60 mm = 6 cm (iii) 175 mm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 175 mm = 175/10 We get 175 mm = 17.5 cm (iv) 4 cm 5 mm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 4 cm 5 mm = 4 + 5/10 We get 4 cm 5 mm = 4.5 cm 4. Express as kilometer (km) using decimals: (i) 5 m (ii) 55 m (iii) 555 m (iv) 5555 m (v) 15 km 35 m Solution: (i) 5 m We know that 1000 m = 1 km So we get 1 m = 1/1000 km It can be written as 5 m = 5/1000 km We get 5 m = 0.005 km (ii) 55 m We know that 1000 m = 1 km So we get 1 m = 1/1000 km It can be written as 55 m = 55/1000 km We get 55 m = 0.055 km (iii) 555 m We know that 1000 m = 1 km So we get 1 m = 1/1000 km It can be written as 555 m = 555/1000 km We get 555 m = 0.555 km (iv) 5555 m We know that 1000 m = 1 km So we get 1 m = 1/1000 km It can be written as 5555 m = 5555/1000 km We get 5555 m = 5.555 km (v) 15 km 35 m We know that 1000 m = 1 km So we get 1 m = 1/1000 km It can be written as 15 km 35 m = 15 + 35/1000 km We get 15 km 35 m = 15.035 km 5. Express as kilogram (kg) using decimals: (i) 8 g (ii) 150 g (iii) 2750 g (iv) 5 kg 750 g (v) 36 kg 50 g Solution: (i) 8 g We know that 1000 g = 1 kg So we get 1 g = 1/1000 kg It can be written as 8 g = 8/1000 We get 8 g = 0.008 kg (ii) 150 g We know that 1000 g = 1 kg So we get 1 g = 1/1000 kg It can be written as 150 g = 150/1000 We get 150 g = 0.150 kg (iii) 2750 g We know that 1000 g = 1 kg So we get 1 g = 1/1000 kg It can be written as 2750 g = 2750/1000 We get 2750 g = 2.750 kg (iv) 5 kg 750 g We know that 1000 g = 1 kg Page 5 Exercise 7.6 page: 7.24 1. Express as Rupees (Rs) using decimals: (i) 15 paisa (ii) 5 paisa (iii) 350 paisa (iv) 2 rupees 60 paisa Solution: (i) 15 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 15 paisa = 15/100 We get 15 paisa = Rs 0.15 (ii) 5 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 5 paisa = 5/100 We get 5 paisa = Rs 0.05 (iii) 350 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 350 paisa = 350/100 We get 350 paisa = Rs 3.50 (iv) 2 rupees 60 paisa We know that 100 paisa = Rs 1 So we get 1 paisa = Rs 1/100 It can be written as 2 rupees 60 paisa = 2 + 60/100 We get 2 rupees 60 paisa = Rs 2.60 2. Express as metres (m) using decimals: (i) 15 cm (ii) 8 cm (iii) 135 cm (iv) 3 m 65 cm Solution: (i) 15 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 15 cm = 15 (1/100) We get 15 cm = 0.15 m (ii) 8 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 8 cm = 8 (1/100) We get 8 cm = 0.08 m (iii) 135 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 135 cm = 135 (1/100) We get 135 cm = 1.35 m (iv) 3 m 65 cm We know that 100 cm = 1 m So we get 1 cm = 1/100 m It can be written as 3 m 65 cm = 3 + 65 (1/100) We get 3 m 65 cm = 3.65 m 3. Express as centimeter (cm) using decimals: (i) 5 mm (ii) 60 mm (iii) 175 mm (iv) 4 cm 5 mm Solution: (i) 5 mm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 5 mm = 5/10 We get 5 mm = 0.5 cm (ii) 60 mm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 60 mm = 60/10 We get 60 mm = 6 cm (iii) 175 mm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 175 mm = 175/10 We get 175 mm = 17.5 cm (iv) 4 cm 5 mm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 4 cm 5 mm = 4 + 5/10 We get 4 cm 5 mm = 4.5 cm 4. Express as kilometer (km) using decimals: (i) 5 m (ii) 55 m (iii) 555 m (iv) 5555 m (v) 15 km 35 m Solution: (i) 5 m We know that 1000 m = 1 km So we get 1 m = 1/1000 km It can be written as 5 m = 5/1000 km We get 5 m = 0.005 km (ii) 55 m We know that 1000 m = 1 km So we get 1 m = 1/1000 km It can be written as 55 m = 55/1000 km We get 55 m = 0.055 km (iii) 555 m We know that 1000 m = 1 km So we get 1 m = 1/1000 km It can be written as 555 m = 555/1000 km We get 555 m = 0.555 km (iv) 5555 m We know that 1000 m = 1 km So we get 1 m = 1/1000 km It can be written as 5555 m = 5555/1000 km We get 5555 m = 5.555 km (v) 15 km 35 m We know that 1000 m = 1 km So we get 1 m = 1/1000 km It can be written as 15 km 35 m = 15 + 35/1000 km We get 15 km 35 m = 15.035 km 5. Express as kilogram (kg) using decimals: (i) 8 g (ii) 150 g (iii) 2750 g (iv) 5 kg 750 g (v) 36 kg 50 g Solution: (i) 8 g We know that 1000 g = 1 kg So we get 1 g = 1/1000 kg It can be written as 8 g = 8/1000 We get 8 g = 0.008 kg (ii) 150 g We know that 1000 g = 1 kg So we get 1 g = 1/1000 kg It can be written as 150 g = 150/1000 We get 150 g = 0.150 kg (iii) 2750 g We know that 1000 g = 1 kg So we get 1 g = 1/1000 kg It can be written as 2750 g = 2750/1000 We get 2750 g = 2.750 kg (iv) 5 kg 750 g We know that 1000 g = 1 kg So we get 1 g = 1/1000 kg It can be written as 5 kg 750 g = 5 + 750/1000 We get 5 kg 750 g = 5.750 kg (v) 36 kg 50 g We know that 1000 g = 1 kg So we get 1 g = 1/1000 kg It can be written as 36 kg 50 g = 36 + 50/1000 We get 36 kg 50 g = 36.050 kg 6. 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 Solution: (i) Rs 5.25 We know that 100 paisa = 1 rupee So we get 1 paisa = 1/100 rupee It can be written as Rs 5.25 = 5 + 25/100 We get Rs 5.25 = 5 + 1/4 On further calculation Rs 5.25 = Rs 21/4 (ii) 8.354 kg We know that 1000 g = 1 kg So we get 1 g = 1/1000 kg It can be written as 8.354 kg = 8354/1000 kg (iii) 3.5 cm We know that 10 mm = 1 cm So we get 1 mm = 1/10 cm It can be written as 3.5 cm = 3 + 5/10 On further calculation 3.5 cm = 3 + 1/2 We get 3.5 cm = 7/2 cmRead More
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