Page 1 Objective Type Questions page: 7.32 Mark the correct alternative in each of the following: 1. 3/10 is equal to (a) 3.1 (b) 1.3 (c) 0.3 (d) 0.03 Solution: The option (c) is correct answer. We know that 3/10 = 0.3 Here the denominator is 10, so we have to mark the decimal where 3 is in the tenth place. 2. 7/100 is equal to (a) 7.1 (b) 7.01 (c) 0.7 (d) 0.07 Solution: The option (d) is correct answer. We know that 7/100 = 0.07 Here the denominator is 100, so we have to mark the decimal where 7 is in the hundredth place. 3. 4/1000 is equal to (a) 0.004 (b) 0.04 (c) 0.4 (d) 4.001 Solution: The option (a) is correct answer. Here the denominator is 1000, so we have to mark the decimal where 4 is in the thousandth place. 4. The value of 37/10000 is (a) 0.0370 (b) 0.0037 (c) 0.00037 (d) 0.000037 Solution: The option (b) is correct answer. Here the denominator is 10000, so we have to mark the decimal where 3 is in the thousandth place and 7 is in the ten-thousandth place. 5. The place value of 5 in 0.04532 is (a) 5 (b) 5/100 Page 2 Objective Type Questions page: 7.32 Mark the correct alternative in each of the following: 1. 3/10 is equal to (a) 3.1 (b) 1.3 (c) 0.3 (d) 0.03 Solution: The option (c) is correct answer. We know that 3/10 = 0.3 Here the denominator is 10, so we have to mark the decimal where 3 is in the tenth place. 2. 7/100 is equal to (a) 7.1 (b) 7.01 (c) 0.7 (d) 0.07 Solution: The option (d) is correct answer. We know that 7/100 = 0.07 Here the denominator is 100, so we have to mark the decimal where 7 is in the hundredth place. 3. 4/1000 is equal to (a) 0.004 (b) 0.04 (c) 0.4 (d) 4.001 Solution: The option (a) is correct answer. Here the denominator is 1000, so we have to mark the decimal where 4 is in the thousandth place. 4. The value of 37/10000 is (a) 0.0370 (b) 0.0037 (c) 0.00037 (d) 0.000037 Solution: The option (b) is correct answer. Here the denominator is 10000, so we have to mark the decimal where 3 is in the thousandth place and 7 is in the ten-thousandth place. 5. The place value of 5 in 0.04532 is (a) 5 (b) 5/100 (c) 5/1000 (d) 5/10000 Solution: The option (c) is correct answer. We know that 5 is in the thousandth place. So we get 0.04532 = 4/100 + 5/1000 + 3/10000 + 2/100000 6. The value of 231/1000 is (a) 0.231 (b) 2.31 (c) 23.1 (d) 0.0231 Solution: The option (a) is correct answer. It can be written as 231/1000 = (200+30+1)/1000 = 200/1000 + 30/1000 + 1/1000 = 2/10 + 3/100 + 1/1000 Here we have 2 tenths, 3 hundredths and 1 thousandth. Hence, the value of 231/1000 is 0.231. 7. The value of 3 5/1000 is (a) 3.5 (b) 3.05 (c) 3.005 (d) 3.0005 Solution: The option (c) is correct answer. It can be written as 3 5/1000 = 3 + 5/1000 = 3 + 0.005 = 3.005 8. The value of 3/25 is (a) 1.2 (b) 0.12 (c) 0.012 (d) None of these Solution: The option (b) is correct answer. It can be written as 3/25 = (3×4)/ (25×4) = 12/100 = 0.12 9. The value of 2 1/25 is (a) 2.4 (b) 2.25 (c) 2.04 (d) 2.40 Page 3 Objective Type Questions page: 7.32 Mark the correct alternative in each of the following: 1. 3/10 is equal to (a) 3.1 (b) 1.3 (c) 0.3 (d) 0.03 Solution: The option (c) is correct answer. We know that 3/10 = 0.3 Here the denominator is 10, so we have to mark the decimal where 3 is in the tenth place. 2. 7/100 is equal to (a) 7.1 (b) 7.01 (c) 0.7 (d) 0.07 Solution: The option (d) is correct answer. We know that 7/100 = 0.07 Here the denominator is 100, so we have to mark the decimal where 7 is in the hundredth place. 3. 4/1000 is equal to (a) 0.004 (b) 0.04 (c) 0.4 (d) 4.001 Solution: The option (a) is correct answer. Here the denominator is 1000, so we have to mark the decimal where 4 is in the thousandth place. 4. The value of 37/10000 is (a) 0.0370 (b) 0.0037 (c) 0.00037 (d) 0.000037 Solution: The option (b) is correct answer. Here the denominator is 10000, so we have to mark the decimal where 3 is in the thousandth place and 7 is in the ten-thousandth place. 5. The place value of 5 in 0.04532 is (a) 5 (b) 5/100 (c) 5/1000 (d) 5/10000 Solution: The option (c) is correct answer. We know that 5 is in the thousandth place. So we get 0.04532 = 4/100 + 5/1000 + 3/10000 + 2/100000 6. The value of 231/1000 is (a) 0.231 (b) 2.31 (c) 23.1 (d) 0.0231 Solution: The option (a) is correct answer. It can be written as 231/1000 = (200+30+1)/1000 = 200/1000 + 30/1000 + 1/1000 = 2/10 + 3/100 + 1/1000 Here we have 2 tenths, 3 hundredths and 1 thousandth. Hence, the value of 231/1000 is 0.231. 7. The value of 3 5/1000 is (a) 3.5 (b) 3.05 (c) 3.005 (d) 3.0005 Solution: The option (c) is correct answer. It can be written as 3 5/1000 = 3 + 5/1000 = 3 + 0.005 = 3.005 8. The value of 3/25 is (a) 1.2 (b) 0.12 (c) 0.012 (d) None of these Solution: The option (b) is correct answer. It can be written as 3/25 = (3×4)/ (25×4) = 12/100 = 0.12 9. The value of 2 1/25 is (a) 2.4 (b) 2.25 (c) 2.04 (d) 2.40 Solution: The option (c) is correct answer. It can be written as 2 1/25 = 2 + 1/25 = 2 + (1×4)/ (25×4) = 2 + 4/100 = 2 + 0.04 = 2.04 10. 4 7/8 is equal to (a) 4.78 (b) 4.87 (c) 4.875 (d) None of these Solution: The option (c) is correct answer. It can be written as 4 7/8 = 4 + 7/8 = 4 + (7×125)/ (8×125) On further calculation 4 7/8 = 4 + 875/1000 = 4 + 0.875 = 4.875 11. 2+3/10+5/100 is equal to (a) 2.305 (b) 2.3 (c) 2.35 (d) 0.235 Solution: The option (c) is correct answer. We know that 3/10 = 0.3 having denominator as 10, so we need to mark the decimal where 3 is in the tenth place 5/100= 0.05 having denominator as 100, so we need to mark the decimal where 5 is in the hundredth place It can be written as, 2 + 3/10 + 5/100 = 2+ 0.3 + 0.05 = 2.35 12. 3/100+5/10000 is equal to (a) 0.35 (b) 0.305 (c) 0.0305 (d) 0.3005 Solution: The option (c) is correct answer. We know that 3/100 = 0.03 having denominator 100, so we mark the decimal where 3 is in the hundredth place 5/10000 = 0.0005 having denominator 10000, so we mark the decimal where 5 is in the ten thousandth place It can be written as, 3/100 + 5/10000 = 0.03 + 0.0005 = 0.0305 13. 1 cm is equal is (a) 0.1 m (b) 0.01 m Page 4 Objective Type Questions page: 7.32 Mark the correct alternative in each of the following: 1. 3/10 is equal to (a) 3.1 (b) 1.3 (c) 0.3 (d) 0.03 Solution: The option (c) is correct answer. We know that 3/10 = 0.3 Here the denominator is 10, so we have to mark the decimal where 3 is in the tenth place. 2. 7/100 is equal to (a) 7.1 (b) 7.01 (c) 0.7 (d) 0.07 Solution: The option (d) is correct answer. We know that 7/100 = 0.07 Here the denominator is 100, so we have to mark the decimal where 7 is in the hundredth place. 3. 4/1000 is equal to (a) 0.004 (b) 0.04 (c) 0.4 (d) 4.001 Solution: The option (a) is correct answer. Here the denominator is 1000, so we have to mark the decimal where 4 is in the thousandth place. 4. The value of 37/10000 is (a) 0.0370 (b) 0.0037 (c) 0.00037 (d) 0.000037 Solution: The option (b) is correct answer. Here the denominator is 10000, so we have to mark the decimal where 3 is in the thousandth place and 7 is in the ten-thousandth place. 5. The place value of 5 in 0.04532 is (a) 5 (b) 5/100 (c) 5/1000 (d) 5/10000 Solution: The option (c) is correct answer. We know that 5 is in the thousandth place. So we get 0.04532 = 4/100 + 5/1000 + 3/10000 + 2/100000 6. The value of 231/1000 is (a) 0.231 (b) 2.31 (c) 23.1 (d) 0.0231 Solution: The option (a) is correct answer. It can be written as 231/1000 = (200+30+1)/1000 = 200/1000 + 30/1000 + 1/1000 = 2/10 + 3/100 + 1/1000 Here we have 2 tenths, 3 hundredths and 1 thousandth. Hence, the value of 231/1000 is 0.231. 7. The value of 3 5/1000 is (a) 3.5 (b) 3.05 (c) 3.005 (d) 3.0005 Solution: The option (c) is correct answer. It can be written as 3 5/1000 = 3 + 5/1000 = 3 + 0.005 = 3.005 8. The value of 3/25 is (a) 1.2 (b) 0.12 (c) 0.012 (d) None of these Solution: The option (b) is correct answer. It can be written as 3/25 = (3×4)/ (25×4) = 12/100 = 0.12 9. The value of 2 1/25 is (a) 2.4 (b) 2.25 (c) 2.04 (d) 2.40 Solution: The option (c) is correct answer. It can be written as 2 1/25 = 2 + 1/25 = 2 + (1×4)/ (25×4) = 2 + 4/100 = 2 + 0.04 = 2.04 10. 4 7/8 is equal to (a) 4.78 (b) 4.87 (c) 4.875 (d) None of these Solution: The option (c) is correct answer. It can be written as 4 7/8 = 4 + 7/8 = 4 + (7×125)/ (8×125) On further calculation 4 7/8 = 4 + 875/1000 = 4 + 0.875 = 4.875 11. 2+3/10+5/100 is equal to (a) 2.305 (b) 2.3 (c) 2.35 (d) 0.235 Solution: The option (c) is correct answer. We know that 3/10 = 0.3 having denominator as 10, so we need to mark the decimal where 3 is in the tenth place 5/100= 0.05 having denominator as 100, so we need to mark the decimal where 5 is in the hundredth place It can be written as, 2 + 3/10 + 5/100 = 2+ 0.3 + 0.05 = 2.35 12. 3/100+5/10000 is equal to (a) 0.35 (b) 0.305 (c) 0.0305 (d) 0.3005 Solution: The option (c) is correct answer. We know that 3/100 = 0.03 having denominator 100, so we mark the decimal where 3 is in the hundredth place 5/10000 = 0.0005 having denominator 10000, so we mark the decimal where 5 is in the ten thousandth place It can be written as, 3/100 + 5/10000 = 0.03 + 0.0005 = 0.0305 13. 1 cm is equal is (a) 0.1 m (b) 0.01 m (c) 0.10 m (d) 0.001 m Solution: The option (b) is correct answer. 100 cm = 1 m So we get, 1 cm = 1/100 m = 0.01 m 14. 1 m is equal to (a) 0.1 km (b) 0.01 km (c) 0.001 km (d) 0.0001 km Solution: The option (c) is correct answer. 1000 m = 1 km So we get, 1 m = 1/1000 m = 0.001 km 15. 2 kg 5 gm is equal to (a) 2.5 kg (b) 2.05 kg (c) 2.005 kg (d) 2.6 kg Solution: The option (c) is correct answer. 1000 g = 1 kg So we get 1 g = 1/1000 kg = 0.001 kg The same way 5 g = 5/1000 kg = 0.005 kg Hence, 2 kg 5 gm =2 kg + 0.005 kg = 2.005 kg 16. 15 litres and 15 ml is equal to (a) 15.15 litres (b) 15.150 litres (c) 15.0015 litres (d) 15.015 litres Solution: The option (d) is correct answer. 1000 ml = 1 litre So we get 1 ml = 1/1000 = 0.001 litre The same way 15 ml = 15/1000 = 0.015 litre Hence, 15 litre and 15 ml = 15 litre + 0.015 litre = 15.015 litres 17. Which of the following are like decimals? (a) 5.5, 5.05, 5.005, 5.50 (b) 5.5, 0.55, 5.55, 5.555 Page 5 Objective Type Questions page: 7.32 Mark the correct alternative in each of the following: 1. 3/10 is equal to (a) 3.1 (b) 1.3 (c) 0.3 (d) 0.03 Solution: The option (c) is correct answer. We know that 3/10 = 0.3 Here the denominator is 10, so we have to mark the decimal where 3 is in the tenth place. 2. 7/100 is equal to (a) 7.1 (b) 7.01 (c) 0.7 (d) 0.07 Solution: The option (d) is correct answer. We know that 7/100 = 0.07 Here the denominator is 100, so we have to mark the decimal where 7 is in the hundredth place. 3. 4/1000 is equal to (a) 0.004 (b) 0.04 (c) 0.4 (d) 4.001 Solution: The option (a) is correct answer. Here the denominator is 1000, so we have to mark the decimal where 4 is in the thousandth place. 4. The value of 37/10000 is (a) 0.0370 (b) 0.0037 (c) 0.00037 (d) 0.000037 Solution: The option (b) is correct answer. Here the denominator is 10000, so we have to mark the decimal where 3 is in the thousandth place and 7 is in the ten-thousandth place. 5. The place value of 5 in 0.04532 is (a) 5 (b) 5/100 (c) 5/1000 (d) 5/10000 Solution: The option (c) is correct answer. We know that 5 is in the thousandth place. So we get 0.04532 = 4/100 + 5/1000 + 3/10000 + 2/100000 6. The value of 231/1000 is (a) 0.231 (b) 2.31 (c) 23.1 (d) 0.0231 Solution: The option (a) is correct answer. It can be written as 231/1000 = (200+30+1)/1000 = 200/1000 + 30/1000 + 1/1000 = 2/10 + 3/100 + 1/1000 Here we have 2 tenths, 3 hundredths and 1 thousandth. Hence, the value of 231/1000 is 0.231. 7. The value of 3 5/1000 is (a) 3.5 (b) 3.05 (c) 3.005 (d) 3.0005 Solution: The option (c) is correct answer. It can be written as 3 5/1000 = 3 + 5/1000 = 3 + 0.005 = 3.005 8. The value of 3/25 is (a) 1.2 (b) 0.12 (c) 0.012 (d) None of these Solution: The option (b) is correct answer. It can be written as 3/25 = (3×4)/ (25×4) = 12/100 = 0.12 9. The value of 2 1/25 is (a) 2.4 (b) 2.25 (c) 2.04 (d) 2.40 Solution: The option (c) is correct answer. It can be written as 2 1/25 = 2 + 1/25 = 2 + (1×4)/ (25×4) = 2 + 4/100 = 2 + 0.04 = 2.04 10. 4 7/8 is equal to (a) 4.78 (b) 4.87 (c) 4.875 (d) None of these Solution: The option (c) is correct answer. It can be written as 4 7/8 = 4 + 7/8 = 4 + (7×125)/ (8×125) On further calculation 4 7/8 = 4 + 875/1000 = 4 + 0.875 = 4.875 11. 2+3/10+5/100 is equal to (a) 2.305 (b) 2.3 (c) 2.35 (d) 0.235 Solution: The option (c) is correct answer. We know that 3/10 = 0.3 having denominator as 10, so we need to mark the decimal where 3 is in the tenth place 5/100= 0.05 having denominator as 100, so we need to mark the decimal where 5 is in the hundredth place It can be written as, 2 + 3/10 + 5/100 = 2+ 0.3 + 0.05 = 2.35 12. 3/100+5/10000 is equal to (a) 0.35 (b) 0.305 (c) 0.0305 (d) 0.3005 Solution: The option (c) is correct answer. We know that 3/100 = 0.03 having denominator 100, so we mark the decimal where 3 is in the hundredth place 5/10000 = 0.0005 having denominator 10000, so we mark the decimal where 5 is in the ten thousandth place It can be written as, 3/100 + 5/10000 = 0.03 + 0.0005 = 0.0305 13. 1 cm is equal is (a) 0.1 m (b) 0.01 m (c) 0.10 m (d) 0.001 m Solution: The option (b) is correct answer. 100 cm = 1 m So we get, 1 cm = 1/100 m = 0.01 m 14. 1 m is equal to (a) 0.1 km (b) 0.01 km (c) 0.001 km (d) 0.0001 km Solution: The option (c) is correct answer. 1000 m = 1 km So we get, 1 m = 1/1000 m = 0.001 km 15. 2 kg 5 gm is equal to (a) 2.5 kg (b) 2.05 kg (c) 2.005 kg (d) 2.6 kg Solution: The option (c) is correct answer. 1000 g = 1 kg So we get 1 g = 1/1000 kg = 0.001 kg The same way 5 g = 5/1000 kg = 0.005 kg Hence, 2 kg 5 gm =2 kg + 0.005 kg = 2.005 kg 16. 15 litres and 15 ml is equal to (a) 15.15 litres (b) 15.150 litres (c) 15.0015 litres (d) 15.015 litres Solution: The option (d) is correct answer. 1000 ml = 1 litre So we get 1 ml = 1/1000 = 0.001 litre The same way 15 ml = 15/1000 = 0.015 litre Hence, 15 litre and 15 ml = 15 litre + 0.015 litre = 15.015 litres 17. Which of the following are like decimals? (a) 5.5, 5.05, 5.005, 5.50 (b) 5.5, 0.55, 5.55, 5.555 (c) 5.5, 6.6, 7.7, 8.8 (d) 0.5, 0.56, 0.567, 0.5678 Solution: The option (c) is correct answer. 5.5. 6.6, 7.7, 8.8 are like decimals having same number of decimals. 18. The value of 0.5 + 0.005 + 5.05 is (a) 5.55 (b) 5.555 (c) 5.055 (d) 5.550 Solution: The option (b) is correct answer. 0.5 + 0.005 + 5.05 = 5.555 19. 0.35 - 0.035 is equal to (a) 0.3 (b) 0.349 (c) 0.315 (d) 0.353 Solution: The option (c) is correct answer. 0.35 – 0.035 = 0.315 20. 2.5 + 3.05 - 4.005 is equal to (a) 1.545 (b) 1.455 (c) 1.554 (d) 0.545 Solution: The option (a) is correct answer. 2.5 + 3.05 - 4.005 = 5.55 - 4.005 = 1.545 21. Which is greater among 2.3, 2.03, 2.33, 2.05? (a) 2.3 (b) 2.03 (c) 2.33 (d) 2.05 Solution: The option (c) is correct answer. We know that the whole parts of all the above numbers are equal. So by comparing the tenth parts, two of the decimals have a tenth part 0 and two have a tenth part 3. Now by leaving the decimals which have a tenth part 0, 2.3 and 2.33. By comparing them, 2.33 is greater than 2.3, where, 2.3 has no hundredth part, while 2.33, the hundredth part is 3.Read More

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