RS Aggarwal 2021-2022 for Class 6 Maths Solutions Chapter 7- Decimal
RS Aggarwal Class 6 Math Solution Chapter 7- Decimal Exercise 7E is available here. RS Aggarwal Class 6 Math Solutions are solved by expert teachers in step by step, which help the students to understand easily. RS Aggarwal textbooks are responsible for a strong foundation in Maths. These textbook solutions help students in exams as well as their daily homework routine. The solutions included are easy to understand, and each step in the solution is described to match the students’ understanding.
Rs Aggarwal Class 6 Math Solution Chapter 7- Decimal
Exercise 7E
OBJECTIVE QUESTIONS
Marks (✓ ) against the correct answer in each of the following:
1. `frac\{7}{10}` = ?
(a) 7.1
(b) 1.7
(c) 0.7
(d) 0.07
Solution: The correct option is (c) 0.7
`frac\{7}{10}` = 7 tenths = 0.7
2. `frac\{5}{100}` = ?
(a) 5.1
(b) 5.01
(c) 0.5
(d) 0.05
Solution: The correct option is (d) 0.05
`frac\{5}{100}` = 5 hundredths = 0.05
3. `frac\{9}{1000}` = ?
(a) 0.0009
(b) 0.009
(c) 9.001
(d) none of these
Solution: The correct option is (b) 0.009
`frac\{9}{1000}` = 9 thousandths = 0.009
4. `frac\{16}{1000}` = ?
. (a) 0.016
(b) 0.16
(c) 0.0016
(d) 1.006
Solution: The correct option is (a) 0.016
`frac\{16}{1000}` = 16 thousandths = 0.016
5. `frac\{134}{1000}` = ?
(a) 13.4
(b) 1.34
(c) 0.134
(d)0.0134
Solution: The correct option is (c) 0.134
`frac\{134}{1000}` = 134 thousandths = 0.134
6. 2`frac\{17}{100}` = ?
(a) 2.17
(b) 2.017
(c) 0.217
(d) 21.7
Solution: The correct option is (a) 2.17
2`frac\{17}{100}` = 2 + `frac\{17}{100}` = 2 + 0.17 = 2.17
7. 4`frac\{3}{100}` = ?
(a) 4.3
(b) 4.03
(c) 4.003
(d) 43.10
Solution: The correct option is (b) 4.03
4`frac\{3}{100}` = 4 + `frac\{3}{100}` = 4 + 0.03 = 4.03
8. 6.25 = ?
(a) 6`frac\{1}{2}`
(b) 6`frac\{1}{4}`
(c) 62`frac\{1}{2}`
(d) none of these
Solution: The correct option is (b) 6`frac\{1}{4}`
6.25 = 6 + 0.25 = 6 + `frac\{cancel 25^1}{cancel 100^4}` = 6 + `frac\{1}{4}` = 6`frac\{1}{4}`
9. `frac\{6}{25}` = ?
(a) 2.4
(b) 0.24
(c) 0.024
(d) none of these
Solution: The correct option is (b) 0.24
`frac\{6}{25}` = 0.24
25) 60 (0.24
−50
100
− 100
0
10. 4`frac\{7}{8}` = ?
(a) 4.78
(b) 4.87
(c) 4.875
(d) none of these
Solution: The correct option is (c) 4.875
4`frac\{7}{8}` = 4 + `frac\{7}{8}` = 4 + 0.875 = 4.875
11. 24.8 = ?
(a) 24`frac\{4}{5}`
(b) 24`frac\{2}{5}`
(c) 24`frac\{1}{5}`
(d) none of these
Solution: The correct option is (a) 24`frac\{4}{5}`
24.8 = 24 + 0.8 = 24 + `frac\{cancel 8^4}{cancel 10^5}` = 24 + `frac\{4}{5}` = 24`frac\{4}{5}`
12. 2`frac\{1}{25}` = ?
(a) 2.4
(b) 2.04
(c) 2.004
(d) none of these
Solution: The correct option is (b) 2.04
2`frac\{1}{25}` = 2 + `frac\{1}{25}` = 2 + 0.04 = 2.04
13. 2 + `frac\{3}{10}` + `frac\{4}{100}` = ?
(a) 2.304
(b) 2.403
(c) 2.34
(d) none of these
Solution: The correct option is (c) 2.34
2 + `frac\{3}{10}` + `frac\{4}{100}` = 2 + 0.3 + 0.04 = 2.34
14. 2 + `frac\{6}{100}` = ?
(a) 2.006
(b) 2.06
(c) 2.6
(d) none of these
Solution: The correct option is (b) 2.06
2 + `frac\{6}{100}` = 2 + 0.06 = 2.06
15. `frac\{4}{100}` + `frac\{7}{10000}` = ?
(a) 0.47
(b) 0.407
(c) 0.0407
(d) none of these
Solution: The correct option is (c) 0.0407
`frac\{4}{100}` + `frac\{7}{10000}` = 0.04 + 0.0007 = 0.0407
16. The correct expanded form of 2.06 is
(a) (2 × 10) + `(6 × frac\{1}{10})`
(b) (2 × 1) + `(6 × frac\{1}{10})`
(c) (2 × 10) + `(6 × frac\{1}{100})`
(d) none of these
Solution: The correct option is (c) (2 × 10) + `(6 × frac\{1}{100})`
2.06 = 2 + `frac\{6}{100}` = (2 × 10) + `(6 × frac\{1}{100})`
17. Among 2.6, 2.006, 2.66 and 2.08, the largest number is
(a) 2.006
(b) 2.08
(c) 2.6
(d) 2.66
Solution: The correct option is (d) 2.66
Converting the given decimals into like decimals:
2.600, 2.006, 2.660 and 2.080
Among the given decimals, 2.660 is the largest.
18. Which of the following is the correct order?
(a) 2.2 < 2.02 < 2.002 < 2.222
(b) 2.002 < 2.02 < 2.2 < 2.222
(c) 2.02 < 2.22 < 2.002 < 2.222
Solution: The correct option is (b) 2.002 < 2.02 < 2.2 < 2.222
Converting the given decimals into like decimals:
2.002, 2.020, 2.200, 2.222
∴ 2.002 < 2.02 < 2.2 < 2.222
19. Which is larger: 2.1 or 2.055?
(a) 2.1
(b) 2.005
(c) not be compared
Solution: The correct option is (a) 2.1
If we convert the given decimals into like decimals, we get 2.100 and 2.055.
At tenths place, 1 is greater than 0. Thus, 2.100 is greater than 2.055.
20. 1 cm ?
(a) 0.1 m
(b) 0.01 m
(c) 0.001 m
(d) none of these
Solution: The correct option is (b) 0.01 m
1 m = 100 cm
∴ 1 cm = `frac\{1}{100}`m = 0.01 m
21. 2 m 5 cm = ?
(a) 2.5 cm
(b) 2.05 m
(c) 2.005 m
(d) 0.25 m
Solution: The correct option is (b) 2.05 m
2 m 5 cm = 2 + `frac\{5}{100}` m = 2 + 0.05 m = 2.05 m
22. 2 kg 8 g = ?
(a) 2.8 kg
(b) 2.08 kg
(c) 2.008 kg
(d) none of these
Solution: The correct option is (c) 2.008 kg
1 kg = 1000 g
∴ 2 kg 8 g = 2 kg + `frac\{8}{1000}` kg = (2 + 0.008) kg = 2.008 kg
23. 2 kg 56 g = ?
(a) 2.56 kg
(b) 2.056 kg
(c) 2.560 kg
(d) none of these
Solution: The correct option is (b) 2.056 kg
2 kg + 56 g = 2 + `frac\{56}{1000}` kg = 2 + 0.056 kg = 2.056 kg
24. 2 km 35 m = ?
(a) 2.35 km
(b) 2.350 km
(c) 2.035 km
(d) none of these
Solution: The correct option is (c) 2.035 km
1 km = 1000 m
∴ 2 km 35 m = 2 + `frac\{35}{1000}` km = 2 + 0.035 km = 2.035 km
25. 0.4 + 0.004 + 4.4 = ?
(a) 4.444
(b) 5.2
(c) 4.804
(d) 5.404
Solution: The correct option is (c) 4.804
0.4 + 0.004 + 4.4
0.400
+ 0.004
+ 4.400
4.804
26. 3.5 + 4.0 − 6.005 = ?
(a) 1.545
(b) 1.09
(c) 1.6
(d) none of these
Solution: The correct option is (a) 1.545
Converting into like decimals:
3.500 + 4.000 − 6.005
= 7.500 − 6.005
= 1.495
27. 6.3 - 2.8 = ?
(a) 0.35
(b) 3.5
(c) 3.035
(d) none of these
Solution: The correct option is (b) 3.5
6.3 − 2.8 = 3.5
28. 5.01 − 3.6 = ?
(a) 45
(b) 1.95
(c) 1.41
(d) none of these
Solution: The correct option is (c) 1.41
Converting into like decimals and then subtracting:
5.01 − 3.60 = 1.41
29. 2 − 0.7 = ?
(a) 1.3
(b) 1.5
(c) 2.
(d) 2.03
(d) none of these
Solution: The correct option is (a) 1.3
Converting into like decimals and then subtracting:
2.0 − 0.7 = 1.3
30. 1.1 − 0.3 = ?
(a) 0.8
(b) 0.08
(c) 8
(d) none of these
Solution: The correct option is (a) 0.8
Converting into like decimals and then subtracting:
1.1 − 0.3 = 0.8
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