RS Aggarwal 2021-2022 for Class 6 Maths Solutions Chapter 7- Decimal
RS Aggarwal Class 6 Math Solution Chapter 7- Decimal Test Paper 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
Test Paper-7
1: Convert 4`frac\{5}{8}` into a decimal fraction.
Solution:
4`frac\{5}{8}` = 4 + `frac\{5}{8}` = 4 + 0.625 = 4.625
2: Express 105 cm into metres using decimals.
Solution:
1 cm = `frac\{1}{100}`m
∴ 105 cm = `frac\{105}{100}` m
= 1 + `frac\{5}{100}`
= (1 + 0.05) m = 1.05 m
3: Express 6 km 5 m as km using decimals.
Solution:
1 m = `frac\{1}{1000}` km
∴ 5 m = `frac\{5}{1000}` km = 0.005 km
6 km 5 m = (6 + 0.005) km = 6.005 km
4: Express 8 m as kilometre using decimals.
Solution:
1m = `frac\{1}{1000}` m
∴ 8m = `frac\{8}{1000}` = 0.008 km
5: Add 26.4, 163.05, 8.75 and 5.6.
Solution:
Converting into like decimals and then adding:
In like decimal = 26.40, 163.05, 8.75 and 5.60
= 26.40 + 163.05 + 8.75 + 5.60
= 203.80
Working:
26.40
163.05
8.75
+ 5.60
203.80
.6: Subtract 0.528 from 3.2.
Solution:
Converting into like decimals and then subtracting:
∴ 3.200 − 0.528 = 2.672
Working:
3.200
− 0.528
2.672
7: What is to be added to 63.5 to get 71?
Solution:
We subtract 63.5 from 71 in order to find the number that is to be added to 63.5 to make it 71.
Converting into like decimals and then subtracting:
71.0
− 63.5
7.5
8: What is to be subtracted from 13 to get 5.4?
Solution:
We subtract 5.4 from 13 in order to find the number that is to be subtracted from 13 to get 5.4.
Converting into like decimals and then subtracting:
13.0
− 5.4
7.6
Thus, we need to subtract 7.6 from 13 to get 5.4.
9: Arrange the following decimals in descending order:
6.5, 6.05, 6,54, 6.4 and 6.45
Solution:
Converting them into like decimals:
6.50, 6.05, 6.54, 6.40 and 6.45
Clearly, 6.54 > 6.50 > 6.45 > 6.40 > 6.05
Hence, the given decimals can be arranged in the descending order in the following manner:
6.54, 6.50, 6.45, 6.40 and 6.05
10: Convert each of the following into a fraction in simplest form
(i) 0.4
(ii) 0.35
(iii) 0.08
(iv) 0.075
Solution:
(i) 0.4 = `frac\{cancel 4^2}{cancel 10^5}` = `frac\{2}{5}`
(ii) 0.35 = `frac\{cancel 35^7}{cancel 100^20}` = `frac\{7}{20}`
(iii) 0.08 = `frac\{cancel 8^2}{cancel 100^25}` = `frac\{2}{25}`
(iv) 0.075 = `frac\{cancel 75^3}{cancel 1000^40}` = `frac\{3}{40}`
Mark (✓) against the correct answer in each of the following:
11: `frac\{3}{25}` =?
(a) 1.2
(b) 0.12
(c) 0.012
(d) none of these
Solution: The correct option is (b) 0.12
`frac\{3}{25}` = 0.12
25) 30 (0.12
− 25
50
− 50
0
12: `frac\{6}{1000}` = ?
(a) 6.001
(b) 0.0006
(c) 0.006
(d) 0.06
Solution: The correct option is (c) 0.006
`frac\{6}{1000}` = 6 thousandths = 0.006
13: 2`frac\{3}{100}` =?
(a) 2.003
(b) 2.03
(c) 2.3
(d) none of these
Solution: The correct option is (b) 2.03
2`frac\{3}{100}` = 2 + `frac\{3}{100}` = 2 + 0.03 = 2.03
14: The place value of 3 in 16.534 is
(a) `frac\{3}{10}`
(b) `frac\{3}{100}`
(c) `frac\{3}{1000}`
(d) 3
Solution: The correct option is (b): `frac\{3}{100}`
In 16.534, place value of 3 = 3 hundredths = 0.03 = `frac\{3}{100}`
15: 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 + `frac\{7 × 125}{8 × 125}`
= 4 + `frac\{875}{1000}`
= 4 + 0.875
= 4.875
16: 5.01 − 3.6 = ?
(a) 4.65
(b) 1.95
(c) 1.41
(d) none of these
Solution: The correct option is (c) 1.41
Converting into like decimals:
5.01
− 3.60
1.41
17: 3.5 + 4.05 − 6.005 = ?
(a) 1.545
(b) 1.095
(c) 1.6
(d) none of these
Solution: The correct option is (a) 1.545
3.500 + 4.050 − 6.005 (converting into like decimal)
= 7.550 − 6.005
= 1.545
18: `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
19: 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 all the given decimals into like decimals:
2.600, 2006, 2.660 and 2.080
Among these given decimals, 2.660 is the largest.
20: Fill in the blanks.
(i) 1m = ………. km
(ii) 10 ml = …….. L
(iii) 16 kg 5 g = ………. kg
(iv) 2 m 8 cm = ……. m
(v) 3.02, 4.75, 1.63 are examples of ………….. decimals.
Solution:
(i) 1 m = `frac\{1}{1000}` km = 0.001 km
(ii) 10 mL = `frac{10}{1000}` L = 0.01 L
(iii) 16 kg 5 g = (16 + 0.005) kg = 16.005 kg
(iv) 2 m 8 cm = (2 + 0.08) m = 2.08 m
(v) 3.02, 4.75, 1.63 are examples of like decimals.
21: Write 'T' for true and 'F' for false for each of the statements given below:
(i) 3.02 < 3.2.
(ii) 3 g = 0.003 kg.
(iii) `frac\{341}{1000}` = 3.410.
(iv) 6.2 and 6.200 are equivalent decimals.
(v) 2.3, 3.41, 4.53, 5.61 are examples of like decimals.
Solution:
(i) True (3.02 < 3.20 ) changing into like decimal.
(ii) True ( 3g = `frac\{3}{1000}` = 0.003kg
(iii) False (`frac\{341}{1000}` = 0.341 ≠ 3.410)
(iv) True
(v) False (because the numbers of digits after decimal is not equal)
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