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R.S. Aggarwal solutions for Mathematics [English] Class 6 chapter 7 - Decimals [Latest edition]

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Chapters

    1: Number System

    2: Factors and Multiples

    3: Whole Numbers

    4: Integers

   Chapter 5: Fractions

    6: Simplification

▶ 7: Decimals

    8: Algebraic Expressions

    9: Linear Equation in One Variable

    10: Ratio, Proportion and Unitary Method

   Chapter 11: Line Segment, Ray and Line

   Chapter 12: Parallel Lines

   Chapter 13: Angles and Their Measurement

   Chapter 14: Constructions (Using Ruler and a Pair of Compasses)

   Chapter 15: Polygons

   Chapter 16: Triangles

   Chapter 17: Quadrilaterals

   Chapter 18: Circles

   Chapter 19: Three-Dimensional Shapes

   Chapter 20: Two-Dimensional Reflection Symmetry (Linear Symmetry)

   Chapter 21: Concept of Perimeter and Area

   Chapter 22: Data Handling

   Chapter 23: Pictograph

   Chapter 24: Bar Graph

R.S. Aggarwal solutions for Mathematics [English] Class 6 chapter 7 - Decimals - Shaalaa.com
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Solutions for Chapter 7: Decimals

Below listed, you can find solutions for Chapter 7 of CBSE R.S. Aggarwal for Mathematics [English] Class 6.


Exercise 7AExercise 7BExercise 7CExercise 7DExercise 7ETest Paper 7
Exercise 7A [Pages 113 - 114]

R.S. Aggarwal solutions for Mathematics [English] Class 6 7 Decimals Exercise 7A [Pages 113 - 114]

1.1Page 113

Write the following in figures:

Fifty-eight point six three

1.2Page 113

Write the following in figures:

One hundred twenty-four point four two five

1.3Page 113

Write the following in figures:

Seven point seven six

1.4Page 113

Write the following in figures:

Nineteen point eight

1.5Page 113

Write the following in figures:

Four hundred four point zero four four

1.6Page 113

Write the following in figures:

Point one seven three

1.7Page 113

Write the following in figures:

Point zero one five

2.1Page 113

Write the place value of the digit in the following decimal:

14.83

2.2Page 113

Write the place value of the digit in the following decimal:

275.269

2.3Page 113

Write the place value of the digit in the following decimal:

46.075

2.5Page 113

Write the place value of the digit in the following decimal:

5370.34

2.6Page 113

Write the place value of the digit in the following decimal:

186.209

3.1Page 113

Write the following decimals in expanded form:

67.83

3.2Page 113

Write the following decimals in expanded form:

283.61

3.3Page 113

Write the following decimals in expanded form:

24.675

3.4Page 113

Write the following decimals in expanded form:

0.294

3.5Page 113

Write the following decimals in expanded form:

8.006

3.6Page 113

Write the following decimals in expanded form:

4615.72

4.1Page 113

Write the following in decimal form:

\[40 + 6 + \frac{7}{10} + \frac{9}{100}\]
4.1Page 113

Write the following in decimal form:

\[40 + 6 + \frac{7}{10} + \frac{9}{100}\]
4.2Page 113

Write the following in decimal form:

\[500 + 70 + 8 + \frac{3}{10} + \frac{1}{100} + \frac{6}{1000}\]
4.3Page 113

Write the following in decimal form:

\[700 + 30 + 1 + \frac{8}{10} + \frac{4}{100}\]
4.4Page 113

Write the following in decimal form:

\[600 + 5 + \frac{7}{100} + \frac{9}{1000}\]
4.5Page 113

Write the following in decimal form:

\[800 + 5 + \frac{8}{10} + \frac{6}{1000}\]
4.6Page 113

Write the following in decimal form:

\[30 + 9 + \frac{4}{100} + \frac{8}{1000}\]
5.1Page 114

Convert each of the following into like decimals:

7.5, 64.23, 0.074

5.2Page 114

Convert each of the following into like decimals:

0.6, 5.937, 2.36, 4.2

5.3Page 114

Convert each of the following into like decimals:

1.6, 0.07, 3.58, 2.9

5.4Page 114

Convert each of the following into like decimals:

2.5, 0.63, 14.08, 1.637

6.1Page 114

Fill in the place holder with the correct symbol > or <:

84.23 ___ 76.35
6.2Page 114

Fill in the place holder with the correct symbol > or <:

7.608 ___ 7.68
6.3Page 114

Fill in the place holder with the correct symbol > or <:

8.34 __ 8.43
6.4Page 114

Fill in the place holder with the correct symbol > or <:

12.06 __12.006
6.5Page 114

Fill in the place holder with the correct symbol > or <:

3.85 __ 3.805
6.6Page 114

Fill in the place holder with the correct symbol > or <:

0.97 __ 1.07
7.1Page 114

Arrange the following decimals in ascending order:

5.8, 7.2, 5.69, 7.14, 5.06

7.2Page 114

Arrange the following decimals in ascending order:

0.6, 6.6, 6.06, 66.6, 0.06

7.3Page 114

Arrange the following decimals in ascending order:

6.54, 6.45, 6.4, 6.5, 6.05

7.4Page 114

Arrange the following decimals in ascending order:

3.3, 3.303, 3.033, 0.33, 3.003

8.1Page 114

Arrange the following decimals in descending order:

7.3, 8.73, 73.03, 7.33, 8.073

8.2Page 114

Arrange the following decimals in descending order:

3.3, 3.03, 30.3, 30.03, 3.003

8.3Page 114

Arrange the following decimals in descending order:

2.7, 7.2, 2.27, 2.72, 2.02, 2.007

8.4Page 114

Arrange the following decimals in descending order:

8.88, 8.088, 88.8, 88.08, 8.008

Exercise 7B [Page 118]

R.S. Aggarwal solutions for Mathematics [English] Class 6 7 Decimals Exercise 7B [Page 118]

1Page 118

Convert each of the following into a fraction in its simplest form:

.9

2Page 118

Convert each of the following into a fraction in its simplest form:

0.6

3Page 118

Convert each of the following into a fraction in its simplest form:

.08

4Page 118

Convert each of the following into a fraction in its simplest form:

0.15

5Page 118

Convert each of the following into a fraction in its simplest form:

0.48

6Page 118

Convert each of the following into a fraction in its simplest form:

.053

7Page 118

Convert each of the following into a fraction in its simplest form:

0.125

8Page 118

Convert each of the following into a fraction in its simplest form:

.224

9Page 118

Convert the following as a mixed-fraction:

6.4

10Page 118

Convert the following as a mixed-fraction:

16.5

11Page 118

Convert the following as a mixed-fraction:

8.36

12Page 118

Convert the following as a mixed-fraction:

4.275

13Page 118

Convert the following as a mixed-fraction:

25.06

14Page 118

Convert the following as a mixed-fraction:

7.004

15Page 118

Convert the following as a mixed-fraction:

2.052

16Page 118

Convert the following as a mixed-fraction:

3.108

17Page 118

Convert the following into a decimal

\[\frac{23}{10}\]
18Page 118

Convert the following into a decimal

\[\frac{167}{100}\]
19Page 118

Convert the following into a decimal

\[\frac{1589}{100}\]
20Page 118

Convert the following into a decimal

\[\frac{5413}{1000}\]
21Page 118

Convert the following into a decimal

\[\frac{21415}{1000}\]
22Page 118

Convert the following into a decimal

\[\frac{25}{4}\]
23Page 118

Convert the following into a decimal

\[3\frac{3}{5}\]
24Page 118

Convert the following into a decimal

\[1\frac{4}{25}\]
25Page 118

Convert the following into a decimal

\[5\frac{17}{50}\]
26Page 118

Convert the following into a decimal

\[12\frac{3}{8}\]
27Page 118

Convert the following into a decimal

\[2\frac{19}{40}\]
28Page 118

Convert the following into a decimal

\[\frac{19}{20}\]
29Page 118

Convert the following into a decimal

\[\frac{37}{50}\]
30Page 118

Convert the following into a decimal

\[\frac{107}{250}\]
31Page 118

Convert the following into a decimal

\[\frac{3}{40}\]
32Page 118

Convert the following into a decimal

\[\frac{7}{8}\]
33.1Page 118

Using decimals, express 8 kg 640 g in kilograms

33.2Page 118

Using decimals, express 9 kg 37 g in kilograms

33.3Page 118

Using decimals, express 6 kg 8 g in kilograms

34.1Page 118

Using decimals, express 4 km 365 m in kilometers

34.2Page 118

Using decimals, express 5 km 87 m in kilometres

34.3Page 118

Using decimals, express 3 km 6 m in kilometers

34.4Page 118

Using decimals, express 270 m in kilometres

34.5Page 118

Using decimals, express 35 m in kilometers.

34.6Page 118

Using decimals, express 6 m in kilometers.

35.1Page 118

Using decimals, express 15 kg 850 g in kilograms.

35.2Page 118

Using decimals, express 8 kg 96 g in kilograms.

35.3Page 118

Using decimals, express 540 g in kilograms.

35.4Page 118

Using decimals, express 8 g in kilograms.

36.1Page 118

Using decimals, express Rs 18 and 25 paise in rupees.

36.2Page 118

Using decimals, express Rs 9 and 8 paise in rupees.

36.3Page 118

Using decimals, express 32 paise in rupees.

36.4Page 118

Using decimals, express 5 paise in rupees.

Exercise 7C [Page 120]

R.S. Aggarwal solutions for Mathematics [English] Class 6 7 Decimals Exercise 7C [Page 120]

1Page 120

Add the following decimals:
9.6, 14.8, 37 and 5.9

2Page 120

Add the following decimals:
23.7, 106.94, 68.9 and 29.5

3Page 120

Add the following decimals:

72.8, 7.68, 16.23 and 0.7

4Page 120

Add the following decimals:

18.6, 84.75, 8.345 and 9.7

5Page 120

Add the following decimals:

8.236, 16.064, 63.8 and 27.53

6Page 120

Add the following decimals:

28.9, 19.64, 123.697 and 0.354

7Page 120

Add the following decimals:

4.37, 9.638, 17.007 and 6.8

8Page 120

Add the following decimals:

14.5, 0.038, 118.573 and 6.84

9Page 120

During three days of a week, a rickshaw puller earns Rs 32.60, Rs 56.80, and Rs 72 respectively. What is his total earning during these days?

10Page 120

A man purchases an almirah for Rs 11025, gives Rs 172.50 as its cartage, and spends Rs 64.80 on its repair. How much does the almirah cost him?

11Page 120

Ramesh covers 36 km 235 m by taxi, 4 km 85 m by rickshaw, and 1 km 80 m on foot What is the total distance covered by him?

12Page 120

A bag contains 45 kg 80 g of sugar and the mass of the empty bag is 950 g. What is the mass of the bag containing this much of sugar?

13Page 120

Ramu bought 2 m 70 cm cloth for his shirt and 2 m 60 cm cloth for his pyjamas. Find the total length of cloth bought by him.

14Page 120

Radhika bought 2 m 5 cm cloth for her salwar and 3 m 35 cm cloth for her shirt. Find the total length of cloth bought by her.

Exercise 7D [Pages 122 - 123]

R.S. Aggarwal solutions for Mathematics [English] Class 6 7 Decimals Exercise 7D [Pages 122 - 123]

1Page 122

Subtract:
27.86 from 53.74

2Page 122

Subtract:

64.98 from 103.87

3Page 122

Subtract:

59.63 from 92.4

4Page 122

Subtract:

56.8 from 204

5Page 122

Subtract:

127.38 from 216.2

6Page 122

Subtract:

39.875 from 70.68

7Page 122

Subtract:

348.237 from 523.12

8Page 122

Subtract:

458.573 from 600

9Page 122

Subtract:

149.456 from 206.321

10Page 122

Subtract:

0.612 from 3.4

11Page 122

Simplify:
37.6 + 72.85 − 58.678 − 6.09

12Page 122

Simplify:
75.3 − 104.645 + 178.96 − 47.9

13Page 122

Simplify:

213.4 − 56.84 − 11.87 − 16.087

14Page 122

Simplify:

76.3 − 7.666 − 6.77

15Page 122

What is to be added to 74.5 to get 91?

16Page 122

What is to be subtracted from 7.3 to get 0.862?

17Page 122

By how much should 23.754 be increased to get 50?

18Page 122

By how much should 84.5 be decreased to get 27.84?

19Page 122

If the school bags of Neelam and Garima weigh 6 kg 80 g and 5 kg 265 g respectively, whose bag is heavier and by how much?

20Page 122

Kunal purchased a notebook for Rs 19.75, a pencil for Rs 3.85, and a pen for Rs 8.35 from a book shop. He gave a 50 rupee note to the shopkeeper. What amount did he get back?

21Page 122

Sunita purchased 5 kg 75 g of fruits and 3 kg of 465 g of vegetables and put them in a bag. If this bag with these contents weighs 9 kg, find the weight of the empty bag.

22Page 123

The distance between Reeta's house and her office is 14 km. She covers 10 km 65 m by scooter, 3 km 75 m by bus, and the rest on foot. How much distance does she cover by walking?

Exercise 7E [Pages 123 - 125]

R.S. Aggarwal solutions for Mathematics [English] Class 6 7 Decimals Exercise 7E [Pages 123 - 125]

1Page 123

Mark (✓) against the correct answer in the following:

`7/10` =?

  • 7.1

  • 1.7

  • 0.7

  • 0.07

2Page 123

Mark (✓) against the correct answer in the following:

`5/100` =?

  • 5.1

  • 5.01

  • 0.5

  • 0.05

3Page 123

Mark (✓) against the correct answer in the following:

`9/1000` =?

  • 0.0009

  • 0.009

  • 9.001

  • none of these

4Page 123

Mark (✓) against the correct answer in the following:

`16/1000` =?

  • 0.016

  • 0.16

  • 0.0016

  • 1.006

5Page 123

Mark (✓) against the correct answer in the following:

`134/1000` =?

  • 13.4

  • 1.34

  • 0.134

  • 0.0134

6Page 123

Mark (✓) against the correct answer in the following:

`2 17/100` =?

  • 2.17

  • 2.017

  • 0.217

  • 21.7

7Page 123

Mark (✓) against the correct answer in the following:

`4 3/100` =?

  • 4.3

  • 4.03

  • 4.003

  • 43.10

8Page 123

Mark (✓) against the correct answer in the following:

6.25 =?

  • \[6\frac{1}{2}\]
  • \[6\frac{1}{4}\]
  • \[62\frac{1}{2}\]
  • none of these

9Page 123

Mark (✓) against the correct answer in the following:

`6/25` =?

  • 2.4

  • 0.24

  • 0.024

  • none of these

10Page 123

Mark (✓) against the correct answer in the following:

`4 7/8` =?

  • 4.78

  • 4.87

  • 4.875

  • none of these

11Page 123

Mark (✓) against the correct answer in the following:

24.8 =?

  • \[24\frac{4}{5}\]
  • \[24\frac{2}{5}\]
  • \[24\frac{1}{5}\]
  • none of these

12Page 124

Mark (✓) against the correct answer in the following:

\[2\frac{1}{25} = ?\]
  • 2.4

  • 2.04

  • 2.004

  • none of these

13Page 124

Mark (✓) against the correct answer in the following:

\[2 + \frac{3}{10} + \frac{4}{100}\]
  • 2.304

  • 2.34

  • 2.304

  • none of these

14Page 124

Mark (✓) against the correct answer in the following:

\[2 + \frac{6}{100} = ?\]
  • 2.006

  • 2.06

  • 2.6

  • none of these

15Page 124

Mark (✓) against the correct answer in the following:

\[\frac{4}{100} + \frac{7}{10000} = ?\]
  • 0.47

  • 0.407

  • 0.0407

  • none of these

16Page 124

The correct expanded from of 2.06 is

  • \[\left( 2 \times 10 \right) + \left( 6 \times \frac{1}{10} \right)\]
  • \[\left( 2 \times 1 \right) + \left( 6 \times \frac{1}{10} \right)\]
  • \[\left( 2 \times 1 \right) + \left( 6 \times \frac{1}{100} \right)\]
  • none of these

17Page 124

Among 2.6, 2.006, 2.66 and 2.08, the largest number is

  • 2.006

  • 2.08

  • 2.6

  • 2.66

18Page 124

Which of the following is the correct order?

  • 2.2 < 2.02 < 2.002 < 2.222

  • 2.002 < 2.02 < 2.2 < 2.222

  • 2.02 < 2.22 < 2.002 < 2.222

  • none of these

19Page 124

Which is larger: 2.1 or 2.055?

  • 2.1

  • 2.055

  • cannot be compared

20Page 124

Mark (✓) against the correct answer in the following:

1 cm = ?

  • 0.1 m

  • 0.01 m

  • 0.001 m

  • none of these

21Page 124

Mark (✓) against the correct answer in the following:

2 m 5 cm = ?

  • 2.5 m

  • 2.05 m

  • 2.005 m

  • 0.25 m

22Page 124

Mark (✓) against the correct answer in the following:

2 kg 8 g = ?

  • 2.8 kg

  • 2.08 kg

  • 2.008 kg

  • none of these

23Page 124

Mark (✓) against the correct answer in the following:

2 kg 56 g = ?

  • 2.56 kg

  • 2.056 kg

  • 2.560 kg

  • none of these

24Page 124

Mark (✓) against the correct answer in the following:

2 km 35 m = ?

  • 2.35 km

  • 2.350 km

  • 2.035 km

  • none of these

25Page 124

Mark (✓) against the correct answer in the following:

0.4 + 0.004 + 4.4 = ?

  • 4.444

  • 5.2

  • 4.804

  • 5.404

26Page 124

Mark (✓) against the correct answer in the following:

3.5 + 4.05 − 6.005 = ?

  • 1.545

  • 1.095

  • 1.6

  • none of these

27Page 124

Mark (✓) against the correct answer in the following:

6.3 − 2.8 = ?

  • 0.35

  • 3.5

  • 3.035

  • none of these

28Page 124

Mark (✓) against the correct answer in the following:

5.01 − 3.6 = ?

  • 4.65

  • 1.95

  • 1.41

  • none of these

29Page 125

Mark (✓) against the correct answer in the following:

2 − 0.7 = ?

  • 1.3

  • 1.5

  • 2.03

  • none of these

30Page 125

Mark (✓) against the correct answer in the following:

1.1 − 0.3 = ?

  • 0.8

  • 0.08

  • 8

  • none of these

Test Paper 7 [Pages 126 - 127]

R.S. Aggarwal solutions for Mathematics [English] Class 6 7 Decimals Test Paper 7 [Pages 126 - 127]

1Page 126

Convert \[4\frac{5}{8}\] into a decimal fraction.

2Page 126

Express 105 cm into meters using decimals.

3Page 126

Express 6 km 5 m as km using decimals.

4Page 126

Express 8 m as kilometre using decimals.

5Page 126

Add 26.4, 163.05, 8.75, and 5.6.

6Page 126

Subtract 0.528 from 3.2.

7Page 126

What is to be added to 63.5 to get 71?

8Page 126

What is to be subtracted from 13 to get 5.4?

9Page 126

Arrange the following decimals in descending order:

6.5, 6.05, 6.54, 6.4 and 6.45

10.1Page 126

Convert the following into a fraction in simplest form:

.4

10.2Page 126

Convert the following into a fraction in simplest form:

.35

10.3Page 126

Convert the following into a fraction in simplest form:

0.08

10.4Page 126

Convert the following into a fraction in simplest form:

0.075

11Page 126

Mark (✓) against the correct answer in the following:

\[\frac{3}{25} = ?\]
  • 1.2

  • 0.12

  • 0.012

  • none of these

12Page 126

Mark (✓) against the correct answer in the following:

\[\frac{6}{1000} = ?\]
  • 6.001

  • 0.0006

  • 0.006

  • 0.06

13Page 126

Mark (✓) against the correct answer in the following:

\[2\frac{3}{100} = ?\]
  • 2.003

  • 2.03

  • 2.3

  • none of these

14Page 126

Mark (✓) against the correct answer in the following:

The place value of 3 in 16.534 is
  • \[\frac{3}{10}\]
  • \[\frac{3}{100}\]
  • \[\frac{3}{1000}\]
  • 3

15Page 126

Mark (✓) against the correct answer in the following:

\[4\frac{7}{8} = ?\]
  • 4.78

  • 4.87

  • 4.875

  • none of these

16Page 126

Mark (✓) against the correct answer in the following:

5.01 − 3.6 = ?
  • 4.65

  • 1.95

  • 1.41

  • none of these

17Page 126

Mark (✓) against the correct answer in the following:

3.5 + 4.05 − 6.005 = ?
  • 1.545

  • 1.095

  • 1.6

  • none of these

18Page 126

Mark (✓) against the correct answer in the following:

\[\frac{4}{100} + \frac{7}{10000} = ?\]
  •  0.47

  • 0.407

  • 0.0407

  • none of these

19Page 126

Mark (✓) against the correct answer in the following:

Among 2.6, 2.006, 2.66 and 2.08, the largest number is
  • 2.006

  • 2.08

  • 2.6

  • 2.66

20.1Page 126

Fill in the blank.

1 m = _______ km
20.2Page 126

Fill in the blank.

10 ml = _____ 1
20.3Page 126

Fill in the blank.

16 kg 5 g = ______ kg
20.4Page 126

Fill in the blank.

2 m 8 cm = _____ m
20.5Page 126

Fill in the blank.

3.02, 4.75, 1.63 are examples of______decimals.
21.1Page 127

Write 'T' for true and 'F' for false the statement given below:

3.02 < 3.2.
  • True

  • False

21.2Page 127

Write 'T' for true and 'F' for false the statement given below:

3 g = 0.003 kg.
  • True

  • False

21.3Page 127

Write 'T' for true and 'F' for false the statement given below:

`341/1000=3.410`
  • True

  • False

21.4Page 127

Write 'T' for true and 'F' for false the statement given below:

6.2 and 6.200 are equivalent to decimals.
  • True

  • False

21.5Page 127

Write 'T' for true and 'F' for false the statement given below:

2.3, 3.41, 4.53, 5.61 are examples of like decimals.
  • True

  • False

Solutions for 7: Decimals

Exercise 7AExercise 7BExercise 7CExercise 7DExercise 7ETest Paper 7
R.S. Aggarwal solutions for Mathematics [English] Class 6 chapter 7 - Decimals - Shaalaa.com

R.S. Aggarwal solutions for Mathematics [English] Class 6 chapter 7 - Decimals

Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 6 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. R.S. Aggarwal solutions for Mathematics Mathematics [English] Class 6 CBSE 7 (Decimals) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

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Concepts covered in Mathematics [English] Class 6 chapter 7 Decimals are Basic Concept of Construction, Squares and Rectangles, Constructing Squares and Rectangles, An Exploration in Rectangles, Exploring Diagonals of Rectangles and Squares, Points Equidistant from Two Given Points, Constructing Complex Figures.

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