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NCERT solutions for Mathematics [English] Class 6 chapter 8 - Decimals [Latest edition]

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NCERT solutions for Mathematics [English] Class 6 chapter 8 - Decimals - Shaalaa.com
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Solutions for Chapter 8: Decimals

Below listed, you can find solutions for Chapter 8 of CBSE NCERT for Mathematics [English] Class 6.


EXERCISE 8.1EXERCISE 8.2EXERCISE 8.3EXERCISE 8.4EXERCISE 8.5EXERCISE 8.6
EXERCISE 8.1 [Pages 167 - 168]

NCERT solutions for Mathematics [English] Class 6 8 Decimals EXERCISE 8.1 [Pages 167 - 168]

EXERCISE 8.1 | Q 1. (a) | Page 167

Write the following as numbers in the given table.

Hundreds

(100)

Tens

(10)

Ones

(1)

Tenths

`bb((1/10))`

       
EXERCISE 8.1 | Q 1. (b) | Page 167

Write the following as numbers in the given table.

Hundreds

(100)

Tens

(10)

Ones

(1)

Tenths

`bb((1/10))`

       
EXERCISE 8.1 | Q 2. (a) | Page 168

Write the following decimals in the place value table.

19.4

EXERCISE 8.1 | Q 2. (b) | Page 168

Write the following decimals in the place value table.

0.3

EXERCISE 8.1 | Q 2. (c) | Page 168

Write the following decimals in the place value table.

10.6

EXERCISE 8.1 | Q 2. (d) | Page 168

Write the following decimals in the place value table.

205

EXERCISE 8.1 | Q 3. (a) | Page 168

Write the following as decimal:

Seven-tenths

EXERCISE 8.1 | Q 3. (b) | Page 168

Write the following as decimal:

Two tens and nine-tenths

EXERCISE 8.1 | Q 3. (c) | Page 168

Write the following as decimal:

Fourteen point six

EXERCISE 8.1 | Q 3. (d) | Page 168

Write the following as decimal:

One hundred and two ones

EXERCISE 8.1 | Q 3. (e) | Page 168

Write the following as decimal:

Six hundred point eight

EXERCISE 8.1 | Q 4. (a) | Page 168

Write the following as decimal:

`5/10`

EXERCISE 8.1 | Q 4. (b) | Page 168

Write the following as decimal:

`3 + 7/10`

EXERCISE 8.1 | Q 4. (c) | Page 168

Write the following as decimal:

`200 + 60 + 5 + 1/10`

EXERCISE 8.1 | Q 4. (d) | Page 168

Write the following as decimal:

`70 + 8/10`

EXERCISE 8.1 | Q 4. (e) | Page 168

Write the following as decimal:

`88/10`

EXERCISE 8.1 | Q 4. (f) | Page 168

Write the following as decimal:

`4 2/10`

EXERCISE 8.1 | Q 4. (g) | Page 168

Write the following as decimal:

`3/2`

EXERCISE 8.1 | Q 4. (h) | Page 168

Write the following as decimal:

`2/5`

EXERCISE 8.1 | Q 4. (i) | Page 168

Write the following as decimal:

`12/5`

EXERCISE 8.1 | Q 4. (j) | Page 168

Write the following as decimal:

`3 3/5`

EXERCISE 8.1 | Q 4. (k) | Page 168

Write the following as decimal:

`4 1/2`

EXERCISE 8.1 | Q 5. (a) | Page 168

Write the following decimals as fractions. Reduce the fractions to the lowest form.

0.6

EXERCISE 8.1 | Q 5. (b) | Page 168

Write the following decimals as fractions. Reduce the fractions to the lowest form.

2.5

EXERCISE 8.1 | Q 5. (c) | Page 168

Write the following decimals as fractions. Reduce the fractions to the lowest form.

1.0

EXERCISE 8.1 | Q 5. (d) | Page 168

Write the following decimals as fractions. Reduce the fractions to the lowest form.

3.8

EXERCISE 8.1 | Q 5. (e) | Page 168

Write the following decimals as fractions. Reduce the fractions to the lowest form.

13.7

EXERCISE 8.1 | Q 5. (f) | Page 168

Write the following decimals as fractions. Reduce the fractions to the lowest form.

21.2

EXERCISE 8.1 | Q 5. (g) | Page 168

Write the following decimals as fractions. Reduce the fractions to the lowest form.

6.4

EXERCISE 8.1 | Q 6. (a) | Page 168

Express the following as cm using decimals.

2 mm

EXERCISE 8.1 | Q 6. (b) | Page 168

Express the following as cm using decimals.

30 mm

EXERCISE 8.1 | Q 6. (c) | Page 168

Express the following as cm using decimals.

116 mm

EXERCISE 8.1 | Q 6. (d) | Page 168

Express the following as cm using decimals.

4 cm 2 mm

EXERCISE 8.1 | Q 6. (e) | Page 168

Express the following as cm using decimals.

162 mm

EXERCISE 8.1 | Q 6. (f) | Page 168

Express the following as cm using decimals.

83 mm

EXERCISE 8.1 | Q 7. (a) | Page 168

Between which two whole numbers on the number line are the given numbers lie? Which of these whole numbers is nearer the number?

0.8

EXERCISE 8.1 | Q 7. (b) | Page 168

Between which two whole numbers on the number line are the given numbers lie? Which of these whole numbers is nearer the number?

5.1

EXERCISE 8.1 | Q 7. (c) | Page 168

Between which two whole numbers on the number line are the given numbers lie? Which of these whole numbers is nearer the number?

2.6

EXERCISE 8.1 | Q 7. (d) | Page 168

Between which two whole numbers on the number line are the given numbers lie? Which of these whole numbers is nearer the number?

6.4

EXERCISE 8.1 | Q 7. (e) | Page 168

Between which two whole numbers on the number line are the given numbers lie? Which of these whole numbers is nearer the number?

9.1

EXERCISE 8.1 | Q 7. (f) | Page 168

Between which two whole numbers on the number line are the given numbers lie? Which of these whole numbers is nearer the number?

4.9

EXERCISE 8.1 | Q 8. (a) | Page 168

Show the following number on the number line.

0.2

EXERCISE 8.1 | Q 8. (b) | Page 168

Show the following number on the number line.

1.9

EXERCISE 8.1 | Q 8. (c) | Page 168

Show the following number on the number line.

1.1

EXERCISE 8.1 | Q 8. (d) | Page 168

Show the following number on the number line.

2.5

EXERCISE 8.1 | Q 9. | Page 168

Write the decimal number represented by the points A, B, C, and D on the given number line.

EXERCISE 8.1 | Q 10. (a) | Page 168

The length of Ramesh’s notebook is 9 cm 5 mm. What will be its length in cm?

EXERCISE 8.1 | Q 10. (b) | Page 168

The length of a young gram plant is 65 mm. Express its length in cm.

EXERCISE 8.2 [Pages 173 - 174]

NCERT solutions for Mathematics [English] Class 6 8 Decimals EXERCISE 8.2 [Pages 173 - 174]

EXERCISE 8.2 | Q 1. (a) | Page 173

Complete the table with the help of these boxes and use decimals to write the number.

Ones Tenths Hundredths Number
       
EXERCISE 8.2 | Q 1. (b) | Page 173

Complete the table with the help of these boxes and use decimals to write the number.

Ones Tenths Hundredths Number
       
EXERCISE 8.2 | Q 1. (c) | Page 173

Complete the table with the help of these boxes and use decimals to write the number.

Ones Tenths Hundredths Number
       
EXERCISE 8.2 | Q 2. (a) | Page 173

Write the numbers given in the following place value table in decimal form.

Hundreds

100

Tens

10

Ones

1

Tenths

`bb(1/10)`

Hundredths

`bb((1/100))`

Thousandths

`bb(1/1000)`

0 0 3 2 5 0
EXERCISE 8.2 | Q 2. (b) | Page 173

Write the numbers given in the following place value table in decimal form.

Hundreds

100

Tens

10

Ones

1

Tenths

`bb(1/10)`

Hundredths

`bb((1/100))`

Thousandths

`bb(1/1000)`

1 0 2 6 3 0
EXERCISE 8.2 | Q 2. (c) | Page 173

Write the numbers given in the following place value table in decimal form.

Hundreds

100

Tens

10

Ones

1

Tenths

`bb(1/10)`

Hundredths

`bb((1/100))`

Thousandths

`bb(1/1000)`

0 3 0 0 2 5
EXERCISE 8.2 | Q 2. (d) | Page 173

Write the numbers given in the following place value table in decimal form.

Hundreds

100

Tens

10

Ones

1

Tenths

`bb(1/10)`

Hundredths

`bb((1/100))`

Thousandths

`bb(1/1000)`

2 1 1 9 0 2
EXERCISE 8.2 | Q 2. (e) | Page 173

Write the numbers given in the following place value table in decimal form.

Hundreds

100

Tens

10

Ones

1

Tenths

`bb(1/10)`

Hundredths

`bb((1/100))`

Thousandths

`bb(1/1000)`

0 1 2 2 4 1
EXERCISE 8.2 | Q 3. (a) | Page 174

Write the following decimals in the place value table.

0.29

EXERCISE 8.2 | Q 3. (b) | Page 174

Write the following decimals in the place value table.

2.08

EXERCISE 8.2 | Q 3. (c) | Page 174

Write the following decimals in the place value table.

19.60

EXERCISE 8.2 | Q 3. (d) | Page 174

Write the following decimals in the place value table.

148.32

EXERCISE 8.2 | Q 3. (e) | Page 174

Write the following decimals in the place value table.

200.812

EXERCISE 8.2 | Q 4. (a) | Page 174

Write the following as decimals.

`20 + 9 + 4/10 + 1/100`

EXERCISE 8.2 | Q 4. (b) | Page 174

Write the following as decimals.

`137 + 5/100`

EXERCISE 8.2 | Q 4. (c) | Page 174

Write the following as decimals.

`7/10 + 6/100 + 4/1000`

EXERCISE 8.2 | Q 4. (d) | Page 174

Write the following as decimals.

`23 + 2/10 + 6/1000`

EXERCISE 8.2 | Q 4. (e) | Page 174

Write the following as decimals.

`700 + 20 + 5 + 9/100`

EXERCISE 8.2 | Q 5. (a) | Page 174

Write the following decimals in words.

0.03

EXERCISE 8.2 | Q 5. (b) | Page 174

Write the following decimals in words.

1.20

EXERCISE 8.2 | Q 5. (c) | Page 174

Write the following decimals in words.

108.56

EXERCISE 8.2 | Q 5. (d) | Page 174

Write the following decimals in words.

10.07

EXERCISE 8.2 | Q 5. (e) | Page 174

Write the following decimals in words.

0.032

EXERCISE 8.2 | Q 5. (f) | Page 174

Write the following decimals in words.

5.008

EXERCISE 8.2 | Q 6. (a) | Page 174

Between which two numbers in the tenth place on the number line does the given number lie?

0.06

EXERCISE 8.2 | Q 6. (b) | Page 174

Between which two numbers in the tenth place on the number line does the given number lie?

0.45

EXERCISE 8.2 | Q 6. (c) | Page 174

Between which two numbers in the tenth place on the number line does the given number lie?

0.19

EXERCISE 8.2 | Q 6. (d) | Page 174

Between which two numbers in the tenth place on the number line does the given number lie?

0.66

EXERCISE 8.2 | Q 6. (e) | Page 174

Between which two numbers in the tenth place on the number line does the given number lie?

0.92

EXERCISE 8.2 | Q 6. (f) | Page 174

Between which two numbers in the tenth place on the number line does the given number lie?

0.57

EXERCISE 8.2 | Q 7.(a) | Page 174

Write as a fraction in the lowest terms.

0.60

EXERCISE 8.2 | Q 7. (b) | Page 174

Write as a fraction in the lowest terms.

0.05

EXERCISE 8.2 | Q 7. (c) | Page 174

Write as a fraction in the lowest terms.

0.75

EXERCISE 8.2 | Q 7. (d) | Page 174

Write as a fraction in the lowest terms.

0.18

EXERCISE 8.2 | Q 7. (e) | Page 174

Write as a fraction in the lowest terms.

0.25

EXERCISE 8.2 | Q 7. (f) | Page 174

Write as a fraction in the lowest terms.

0.125

EXERCISE 8.2 | Q 7. (g) | Page 174

Write as a fraction in the lowest terms.

0.066

EXERCISE 8.3 [Page 175]

NCERT solutions for Mathematics [English] Class 6 8 Decimals EXERCISE 8.3 [Page 175]

EXERCISE 8.3 | Q 1. (a) | Page 175

Which is greater?

0.3 or 0.4

EXERCISE 8.3 | Q 1. (b) | Page 175

Which is greater?

0.07 or 0.02

EXERCISE 8.3 | Q 1. (c) | Page 175

Which is greater?

3 or 0.8

EXERCISE 8.3 | Q 1. (d) | Page 175

Which is greater?

0.5 or 0.05

EXERCISE 8.3 | Q 1. (e) | Page 175

Which is greater?

1.23 or 1.2

EXERCISE 8.3 | Q 1. (f) | Page 175

Which is greater?

0.099 or 0.19

EXERCISE 8.3 | Q 1. (g) | Page 175

Which is greater?

1.5 or 1.50

EXERCISE 8.3 | Q 1. (h) | Page 175

Which is greater?

1.431 or 1.490

EXERCISE 8.3 | Q 1. (i) | Page 175

Which is greater?

3.3 or 3.300

EXERCISE 8.3 | Q 1. (j) | Page 175

Which is greater?

5.64 or 5.603

EXERCISE 8.3 | Q 2. | Page 175

Make five more examples and find the greater number from them.

EXERCISE 8.4 [Page 177]

NCERT solutions for Mathematics [English] Class 6 8 Decimals EXERCISE 8.4 [Page 177]

EXERCISE 8.4 | Q 1. (a) | Page 177

Express as rupees using decimal.

5 paise

EXERCISE 8.4 | Q 1. (b) | Page 177

Express as rupees using decimal.

75 paise

EXERCISE 8.4 | Q 1. (c) | Page 177

Express as rupees using decimal.

20 paise

EXERCISE 8.4 | Q 1. (d) | Page 177

Express as rupees using decimal.

50 rupees 90 paise

EXERCISE 8.4 | Q 1. (e) | Page 177

Express as rupees using decimal.

725 paise

EXERCISE 8.4 | Q 2. (a) | Page 177

Express as metres using decimal.

15 cm

EXERCISE 8.4 | Q 2. (b) | Page 177

Express as metres using decimal.

6 cm

EXERCISE 8.4 | Q 2. (c) | Page 177

Express as metres using decimal.

2 m 45 cm

EXERCISE 8.4 | Q 2. (d) | Page 177

Express as metres using decimal.

9 m 7 cm

EXERCISE 8.4 | Q 2. (e) | Page 177

Express as metres using decimal.

419 cm

EXERCISE 8.4 | Q 3. (a) | Page 177

Express as cm using decimal.

5 mm

EXERCISE 8.4 | Q 3. (b) | Page 177

Express as cm using decimal.

60 mm

EXERCISE 8.4 | Q 3. (c) | Page 177

Express as cm using decimal.

164 mm

EXERCISE 8.4 | Q 3. (d) | Page 177

Express as cm using decimal.

9 cm 8 mm

EXERCISE 8.4 | Q 3. (e) | Page 177

Express as cm using decimal.

93 mm

EXERCISE 8.4 | Q 4. (a) | Page 177

Express as km using decimal.

8 m

EXERCISE 8.4 | Q 4. (b) | Page 177

Express as km using decimal

88 m

EXERCISE 8.4 | Q 4. (c) | Page 177

Express as km using decimal.

8888 m

EXERCISE 8.4 | Q 4. (d) | Page 177

Express as km using decimal.

70 km 5 m

EXERCISE 8.4 | Q 5. (a) | Page 177

Express as kg using decimal.

2 g

EXERCISE 8.4 | Q 5. (b) | Page 177

Express as kg using decimal.

100 g

EXERCISE 8.4 | Q 5. (c) | Page 177

Express as kg using decimal.

3750 g

EXERCISE 8.4 | Q 5. (d) | Page 177

Express as kg using decimal.

5 kg 8 g

EXERCISE 8.4 | Q 5. (e) | Page 177

Express as kg using decimal.

26 kg 50 g

EXERCISE 8.5 [Pages 179 - 180]

NCERT solutions for Mathematics [English] Class 6 8 Decimals EXERCISE 8.5 [Pages 179 - 180]

EXERCISE 8.5 | Q 1. (a) | Page 179

Find the sum in the following:

0.007 + 8.5 + 30.08

EXERCISE 8.5 | Q 1. (b) | Page 179

Find the sum in the following:

15 + 0.632 + 13.8

EXERCISE 8.5 | Q 1. (c) | Page 179

Find the sum in the following:

27.076 + 0.55 + 0.004

EXERCISE 8.5 | Q 1. (d) | Page 179

Find the sum in the following:

25.65 + 9.005 + 3.7

EXERCISE 8.5 | Q 1. (e) | Page 179

Find the sum in the following:

0.75 + 10.425 + 2

EXERCISE 8.5 | Q 1. (f) | Page 179

Find the sum in the following:

280.69 + 25.2 + 38

EXERCISE 8.5 | Q 2. | Page 179

Rashid spent ₹ 35.75 on the Maths book and ₹ 32.60 on the Science book. Find the total amount spent by Rashid.

EXERCISE 8.5 | Q 3. | Page 179

Radhika’s mother gave her ₹ 10.50 and her father gave her ₹ 15.80, find the total amount given to Radhika by the parents.

EXERCISE 8.5 | Q 4. | Page 179

Nasreen bought 3 m 20 cm cloth for her shirt and 2 m 5 cm cloth for her trouser. Find the total length of cloth bought by her.

EXERCISE 8.5 | Q 5. | Page 179

Naresh walked 2 km 35 m in the morning and 1 km 7 m in the evening. How much distance did he walk in all?

EXERCISE 8.5 | Q 6. | Page 180

Sunita travelled 15 km 268 m by bus, 7 km 7 m by car and 500 m on foot in order to reach her school. How far is her school from her residence?

EXERCISE 8.5 | Q 7. | Page 180

Ravi purchased 5 kg 400 g rice, 2 kg 20 g sugar and 10 kg 850 g flour. Find the total weight of his purchases.

EXERCISE 8.6 [Pages 181 - 182]

NCERT solutions for Mathematics [English] Class 6 8 Decimals EXERCISE 8.6 [Pages 181 - 182]

EXERCISE 8.6 | Q 1. (a) | Page 181

Subtract:

₹ 18.25 from ₹ 20.75

EXERCISE 8.6 | Q 1. (b) | Page 181

Subtract:

202.54 m from 250 m

EXERCISE 8.6 | Q 1. (c) | Page 181

Subtract:

₹ 5.36 from ₹ 8.40

EXERCISE 8.6 | Q 1. (d) | Page 181

Subtract:

2.051 km from 5.206 km

EXERCISE 8.6 | Q 1. (e) | Page 181

Subtract:

0.314 kg from 2.107kg

EXERCISE 8.6 | Q 2. (a) | Page 181

Find the value of:

9.756 – 6.28

EXERCISE 8.6 | Q 2. (b) | Page 181

Find the value of:

21.05 – 15.27

EXERCISE 8.6 | Q 2. (c) | Page 181

Find the value of:

18.5 – 6.79

EXERCISE 8.6 | Q 2. (d) | Page 181

Find the value of:

11.6 – 9.847

EXERCISE 8.6 | Q 3. | Page 182

Raju bought a book for ₹35.65. He gave ₹50 to the shopkeeper. How much money did he get back from the shopkeeper?

EXERCISE 8.6 | Q 4. | Page 182

Rani had ₹18.50. She bought one ice cream for ₹11.75. How much money does she have now?

EXERCISE 8.6 | Q 5. | Page 182

Tina had 20m 5cm long cloth. She cuts 4m 50cm length of cloth from this for making a curtain. How many clothes are left with her?

EXERCISE 8.6 | Q 6. | Page 182

Namita travels 20km 50m every day. Out of this, she travels 10km 200m by bus and the rest by auto. How much distance does she travel by auto?

EXERCISE 8.6 | Q 7. | Page 182

Aakash bought vegetables weighing 10kg. Out of this, 3kg 500g is onions, 2kg 75g is tomatoes and the rest is potatoes. What is the weight of the potatoes?

Solutions for 8: Decimals

EXERCISE 8.1EXERCISE 8.2EXERCISE 8.3EXERCISE 8.4EXERCISE 8.5EXERCISE 8.6
NCERT solutions for Mathematics [English] Class 6 chapter 8 - Decimals - Shaalaa.com

NCERT solutions for Mathematics [English] Class 6 chapter 8 - 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. NCERT solutions for Mathematics Mathematics [English] Class 6 CBSE 8 (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.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Mathematics [English] Class 6 chapter 8 Decimals are Concept of Tenths, Hundredths and Thousandths in Decimal, Comparing Decimal Numbers, Using Decimal Number as Units, Addition of Decimal Fraction, Subtraction of Decimal Fraction, Concept of Place Value, The Decimal Number System, Representing Decimals on the Number Line, Conversion between Decimal Fraction and Common Fraction, Concept of Tenths, Hundredths and Thousandths in Decimal, Comparing Decimal Numbers, Using Decimal Number as Units, Addition of Decimal Fraction, Subtraction of Decimal Fraction, Concept of Place Value, The Decimal Number System, Representing Decimals on the Number Line, Conversion between Decimal Fraction and Common Fraction.

Using NCERT Mathematics [English] Class 6 solutions Decimals exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 6 students prefer NCERT Textbook Solutions to score more in exams.

Get the free view of Chapter 8, Decimals Mathematics [English] Class 6 additional questions for Mathematics Mathematics [English] Class 6 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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