NCERT Solutions For Class 6 Maths Chapter 8 - Decimals

NCERT Solutions for Class 6 Maths offer comprehensive explanations for the questions found within the NCERT textbooks endorsed by the Central Board of Secondary Education (CBSE). Orchids the international school provides these NCERT Class 6 Maths Solutions on a chapter-by-chapter basis, aiming to assist students in resolving any uncertainties and acquiring a profound comprehension of the subject matter. These resources, including NCERT Solutions, are conveniently accessible in PDF format, allowing students to download them for offline learning.

Download PDF For NCERT Solutions for Maths Decimals

The NCERT Solutions For Class 6 Maths Chapter 8 - Decimals are tailored to help the students master the concepts that are key to success in their classrooms. The solutions given in the PDF are developed by experts and correlate with the CBSE syllabus of 2023-2024. These solutions provide thorough explanations with a step-by-step approach to solving problems. Students can easily get a hold of the subject and learn the basics with a deeper understanding. Additionally, they can practice better, be confident, and perform well in their examinations with the support of this PDF.

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Access Answers to NCERT Solutions For Class 6 Maths Chapter 8 - Decimals

Students can access the NCERT Solutions For Class 6 Maths Chapter 8 - Decimals. Curated by experts according to the CBSE syllabus for 2023–2024, these step-by-step solutions make Maths much easier to understand and learn for the students. These solutions can be used in practice by students to attain skills in solving problems, reinforce important learning objectives, and be well-prepared for tests.

Introduction

Question 1 :

Write the following numbers in the given table.

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 1

 

Hundreds

Tens

Ones

Tenths

(100)

(10)

(1)

(1 / 10)

       

 

Answer :

 

 

Rows

Hundreds

Tens

Ones

Tenths

a

0

3

1

2

b

1

1

0

4

 


Question 2 :

 Write the following decimals in the place value table.

(a) 19.4

(b) 0.3

(c) 10.6

(d) 205.9

 

 

Answer :

Solutions:

 

Hundreds

Tens

Ones

Tenths

19.4

0

1

9

4

0.3

0

0

0

3

10.6

0

1

0

6

205.9

2

0

5

9


Question 3 :

 Write each of the following as decimals:

(a) 5 / 10

(b) 3 + 7 / 10

(c) 200 + 60 + 5 + 1 / 10

(d) 70 + 8 / 10

(e) 88 / 10

(f) NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 2

(g) 3 / 2

(h) 2 / 5

(i) 12 / 5

(j) NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 3

(k) NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 4

 

Answer :

(a) 5 / 10 = 0.5

(b) 3 + 7 / 10 = 3 + 0.7

= 3.7

(c) 200 + 60 + 5 + 1 / 10 = 265 + 0.1

= 265.1

(d) 70 + 8 / 10 = 70 + 0.8

= 70.8

(e) 88 / 10 = 80 / 10 + 8 / 10

= 8 + 0.8

= 8.8

(f)

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 5

(g) 3 / 2 = (2 + 1) / 2

= 2 / 2 + 1 / 2

= 1 + 0.5

= 1.5

(h) 2 / 5 = 0.4

(i) 12 / 5 = (10 + 2) / 5

= 10 / 5 + 2 / 5

= 2 + 0.4

= 2.4

(j)

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 6

(k)

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 7

 


Question 4 :

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

(a) 0.6

(b) 2.5

(c) 1.0

(d) 3.8

(e) 13.7

(f) 21.2

(g) 6.4

 

Answer :

(a) 0.6 = 6 / 10

= 3 / 5

(b) 2.5 = 25 / 10

= 5 / 2

(c) 1.0 = 1

= 1

(d) 3.8 = 38 / 10

= 19 / 5

(e) 13. 7 = 137 / 10

(f) 21.2 = 212 / 10

= 106 / 5

(g) 6.4 = 64 / 10

= 32 / 5

 


Question 5 :

Express the following as cm using decimals.

(a) 2 mm

(b) 30 mm

(c) 116 mm

(d) 4 cm 2 mm

(e) 162 mm

(f) 83 mm

 

Answer :

We know that

1 cm = 10 mm

1 mm = 1 / 10 cm

(a) 2 mm = 2 / 10 cm

= 0.2 cm

(b) 30 mm = 30 / 10 cm

= 3.0 cm

(c) 116 mm = 116 / 10 cm

= 11.6 cm

(d) 4 cm 2 mm = [(4 + 2 / 10)] cm

= 4.2 cm

(e) 162 mm = 162 / 10 cm

= 16.2 cm

(f) 83 mm = 83 / 10 cm

= 8.3 cm

 


Question 6 :

Between which two whole numbers on the number line are the given numbers lie?

Which of these whole numbers is nearer the number?

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 8

(a) 0.8

(b) 5.1

(c) 2.6

(d) 6.4

(e) 9.1

(f) 4.9

 

Answer :

(a) 0.8 lies between 0 and 1

0.8 is nearer to 1

(b) 5.1 lies between 5 and 6

5.1 is nearer to 5

(c) 2.6 lies between 2 and 3

2.6 is nearer to 3

(d) 6.4 lies between 6 and 7

6.4 is nearer to 6

(e) 9.1 lies between 9 and 10

9.1 is nearer to 9

(f) 4.9 lies between 4 and 5

4.9 is nearer to 5

 

 


Question 7 :

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

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 13

 

 

Answer :

(a) Point A represents 0.8 cm on the given number line.

(b) Point B represents 1.3 cm on the given number line

(c) Point C represents 2.2 cm on the given number line

(d) Point D represents 2.9 cm on the given number line

 


Question 8 :

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

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

 

Answer :

(a) The length of Ramesh notebook is 9 cm 5 mm

The length in cm is [(9 + 5 / 10)] cm

= 9.5 cm

(b) The length of a gram plant is 65 mm

Hence, the length in cm is 65 / 10

= 6.5 cm





Question 9 :

 Write each of the following as decimals:

 

(a) Seven-tenths

 

(b) Two tens and nine-tenths

 

(c) Fourteen point six

 

(d) One hundred and two ones

 

(e) Six hundred point eight

 

Answer :

(a) The decimal form of Seven-tenths is 7 / 10 = 0.7

 

(b) The decimal form of two tens and nine tenths is 20 + 9 / 10 = 20.9

 

(c) The decimal form of fourteen point six is 14.6

 

(d) The decimal form of one hundred and two ones is 100 + 2 = 102.0

 

(e) The decimal form of six hundred point eight is 600.8

 


Question 10 :

 Show the following numbers on the number line.

 

(a) 0.2

 

 

(b) 1.9

 

 

(c) 1.1

 

 

(d) 2.5

 

Answer :

(a) 0.2 lies between the points 0 and 1 on the number line. The space between 0 and 1 is divided into 10 equal parts. Therefore each equal part will be equal to one-tenth. 0.2 is the second point between 0 and 1

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 9

(b) 1.9 lies between the points 1 and 2 on the number line. The space between 1 and 2 is divided into 10 equal parts. Therefore each equal part will be equal to one-tenth. 1.9 is the ninth point between 1 and 2

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 10

(c) 1.1 lies between the points 1 and 2 on the number line such that the space between 1 and 2 is divided into 10 equal parts. Therefore each equal part will be equal to one-tenth. 1.1 is the first point between 1 and 2

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 11

(d) 2.5 lies between the points 2 and 3 on the number line such that the space between 2 and 3 is divided into 10 equal parts. Therefore each equal part will be equal to one-tenth. 2.5 is the fifth point between 2 and 3

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 12

 

 


Tenths

Question 1 :

 Write each of the following decimals in words.

(a) 0.03

(b) 1.20

(c) 108.56

(d) 10.07

(e) 0.032

(f) 5.008

 

Answer :

The following are the decimals in words

(a) 0.03 = zero point zero three

(b) 1.20 = one point two zero

(c) 108.56 = one hundred eight point five six

(d) 10.07 = ten point zero seven

(e) 0.032 = zero point zero three two

(f) 5.008 = five point zero zero eight

 


Question 2 :

Between which two numbers in the tenths place on the number line does each of the given number lies?

(a) 0.60

(b) 0.45

(c) 0.19

(d) 0.66

(e) 0.92

(f) 0.57

 

Answer :

(a) 0.60 lies between 0 and 0.1 in the tenths place

(b) 0.45 lies between 0.4 and 0.5 in the tenths place

(c) 0.19 lies between 0.1 and 0.2 in the tenths place

(d) 0.66 lies between 0.6 and 0.7 in the tenths place

(e) 0.92 lies between 0.9 and 1.0 in the tenths place

(f) 0.57 lies between 0.5 and 0.6 in the tenths place

 


Question 3 :

Write as fractions in the lowest terms.

(a) 0.60

(b) 0.05

(c) 0.75

(d) 0.18

(e) 0.25

(f) 0.125

(g) 0.066

 

Answer :

(a) 0.60 = 60 / 100

= 6 / 10

= 3 / 5

(b) 0.05 = 5 / 100

= 1 / 20

(c) 0.75 = 75 / 100

= 3 / 4

(d) 0.18 = 18 / 100

= 9 / 50

(e) 0.25 = 25 / 100

= 1 / 4

(f) 0.125 = 125 / 1000

= 1 / 8

(g) 0.066 = 66 / 1000

= 33 / 500


Question 4 :

 

Complete the table as per these boxes and use decimals to write the number.

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2 - 1

 

 

Answer :

 

Rows

Ones

Tenths

Hundreds

Number

(a)

0

2

6

0.26

(b)

1

3

8

1.38

(c)

1

2

8

1.28

 


Question 5 :

 Write the following decimals in the place value table.

(a) 0.29

(b) 2.08

(c) 19.60

(d) 148.32

(e) 200.812

 

Answer :

(a) 0.29

= 0.2 + 0.09

= 2 / 10 + 9 / 100

(b) 2.08

= 2 + 0.08

= 2 + 8 / 100

(c) 19.60

= 19 + 0.60

= 10 + 9 + 6 / 10

(d) 148.32

= 148 + 0.3 + 0.02

= 100 + 40 + 8 + 3 / 10 + 2 / 100

(e) 200.812

= 200 + 0.8 + 0.01 + 0.002

=200 + 8 / 10 + 1 / 100 + 2 / 1000

Hundreds

Tens

Ones

Tenths

Hundredths

Thousandths

0

0

0

2

9

0

0

0

2

0

8

0

0

1

9

6

0

0

1

4

8

3

2

0

2

0

0

8

1

2

 


Question 6 :

 Write each of the following as decimals.

(a) 20 + 9 + 4 / 10 + 1 / 100

(b) 137 + 5 / 100

(c) 7 / 10 + 6 / 100 + 4 / 1000

(d) 23 + 2 / 10 + 6 / 1000

(e) 700 + 20 + 5 + 9 / 100

 

Answer :

(a) 20 + 9 + 4 / 10 + 1 / 100

= 29 + 0.4 + 0.01

= 29.41

(b) 137 + 5 / 100

= 137 + 0.05

= 137.05

(c) 7 / 10 + 6 / 100 + 4 / 1000

= 0.7 + 0.06 + 0.004

=0.764

(d) 23 + 2 / 10 + 6 / 1000

= 23 + 0.2 + 0.006

= 23.206

(e) 700 + 20 + 5 + 9 / 100

= 725 + 0.09

= 725.09

 


Question 7 :

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

Rows

Hundreds

Tens

Ones

Tenths

Hundredths

Thousandths

 

100

10

1

1/10

1/100

1/1000

(a)

0

0

3

2

5

0

(b)

1

0

2

6

3

0

(c)

0

3

0

0

2

5

(d)

2

1

1

9

0

2

(e)

0

1

2

2

4

1

 

Answer :

(a) 3 + 2 / 10 + 5 / 100

= 3 + 0.2 + 0.05

= 3.25

(b) 100 + 2 + 6 / 10 + 3 / 100

= 102 + 0.6 + 0.03

= 102.63

(c) 30 + 2 / 100 + 5 / 1000

= 30 + 0.02 + 0.005

= 30.025

(d) 200 + 10 + 1 + 9 / 10 + 2 / 1000

= 211 + 0.9 + 0.002

= 211.902

(e) 10 + 2 + 2 / 10 + 4 / 100 + 1 / 1000

= 12 + 0.2 + 0.04 + 0.001

= 12.241

 


Hundredths

Question 1 :

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

 

Answer :

Five more examples are given below:

(a) 32.55 or 32.5

The whole parts for both numbers are the same. The tenth part is also equal, but the hundredth part of 32.55 is greater than that of 32.5.

Hence, 32.55 > 32.5.

(b) 1 or 0.99

The whole part of 1 is greater than that of 0.99.

∴ 1 > 0.99.

(c) 1.09 or 1.093

Here, both numbers have the same parts up to the hundredth part. But the thousandth part of 1.093 is greater than that of 1.09.

∴ 1.093 > 1.09.

(d) 2 or 1.99

The whole part of 2 is greater than that of 1.99.

∴ 2 > 1.99.

(e) 2.08 or 2.085

Here, both numbers have the same parts up to the hundredth. But the thousandth part of 2.085 is greater than that of 2.08.

∴ 2.085 > 2.08


Question 2 :

Which is greater?

 

(a) 0.3 or 0.4

 

(b) 0.07 or 0.02

 

(c) 3 or 0.8

 

(d) 0.5 or 0.05

 

(e) 1.23 or 1.20

 

(f) 0.099 or 0.19

 

(g) 1.5 or 1.50

 

(h) 1.431 or 1.490

 

(i) 3.3 or 3.300

 

(j) 5.64 or 5.603

 

Answer :

(a) 0.3 or 0.4

The whole parts for both numbers are the same. We know that the tenth part of 0.4 is greater than that of 0.3.

∴ 0.4 > 0.3.

(b) 0.07 or 0.02

Both the numbers have the same parts up to the tenth place, but the hundredth part of 0.07 is greater than that of 0.02.

∴ 0.07 > 0.02.

(c) 3 or 0.8

The whole part of 3 is greater than that of 0.8.

∴ 3 > 0.8.

(d) 0.5 or 0.05

The whole parts for both numbers are the same. But, the tenth part of 0.5 is greater than that of 0.05.

∴ 0.5 > 0.05.

(e) 1.23 or 1.20

Here, both the numbers have the same parts up to the tenth place. The hundredth part of 1.23 is greater than that of 1.20.

∴ 1.23 > 1.20.

(f) 0.099 or 0.19

The whole parts for both numbers are the same. But, the tenth part of 0.19 is greater than that of 0.099.

∴ 0.099 < 0.19.

(g) 1.5 or 1.50

We can find that both numbers have the same parts up to the tenth place. Here, 1.5 have no digit at the hundredth place. It represents that this digit is 0, which is equal to the digit at the hundredth place of 1.50.

∴ Both these numbers are equal.

(h) 1.431 or 1.490

Here, both the numbers have the same parts up to the tenth place, but the hundredth part of 1.490 is greater than that of 1.431.

∴ 1.431 < 1.490.

(i) 3.3 or 3.300

Here, both numbers have the same parts up to the tenth place. There are no digits at the hundredth and thousandth place of 3.3. It represents that these numbers are 0, which is equal to the digits at the hundredth and thousandth place of 3.300.

∴ Both these numbers are equal.

(j) 5.64 or 5.603

Here, both numbers have the same parts up to the tenth place, but the hundredth part of 5.64 is greater than that of 5.603.

∴ 5.64 > 5.603.

 


Comparing Decimals

Question 1 :

Express as cm using decimals:

(a) 5 mm

(b) 60 mm

(c) 164 mm

(d) 9 cm 8 mm

(e) 93 mm

 

Answer :

We know that there are 10 mm in 1 cm

(a) 5 mm = 5 / 10 cm

= 0.5 cm

(b) 60 mm = 60 / 10 cm

= 6.0 cm

(c) 164 mm = 164 / 10 cm

= 16.4 cm

(d) 9 cm 8 mm = [(9 + 8 / 10)] cm

= 9.8 cm

(e) 93 mm = 93 / 10 cm

= 9.3 cm

 


Question 2 :

Express as km using decimals:

(a) 8 m

(b) 88 m

(c) 8888 m

(d) 70 km 5 m

 

Answer :

We know that there are 1000 metres in 1 km

(a) 8 m = 8 / 1000 km

= 0.008 km

(b) 88 m = 88 / 1000 km

= 0.088 km

(c) 8888 m = 8888 / 1000 km

= 8.888 km

(d) 70 km 5 m = [(70 + 5 / 1000)] km

= 70.005 km

 


Question 3 :

 Express as kg using decimals:

(a) 2 g

(b) 100 g

(c) 3750 g

(d) 5 kg 8 g

(e) 26 kg 50 g

 

Answer :

We know that there are 1000 grams in 1 kg

(a) 2 g = 2 / 1000 kg

= 0.002 kg

(b) 100 g = 100 / 1000 kg

= 0.1 kg

(c) 3750 g = 3750 / 1000 kg

= 3.750 kg

(d) 5 kg 8 g = [(5 + 8 / 1000)] kg

= 5.008 kg

(e) 26 kg 50 g = [(26 + 50 / 1000)] kg

= 26.050 kg

 


Question 4 :

 Express as rupees using decimals:

(a) 5 paise

(b) 75 paise

(c) 20 paise

(d) 50 rupees 90 paise

(e) 725 paise

 

Answer :

We know that there are 100 paise in 1 rupee

(a) 5 paise = 5 / 100 rupees

= Rupees 0.05

(b) 75 paise = 75 / 100 rupees

= Rupees 0.75

(c) 20 paise = 20 / 100 rupees

= Rupees 0.20

(d) 50 rupees 90 paise = [(50 + 90 / 100)] rupees

= Rupees 50.90

(e) 725 paise = 725 / 100 rupees

= Rupees 7.25

 


Question 5 :

 Express as metres using decimals:

(a) 15 cm

(b) 6 cm

(c) 2 m 45 cm

(d) 9 m 7 cm

(e) 419 cm

 

Answer :

We know that there are 100 cm in 1 metre

(a) 15 cm = 15 / 100 m

= 0.15 m

(b) 6 cm = 6 / 100 m

= 0.06 m

(c) 2 m 45 cm = [(2 + 45 / 100)] m

= 2.45 m

(d) 9 m 7 cm = [(9 + 7 / 100)] m

= 9.07 m

(e) 419 cm = 419 / 100 m

= 4.19 m

 


Using Decimals

Question 1 :

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

 

Answer :

Cost of Maths book = ₹ 35.75

Cost of Science book = ₹ 32.60

Total amount spent by Rashid is

35.75

+ 32.60

__________

68.35

___________

∴ Total amount of money spent by Rashid is ₹ 68.35

 


Question 2 :

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

 

Answer :

Amount given by Radhika’s mother = ₹ 10.50

Amount given by Radhika’s father = ₹ 15.80

Total amount given by her parents

10.50

+ 15.80

__________

26.30

___________

∴ Total amount of money given by Radhika’s parents is ₹ 26.30

 


Question 3 :

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.

 

Answer :

Cloth of shirt = 3 m 20 cm

Cloth of trouser = 2 m 5 cm

Total length of cloth is

3.20

+ 2.05

________

5.25

_________

∴ Total length of cloth bought by Nasreen is 5.25 m

 

 


Question 4 :

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?

 

Answer :

Distance walked by Naresh in the morning = 2 km 35 m

= [(2 + 35 /1000)] km

= 2.035 km

Distance walked by him in the evening = 1 km 7 m

= [(1 + 7 / 1000)] km

= 1.007 km

Total distance walked by Naresh is

2.035

+ 1.007

_______

3.042

________

∴ Total distance walked by Naresh is 3.042 km

 


Question 5 :

 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?

 

Answer :

Distance travelled by bus = 15 km 268 m

= [(15 + 268 / 1000)] km

= 15.268 km

Distance travelled by car = 7 km 7 m

= [(7 + 7 / 1000)] km

= 7.007 km

Distance walked by Sunita = 500 m

= 500 / 1000

= 0.500 km

Total distance of school from her residence is

15.268

7.007

+ 0.500

________

22.775

________

∴ Total distance of the school from her residence is 22.775 km

 


Question 6 :

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.

 

Answer :

Weight of rice = 5 kg 400 g

= [(5 + 400 / 1000)] kg

= 5.400 kg

Weight of sugar = 2 kg 20 g

= [(2 + 20 / 1000)] kg

= 2.020 kg

Weight of flour = 10 kg 850 g

= [(10 + 850 / 1000)] kg

= 10.850 kg

Total weight of his purchases is

5.400

2.020

+ 10.850

___________

18.270

____________

∴ Total weight of his purchases is 18.270 kg

 


Question 7 :

 Find the sum in each of the following:

 

(a) 0.007 + 8.5 + 30.08

 

(b) 15 + 0.632 + 13.8

 

(c) 27.076 + 0.55 + 0.004

 

(d) 25.65 + 9.005 + 3.7

 

(e) 0.75 + 10.425 + 2

 

(f) 280.69 + 25.2 + 38

 

 

Answer :

(a) Sum of 0.007 + 8.5 + 30.08

0.007

8.500

+ 30.080

__________

38.587

__________

(b) Sum of 15 + 0.632 + 13.8

15.000

0.632

+ 13.800

_________

29.432

__________

(c) Sum of 27.076 + 0.55 + 0.004

27.076

0.550

+ 0.004

_____________

27.630

______________

(d) Sum of 25.65 + 9.005 + 3.7

25.650

9.005

+ 3.700

__________

38.355

___________

(e) Sum of 0.75 + 10.425 + 2

0.750

10.425

+ 2.000

_________

13.175

__________

(f) Sum of 280.69 + 25.2 + 38

280.69

25.20

+ 38.00

__________

343.89

___________

 


Addition of Numbers with Decimals

Question 1 :

Subtract:

 

(a) ₹ 18.25 from ₹ 20.75

 

(b) 202.54 m from 250 m

 

(c) ₹ 5.36 from ₹ 8.40

 

(d) 2.051 km from 5.206 km

 

(e) 0.314 kg from 2.107 kg

 

 

Answer :

(a) ₹ 20.75 – ₹ 18.75

20.75

– 18.25

__________

2.50

___________

₹ 2.50

(b) 250 m – 202.54 m

250.00

– 202.54

___________

47.46

____________

47.46 m

(c) ₹ 8.40 – ₹ 5.36

8.40

– 5.36

_________

3.04

_________

₹ 3.04

(d) 5.206 km – 2.051 km

5.206

– 2.051

__________

3.155

__________

3.155 km

(e) 2.107 kg – 0.314 kg

2.107

– 0.314

_________

1.793

__________

1.793 kg

 


Question 2 :

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

 

Answer :

The money given to the shopkeeper = ₹ 50.00

The price of the book = ₹ 35.65

The money that Raju will get back from the shopkeeper will be the difference between these two.

∴ The money left with Raju is

50.00

– 35.65

___________

14.35

___________

Hence, the money left with Raju is ₹ 14.35

 


Question 3 :

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

 

Answer :

The money with Rani = ₹ 18.50

The price of an ice cream = ₹ 11.75

Now, the money left with Rani will be the difference between these two.

Hence, the money left with her is

18.50

– 11.75

__________

6.75

___________

∴ The money left with Rani is ₹ 6.75

 


Question 4 :

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

 

Answer :

The length of the cloth = 20 m 5 cm

= 20.05 m

The length of the cloth to make a curtain = 4 m 50 cm

= 4.50 m

The length of the cloth left with Tina will be the difference between these two.

Thus, the length of the cloth left with her is

20.05

– 4.50

________

15.55

________

∴ The length of the remaining cloth left with Tina is 15.55 m

 


Question 5 :

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

 

Answer :

Total distance travelled by Namita = 20 km 50 m

= 20.050 km

Distance travelled by bus = 10 km 200 m

= 10.200 km

Distance travelled by auto = Total distance travelled – Distance travelled by bus

∴ Distance to be travelled by auto is

20.050

– 10.200

________

9.850

________

∴ Namita travelled 9.850 km by auto.

 


Question 6 :

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

 

Answer :

Total weight of vegetables Aakash bought = 10.000 kg

Weight of onions = 3 kg 500 g

= 3.500 kg

Weight of tomatoes = 2 kg 75 g

= 2.075 kg

Weight of potatoes = Total weight of vegetables bought – (Weight of onions + Weight of tomatoes)

= 10.000 – (3.500 + 2.075)

3.500

+ 2.075

________

5.575

________

10.000

– 5.575

_________

4.425

_________

∴ 4.425 kg is the weight of the potatoes.




Question 7 :

Find the value of:

 

(a) 9.756 – 6.28

 

(b) 21.05 – 15.27

 

(c) 18.5 – 6.79

 

(d) 11.6 – 9.847

 

Answer :

(a) 9.756

– 6.280

_________

3.476

_________

(b) 21.05

– 15.27

___________

5.78

____________

(c) 18.50

– 6.79

___________

11.71

___________

(d) 11.600

– 9.847

____________

1.753

____________

 


Frequently Asked Questions

The NCERT solution for Class 6 Chapter 8: Decimals is important as it provides a structured approach to learning, ensuring that students develop a strong understanding of foundational concepts early in their academic journey. By mastering these basics, students can build confidence and readiness for tackling more difficult concepts in their further education. 

Yes, the NCERT solution for Class 6 Chapter 8: Decimals is quite useful for students in preparing for their exams. The solutions are simple, clear, and concise allowing students to understand them better. They can solve the practice questions and exercises that allow them to get exam-ready in no time.

You can get all the NCERT solutions for Class 6 Maths Chapter 8 from the official website of the Orchids International School. These solutions are tailored by subject matter experts and are very easy to understand. 

Yes, students must practice all the questions provided in the NCERT solution for Class 6 Maths Chapter 8: Decimals as it will help them gain a comprehensive understanding of the concept, identify their weak areas, and strengthen their preparation. 

Students can utilize the NCERT solution for Class 6 Maths Chapter 8 effectively by practicing the solutions regularly. Solve the exercises and practice questions given in the solution.

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