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NCERT Solutions for Class 6 Maths Chapter 8 Decimals

NCERT Solutions for Class 6 Maths Chapter 8 has been provided for the reference of class 6 students in detail below. Students can check the complete NCERT solutions for class 6 Maths chapter 8 here

Jasdeep Bhatia6 Jan, 2024

NCERT Solutions for Class 6 Maths Chapter 8

NCERT Solutions for Class 6 Maths Chapter 8: NCERT Solutions for Class 6 Maths Chapter 8 on Decimals are given to assist Class 6 students in grasping the concept of decimals and practicing it thoroughly. The experts at PhysicsWallah have created these solutions to offer various methods to solve the questions in line with the CBSE syllabus for Class 6 Maths Chapter 8. Students can download these resources for future reference and practice the questions from this chapter. Comparing their answers with the NCERT Solutions for Class 6 will help students identify mistakes and improve their approach.

NCERT Solutions for Class 6 Maths Chapter 8 Decimals

Students planning to use PhysicsWallah's NCERT Solutions for Class 6 Maths Chapter 8 can enhance their exam performance. These solutions are designed to assist students with clear and concise questions and answers, following an exam-like format for familiarity. Keep reading for more information:

CBSE Admit Card 2024

Exercise 8.1 Page No. 167 1. Write the following numbers in the given table.

Hundreds	Tens	Ones	Tenths
(100)	(10)	(1)	(1 / 10)

Solutions:

Rows	Hundreds	Tens	Ones	Tenths
a	0	3	1	2
b	1	1	0	4

2. Write the following decimals in the place value table. (a) 19.4 (b) 0.3 (c) 10.6 (d) 205.9 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

3. 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 Solutions: (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

4. 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) (g) 3 / 2 (h) 2 / 5 (i) 12 / 5 (j) (k) Solutions: (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)

(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

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

(a) 0.6 (b) 2.5 (c) 1.0 (d) 3.8 (e) 13.7 (f) 21.2 (g) 6.4 Solutions: (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 6. 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 Solutions: 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

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

Which of these whole numbers is nearer the number?

(a) 0.8 (b) 5.1 (c) 2.6 (d) 6.4 (e) 9.1 (f) 4.9 Solutions: (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 8. Show the following numbers on the number line. (a) 0.2 (b) 1.9 (c) 1.1 (d) 2.5 Solutions: (a) 0.2 lies between 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. Thus, 0.2 is the second point between 0 and 1.

(b) 1.9 lies between 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. Thus, 1.9 is the ninth point between 1 and 2.

(c) 1.1 lies between 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. Thus, 1.1 is the first point between 1 and 2.

(d) 2.5 lies between 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. Thus, 2.5 is the fifth point between 2 and 3.

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

Solutions: (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 10. (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. Solutions: (a) The length of Ramesh’s notebook is 9 cm 5 mm The length in cm is [(9 + 5 / 10)] cm = 9.5 cm (b) The length of the gram plant is 65 mm Hence, the length in cm is 65 / 10 = 6.5 cm

CBSE Board Exam Centre List 2024

Exercise 8.2 Page No. 173 1. Complete the table with the help of these boxes and use decimals to write the number.

Solutions:

Rows	Ones	Tenths	Hundreds	Number
(a)	0	2	6	0.26
(b)	1	3	8	1.38
(c)	1	2	8	1.28

2. 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

Solutions: (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

3. Write the following decimals in the place value table.

(a) 0.29 (b) 2.08 (c) 19.60 (d) 148.32 (e) 200.812 Solutions: (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

4. 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 Solutions: (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

5. 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 Solutions: 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 eight 6. Between which two numbers in tenths place on the number line does each of the given number lie? (a) 0.60 (b) 0.45 (c) 0.19 (d) 0.66 (e) 0.92 (f) 0.57 Solutions: (a) 0.60 lies between 0 and 0.1 in tenths place (b) 0.45 lies between 0.4 and 0.5 in tenths place (c) 0.19 lies between 0.1 and 0.2 in tenths place (d) 0.66 lies between 0.6 and 0.7 in tenths place (e) 0.92 lies between 0.9 and 1.0 in tenths place (f) 0.57 lies between 0.5 and 0.6 in tenths place 7. 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 Solutions: (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

CBSE Syllabus Class 6
CBSE Class 6 Science Syllabus	CBSE Class 6 Maths Syllabus
CBSE Class 6 Social Science Syllabus	CBSE Class 6 English Syllabus

Exercise 8.3 Page No. 175 1. 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 Solutions: (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. Here, 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. Here, the tenth part of 0.19 is greater than that of 0.099. ∴ 0.099 < 0.19. (g) 1.5 or 1.50 We may 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. 2. Make five more examples and find the greater number from them. Solutions: 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. 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,

Related Links

NCERT Solutions for Class 6 Maths Chapter 1	NCERT Solutions for Class 6 Maths Chapter 12
NCERT Solutions for Class 6 Maths Chapter 3	NCERT Solutions for Class 6 Maths Chapter 13
NCERT Solutions for Class 6 Maths Chapter 4	NCERT Solutions for Class 6 Maths Chapter 14
NCERT Solutions for Class 6 Maths Chapter 5
NCERT Solutions for Class 6 Maths Chapter 2
NCERT Solutions For Class 6 maths Chapter 7
NCERT Solutions for Class 6 Maths Chapter 6
NCERT Solutions for Class 6 Maths Chapter 9
NCERT Solutions for Class 6 Maths Chapter 10
NCERT Solutions for Class 6 Maths Chapter 11

Exercise 8.4 Page No. 177 1. Express as rupees using decimals. (a) 5 paise (b) 75 paise (c) 20 paise (d) 50 rupees 90 paise (e) 725 paise Solutions: 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 2. Express as metres using decimals. (a) 15 cm (b) 6 cm (c) 2 m 45 cm (d) 9 m 7 cm (e) 419 cm Solutions: 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 3. Express as cm using decimals (a) 5 mm (b) 60 mm (c) 164 mm (d) 9 cm 8 mm (e) 93 mm Solutions: 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 4. Express as km using decimals. (a) 8 m (b) 88 m (c) 8888 m (d) 70 km 5 m Solutions: 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 5. Express as kg using decimals. (a) 2 g (b) 100 g (c) 3750 g (d) 5 kg 8 g (e) 26 kg 50 g Solutions: 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

NCERT Solutions for Class 6 Maths Chapter 8 FAQs

How can I complete NCERT Solution Class 6 Chapter 8 faster?

To complete it faster, focus on understanding key concepts, practice regularly, and use effective study techniques.

What steps can I take to score full marks in Class 6 Maths Chapter 8 Decimals?

Score full marks by mastering decimal operations through consistent practice, understanding problem-solving techniques, and seeking clarification on doubts.

What are Decimals according to Chapter 8 of Class 6 Maths?

According to Chapter 8, decimals are numerical values that include a decimal point to represent parts of a whole, enabling precise representation of fractional quantities.

How do you add decimals as taught in Class 6 Maths?

In Class 6 Maths, adding decimals involves aligning decimal points and performing addition as with whole numbers, ensuring the result maintains the correct decimal position.

What are like and unlike decimals according to Class 6 Maths?

Like decimals have the same number of decimal places, while unlike decimals have different decimal places. Understanding this distinction is crucial for accurate decimal operations in Class 6 Maths.

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NCERT Solutions for Class 6 Maths Chapter 8

NCERT Solutions for Class 6 Maths Chapter 8 Decimals

CBSE Admit Card 2024

Exercise 8.1 Page No. 167 1. Write the following numbers in the given table.

Hundreds	Tens	Ones	Tenths
(100)	(10)	(1)	(1 / 10)

Solutions:

Rows	Hundreds	Tens	Ones	Tenths
a	0	3	1	2
b	1	1	0	4

2. Write the following decimals in the place value table. (a) 19.4 (b) 0.3 (c) 10.6 (d) 205.9 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

4. Write each of the following as decimals:

(f)

(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

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

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

Which of these whole numbers is nearer the number?

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

CBSE Board Exam Centre List 2024

Exercise 8.2 Page No. 173 1. Complete the table with the help of these boxes and use decimals to write the number.

Solutions:

Rows	Ones	Tenths	Hundreds	Number
(a)	0	2	6	0.26
(b)	1	3	8	1.38
(c)	1	2	8	1.28

2. 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

3. Write the following decimals in the place value table.

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

5. Write each of the following decimals in words.

CBSE Syllabus Class 6
CBSE Class 6 Science Syllabus	CBSE Class 6 Maths Syllabus
CBSE Class 6 Social Science Syllabus	CBSE Class 6 English Syllabus

Related Links

NCERT Solutions for Class 6 Maths Chapter 1	NCERT Solutions for Class 6 Maths Chapter 12
NCERT Solutions for Class 6 Maths Chapter 3	NCERT Solutions for Class 6 Maths Chapter 13
NCERT Solutions for Class 6 Maths Chapter 4	NCERT Solutions for Class 6 Maths Chapter 14
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