Access NCERT Solutions for Class 6 Chapter 8: Decimals
Exercise 8.1 page no: 167
1. Write the following numbers in the given table.
![NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 1 NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 1](https://cdn1.byjus.com/wp-content/uploads/2019/11/ncert-solutions-for-class-6-maths-chapter-8-exerci.png)
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)
![NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 5 NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 5](https://cdn1.byjus.com/wp-content/uploads/2019/11/ncert-solutions-for-class-6-maths-chapter-8-exerci-3.gif)
(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 NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 6](https://cdn1.byjus.com/wp-content/uploads/2019/11/ncert-solutions-for-class-6-maths-chapter-8-exerci-4.gif)
(k)
![NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 7 NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 7](https://cdn1.byjus.com/wp-content/uploads/2019/11/ncert-solutions-for-class-6-maths-chapter-8-exerci-5.gif)
5. 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
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?
![NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 8 NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 8](https://cdn1.byjus.com/wp-content/uploads/2019/11/ncert-solutions-for-class-6-maths-chapter-8-exerci-1.png)
(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 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 NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 9](https://cdn1.byjus.com/wp-content/uploads/2019/11/ncert-solutions-for-class-6-maths-chapter-8-exerci-2.png)
(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 NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 10](https://cdn1.byjus.com/wp-content/uploads/2019/11/ncert-solutions-for-class-6-maths-chapter-8-exerci-3.png)
(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 NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 11](https://cdn1.byjus.com/wp-content/uploads/2019/11/ncert-solutions-for-class-6-maths-chapter-8-exerci-4.png)
(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 NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 12](https://cdn1.byjus.com/wp-content/uploads/2019/11/ncert-solutions-for-class-6-maths-chapter-8-exerci-5.png)
9. 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 NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 - 13](https://cdn1.byjus.com/wp-content/uploads/2019/11/ncert-solutions-for-class-6-maths-chapter-8-exerci-6.png)
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 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
EXERCISE-8.2
- Complete the table with the help of these boxes and use decimals to write the number.
(a)
(b)
(c)
Ones |
Tenths |
Hundredths |
Number |
|
(a) |
– |
– |
– |
– |
(b) |
– |
– |
– |
– |
(c) |
– |
– |
– |
– |
- Write the numbers given in the following place value table in decimal form.
Hundreds 100 |
Tens 10 |
Ones 1 |
Tenths |
Hundredths |
Thousandths |
|
(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 |
- Write the following decimals in the place value table.
(a) 0.29 (b) 2.08 (c) 19.60 (d) 148.32 (e) 200.812
- Write each of the following decimals.
(a) (b)
(c) (d)
(e)
- 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
- Between which two numbers in tenths place on the number line does each of the given number lie?
(a) 0.06 (b) 0.45 (c) 0.19 (d) 0.66
(e) 0.92 (f) 0.57
- Write as fractions in lowest terms.
(a) 0.60 (b) 0.05 (c) 0.75 (d) 0.18
(e) 0.25 (f) 0.125 (g) 0.066
EXERCISE-8.3
- 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 1.2 (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
EXERCISE-8.4
- Express as rupees using decimals.
(a) 5 paise (b) 75 paise
(c) 20 paise (d) 50 rupees 90 paise
(e) 725 paise
- Express as metres using decimals.
(a) 15 cm (b) 6 cm
(c) 2 m 45 cm (d) 9 m 7 cm
(e) 419 cm
- Express as cm using decimals.
(a) 5 mm (b) 60 mm
(c) 164 mm (d) 9 cm 8 mm
(e) 93 mm
- Express as km using decimals.
(a) 8 m (b) 88 m
(c) 8888 m (d) 70 km 5 m
- Express as kg using decimals.
(a) 2 g (b) 100 g (c) 3750 g (d) 5 kg 8 g
(e) 26 kg 50 g
EXERCISE-8.5
- 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
- Rashid spent Rs 35.75 for Maths book and Rs 32.60 for Science book. Find the total amount spent by Rashid.
- Radhika’s mother gave her Rs 10.50 and her father gave her Rs 15.80, find the total amount given to Radhika by the parents.
- 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.
- 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?
- 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?
- 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
- Subtract:
(a) Rs 18.25 from Rs 20.75
(b) 202.54 m from 250 m
(c) Rs 5.36 from Rs 8.40
(d) 2.051 km from 5.206 km
(e) 0.314 kg from 2.107 kg
- Find the value of:
(a) 9.756 − 6.28 (b) 21.05 − 15.27
(c) 18.5 − 6.79 (d) 11.6 − 9.847
- Raju bought a book for Rs 35.65. He gave Rs 50 to the shopkeeper. How much money did he get back from the shopkeeper?
- Rani had Rs 18.50. She bought one ice-cream for Rs 11.75. How much money does she have now?
- 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?
- 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?
- 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?