Class 6 Maths Chapter 8 Decimals

Exercise 8.1 Exercise 8.2 Exercise 8.3 Exercise 8.4 Exercise 8.5 Exercise 8.6

NCERT Answers for Class 6 Maths Chapter 8 Decimals Exercise 8.1

Page 167, 168

Ex 8.1 Class 6 Maths Question 1. Write the following as numbers in the given table.

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

Answer

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

Ex 8.1 Class 6 Maths Question 2. Write the following decimals in the place value table.
(a) 19.4 (b) 0.3 (c) 10.6 (d) 205.9

Answer

	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

Ex 8.1 Class 6 Maths Question 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

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 

Ex 8.1 Class 6 Maths Question 4. Write each of the following as decimals:

Answer

(a) 5/10 = 0.5

(b)  3 + 7/10 = 3 + 0.7 = 3.7

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

 

 

= 4 + 2/10 = 4 + 0.2 = 4.2

(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

 

 

= 3 + 3/5 = 3 + 0.6 = 3.6

= 4 + 1/2 = 4 + 0.5 = 4.5

Ex 8.1 Class 6 Maths Question 5. Write the following decimals as fractions. Reduce the fractions 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

Ex 8.1 Class 6 Maths Question 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

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

Ex 8.1 Class 6 Maths Question 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

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

Ex 8.1 Class 6 Maths Question 8. Show the following numbers on the number line.
(a) 0.2 (b) 1.9 (c) 1.1 (d) 2.5

Answer

 

 

 

 

Ex 8.1 Class 6 Maths Question 9. Write the decimal number represented by the points
A, B, C, D on the given number line.

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

Ex 8.1 Class 6 Maths Question 10. (a) The length of Ramesh’s notebook is 9 cm 5 mm. What will be 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 + 0.5 cm

= 9.5 cm

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

Answer

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

Hence, the length in cm is 65 / 10

= 6.5 cm