DECIMALS (Exercise – 8.1)

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DECIMALS


EXERCISE – 8.1


EX 8.1 QUESTION 1.


Write the following as numbers in the given table.

Solution:

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

EX 8.1 QUESTION 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

EX 8.1 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

Solutions:

(a) Seven-tenths = 7 / 10 = 0.7

(b) Two tens and nine-tenths = 20 + 9 / 10 = 20.9

(c) Fourteen point six = 14.6

(d) One hundred and two ones =100 + 2 = 102.0

(e) Six hundred point eight = 600.8


EX 8.1 QUESTION 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) 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

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

(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


EX 8.1 QUESTION 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


EX 8.1 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

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


EX 8.1 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?
NCERT Solutions for Class 6 Maths Chapter 8 Decimals
(a) 0.8
(b) 5.1
(c) 2.6
(d) 6.4
(e) 9.1
(f) 4.9
Solution:
(a) 0.8 lies between  0 and 1.
(a) 5.1 lies between  5 and 6.
(b) 2.6 lies between  2 and 3.
(c) 6.4 lies between  6 and 7.
(d) 9.1 lies between  9 and 10.
(e) 4.9 lies between  4 and 5.


EX 8.1 QUESTION 8.


Show the following numbers on the number line.
(a) 0.2
(b) 1.9
(c) 1.1
(d) 2.5
Solution:


EX 8.1 QUESTION 9.


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

NCERT Solutions for Class 6 Maths Chapter 8 Decimals
Solution:
Point A represents 0.8
Point B represents 1.3
Point C represents 2.2
Point D represents 2.9


EX 8.1 QUESTION 10.


(a) The length of Ramesh’s notebook is 9 cm 5mm. What will be its length in cm?
(b) The length of a young gram plant is 65 mm. Express its length in cm.
Solution:

 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