Haryana State Board HBSE 6th Class Maths Solutions Chapter 8 Decimals Ex 8.1 Textbook Exercise Questions and Answers.

## Haryana Board 6th Class Maths Solutions Chapter 8 Decimals Exercise 8.1

Question 1.

Solution:

Question 2.

Write the following decimals in the (a) 19.4 (6) 0.3 (c) 10.6 (d) 205.9

Solution:

Question 3.

Write each of the following as decimals:

(a) 7 tenths

(b) Two tens, 9 tenths

(c) Fourteen point six

(d) One Hundred and 2 ones

(e) Six hundred point eight.

Solution:

(a) 7 tenths = \(\frac{7}{10}\) = 0.7

(b) Two tens, 9 tenths = 20 + \(\frac{9}{10}\) = 20.9.

(c) Fourteen point six = 14.6.

(d) Hundred and two ones = 102.0.

(e) Six hundred point eight = 600.8.

Question 4.

Write each of the following as decimals:

Solution:

Question 5.

Write the following decimals as fractions. Reduce the fractions to their lowest forms : (a) 0.6, (b) 2.5, (c) 1.0, (d) 3.8, (e) 13.7, (f) 21.2, (g) 6.4.

Solution:

(a) 0.6 = \(\frac{6}{10}=\frac{3}{5}\)

(b) 2.5 = \(\frac{25}{10}=\frac{5}{2}\)

(c) 1.0 = 1.

(d) 3.8 = \(\frac{38}{10}=\frac{19}{5}\)

(e) 13.7 = \(\frac{137}{10}\)

(f) 21.2 = \(\frac{212}{10}=\frac{106}{5}\)

(g) 6.4 = \(\frac{64}{10}=\frac{32}{5}\)

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.

Solution:

(a) 2 mm = \(\frac{2}{10}\) = 0.2 cm.

(b) 30 mm = \(\frac{30}{10}\) = 3.0 cm

(c) 116 mm = \(\frac{116}{10}\) = 11.6 cm

(d) 4 cm 2 mm = 4 +\(\frac{2}{10}\) = 4.2 cm

(e) 162mm = 11 + \(\frac{52}{10}\) = 11 + 5.2 = 16.2 cm.

(f) 83 mm =\(\frac{83}{10}\) = 8.3 cm.

Question 7.

Between which two whole numbers on the number line are the given numbers ? Which one is nearer the number ?

(a) 0.8, (b) 5.1, (c) 2.6, (d) 6.4, (e) 9.0, (f) 4.9.

Solution:

(a) 0-1, and nearer to the number 1.

(b) 5-6, and nearer to the number 5.

(c) 2-3, and nearer to the number 3.

(d) 6-7, and nearer to the number 6.

(e) 8-10, and nearer to the number 9.

(f) 4-5, and nearer to the number 5.

Question 8.

Show the following decimal numbers on the number line :

(a) 0.2,

(b) 1.9,

(c) 1.1,

(d) 2.5.

Solution:

Question 9.

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

Solution:

(i) Point A represents the number 0.8.

(ii) Point B represents the number 1.3

(iii) Point C represents the number 2.2

(iv) Point D represents the number 2.9.

Question 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.

Solution:

(a) 9 cm 5 mm = 9 + \(\frac{5}{10}\) = 9.5 cm (b) 65 mm = \(\frac{65}{10}\) = 6.5 cm.