These NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.2 Questions and Answers are prepared by our highly skilled subject experts.

## NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.2

Question 1.

Complete the table with the help of these boxes and use decimals to write the number.

Answer:

Explanation:

(a) In this figure,

If small block out of 100 are shaded

∴ Decimal representation = 0.26

(b) 100 small blocks + 38 small blocks are shaded

∴ \(\frac{100}{100}+\frac{38}{100}=1+\frac{38}{100}\) = 1.28

1.38 is represented by the shaded portion.

(c) 100 parts + 28 parts are shaded

1.28 is represented by the shaded portion. Therefore, the table is compiled as :

Question 2.

Write the numbers given in the following place value table in decimal form.

Answer:

(a) 0 x 100 + 0 x 10 + 3 x 1 + 2 x \(\frac { 1 }{ 10 }\) + 5 x 100 + 0 x \(\frac { 1 }{ 1000 }\)

= 0 + 0 + 3 +0.2 + 0.05 + 0 = 3.25

(b) 1 x 100 + 0 x 10 + 2 x 1 + 6 x \(\frac { 1 }{ 10 }\) + 3 x \(\frac { 1 }{ 100 }\) + 0 x \(\frac { 1 }{ 1000 }\)

= 1 + 0 + 2 + 0.6 + 0.03 + 0 = 102.63

(c) 0 x 100 + 3 x 10 + 0 x 1 + 0 x \(\frac { 1 }{ 10 }\) + 2 x \(\frac { 1 }{ 100 }\) + 5 x \(\frac { 1 }{ 1000 }\)

= 0 + 30 + 0 + 0 + 0.02 + 0.005

= 30.025

(d) 2 x 100 + 1 x 10 + 1 x 1 + 9 x \(\frac { 1 }{ 10 }\) + O x \(\frac { 1 }{ 100 }\) + 2 x \(\frac { 1 }{ 1000 }\)

= 200 + 10 + 1 + 0.9 + 0 + 0.002

= 211.902

(e) 0 x 100 + 1 x 10 + 2 x 1 + 2 x \(\frac { 1 }{ 10 }\) + 4 x \(\frac { 1 }{ 100 }\) + 1 x \(\frac { 1 }{ 1000 }\)

= 0 + 10 + 2 + 0.2 + 0.04 + 0.001

= 12.241

Question 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

Answer:

Question 4.

Write each of the following as decimals:

(a) 20 + 9 + \(\frac{4}{10}+\frac{1}{100}\)

(b) 137 + \(\frac{5}{100}\)

(c) \(\frac{7}{10}+\frac{6}{100}+\frac{4}{1000}\)

(d) 23 + \(\frac{2}{10}+\frac{6}{1000}\)

(e) 700 + 20 + 5 + \(\frac{9}{100}\)

Answer:

(a) 20 + 9 + 0.4 + 0.01 = 29.41

(b) 137 + 0.05 = 137.05

(c) 0.7 + 0.06 + 0.004 = 0.764

(d) 23 + 0.2 + 0.006 = 23.206

(e) 700 + 20 + 5 + 0.09 = 725.09

Question 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

Answer:

(a) Zero point zero three

(b) One point two zero

(c) One hundred and eight point five six

(d) Ten point zero seven

(e) Zero point zero three two

(f) Five point zero zero eight

Question 6.

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

Answer:

All the numbers lie between 0 and 1

(a) 0.06 is nearer to 0.1.

(b) 0.45 is nearer to 0.5.

(c) 0.19 is nearer to 0.2.

(d) 0.66 is nearer to 0.7.

(e) 0.92 is nearer to 0.9.

(f) 0.57 is nearer to 0.6.

Question 7.

Write as fractions in lowest terms:

(a) 0.60

(b) 0.05

(c) 0.75

(d) 0.18

(e) 0.25

(f) o .125

(g) 0.066

Answer:

(a) 0.60 = \(\frac{60}{100}=\frac{3}{5}\)

(b) 0.05 = \(\frac{5}{100}=\frac{1}{20}\)

(c) 0.75 = \(\frac{75}{100}=\frac{3}{4}\)

(d) 0.18 = \(\frac{18}{100}=\frac{9}{50}\)

(e) 0.25 = \(\frac{25}{100}=\frac{1}{4}\)

(f) o .125 = \(\frac{125}{1000}=\frac{1}{8}\)

(g) 0.066 = \(\frac{66}{1000}=\frac{33}{500}\)