Decimals Ex-8.2

NCERT solutions for Maths Decimals 

NCERT Solutions for Class 6 Maths Decimals

Class –VI Mathematics

(Ex. 8.2 )

Question 1.Complete the table with the help of these boxes and use decimals to write the number:

Answer:

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 $\frac{1}{{100}}$ + 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 $\frac{1}{{10}}$ + 0 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

NCERT Solutions for Class 6 Maths Exercise 8.2

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

NCERT Solutions for Class 6 Maths Exercise 8.2

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.

NCERT Solutions for Class 6 Maths Exercise 8.2

Question 7.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

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) 0.125 = $\frac{125}{1000}=\frac{1}{8}$

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