## NCERT Solutions For Class 6 Maths Decimals Exercise 8.2

NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.2

Exercise 8.2

Ex 8.2 Class 6 Maths Question 1.
Complete the table with the help of these boxes and use decimals to write the number.

Solution:

 Ones Tenths Hundredths Number (a) 0 2 6 0.26 (b) 1 3 8 1.38 (c) 1 2 8 1.28

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

∴ Decimal representation = 1.38

(c) 100 small blocks + 28 small blocks are shaded

∴ Decimal representation = 1.28

Ex 8.2 Class 6 Maths Question 2.
Write the numbers given in the following place value table in decimal form:

Solution:
(a) 0 Hundreds + 0 Tens + 3 Ones + 2 Tenths + 5 Hundredths + 0 Thousandths

= 3 + 0.2 + 0.05 + 0.000 = 3.250 = 3.25

(b) 1 Hundreds + 0 Tens + 2 Ones + 6 Tenths + 3 Hundredths + 0 Thousandths

= 102.630 = 102.63

(c) 0 Hundreds + 3 Tens + 0 Ones + 0 Tenths + 2 Hundredths + 5 Thousandths
= 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 + 0.02 + 0.005
= 30.025

(d) 2 Hundreds + 1 Tens + 1 Ones + 9 Tenths + 0 Hundredths + 2 Thousandths
= 2 x 100 + 1 x 10 + 2 x $$\frac { 1 }{ 10 }$$ + 0 x $$\frac { 1 }{ 100 }$$ + 2 x $$\frac { 1 }{ 100 }$$
= 200 + 10 + 1 + 0.9 + 0.00 + 0.002
= 211 + 0.902 = 211.902

(e) 0 Hundreds + 1 Tens + 2 Ones + 2 Tenths + 4 Hundredths + 1 Thousandths
= 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 + $$\frac { 2 }{ 10 }$$ + $$\frac { 4 }{ 100 }$$ + $$\frac { 1 }{ 1000}$$
= 12 + 0.2 + 0.04 + 0.001 = 12.241

Ex 8.2 Class 6 Maths 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
Solution:
(a) 0.29 = 0 + 0.2 + 0.09 = 0 Ones + 2 Tenths + 9 Hundredths
(b) 2.08 = 2 + 0.0 + 0.08
= 2 Ones + 0 Tenths + 8 Hundredths
(c) 19.60 = 10 + 9 + 0.6 + 0.00
= 1 Tens + 9 Ones + 6 Tenths + 0 Hundredths
(d) 148.32 = 100 + 40 + 8 + 0.3 + 0.02
= 1 Hundred + 4 Tens + 8 Ones + 3 Tenths + 2 Hundredths
(e) 200.812 = 200 + 0.8 + 0.01 + 0.002
= 2 Hundreds + 8 Tenths + 1 Hundredth + 2 Thousandths
The above information, we can gives in place value Table:

 Hund­reds (100) Tens (10) Ones (1) Ten­ths (1/10) Hund­redths (1/100) Thous­andths (1/1000) (a) 0 0 0 2 9 0 (b) 0 0 2 0 8 0 (c) 0 1 9 6 0 0 (d) 1 4 8 3 2 0 (e) 2 0 0 8 1 2

Ex 8.2 Class 6 Maths Question 4.
Write each of the following as decimals.

Solution:

Ex 8.2 Class 6 Maths 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
Solution:
(a) 0.03 = Zero point zero three
(b) 1.20 = One point two zero
(c) 108.56 = One hundred eight point fifty-six
(d) 10.07 = Ten point zero seven
(e) 0.032 = Zero point zero three two
(f) 5.008 = Five point zero zero eight

Ex 8.2 Class 6 Maths Question 6.
Between which two numbers in tenths place on the number line does each of the given numbers lie?
(a) 0.06
(b) 0.45
(c) 0.19
(d) 0.66
(e) 0.92
(f) 0.57
Solution:
(a) 0.06 lies between 0 and 0.1
(b) 0.45 lies between 0.4 and 0.5
(c) 0.19 lies between 0.1 and 0.2
(d) 0.66 lies between 0.6 and 0.7
(e) 0.92 lies between 0.9 and 1.0
(f) 0.57 lies between 0.5 and 0.6

Ex 8.2 Class 6 Maths Question 7.
Write as fraction in lowest terms.
(a) 0.60
(b) 0.05
(c) 0.75
(e) 0.25
(f) 0 .125
(g) 0.066