NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1 are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1.
 Decimals Class 6 Ex 8.2
 Decimals Class 6 Ex 8.3
 Decimals Class 6 Ex 8.4
 Decimals Class 6 Ex 8.5
 Decimals Class 6 Ex 8.6
Board  CBSE 
Textbook  NCERT 
Class  Class 6 
Subject  Maths 
Chapter  Chapter 8 
Chapter Name  Decimals 
Exercise  Ex 8.1 
Number of Questions Solved  10 
Category  NCERT Solutions 
NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1
Question 1.
Write the following as numbers in the given table:
(a)
(b)
Hundreds (100) 
Tens (10) 
Ones (1) 
Tenths 
Solution.
Hundreds (100) 
Tens (10) 
Ones (1) 
Tenths (\(\frac { 1 }{ 10 } \)) 

(a)  0  3  1  2 
(b)  1  1  0  4 
Question 2.
Write the following decimals in the place value table :
(a) 19.4
(b) 0.3
(c) 10.6
(d) 205.9
Solution.
Hundreds  Tens 
Ones  Tenths  
(a)  0  1  9  4 
(b)  0  0  0  3 
(c)  0  1  0  6 
(d)  2  0  5  9 
Question 3.
Write each of the following as decimals:
(a) Seventenths
(b) Two tens and ninetenths
(c) Fourteen point six
(d) One hundred and two ones
(e) Six hundred point eight
Solution.
(a) 7 tenths : \(\frac { 7 }{ 10 } \) =0.7.
(b) Two tens and ninetenths = 20 + \(\frac { 9 }{ 10 } \) =20.9
(c) Fourteen point six = 14.6
(d) One hundred and twoones =100 + 2=102
(e) Six hundred point eight = 600.8
Question 4.
Write each of the following as decimals:
(a) \(\frac { 5 }{ 10 } \)
(b) 3 +\(\frac { 7 }{ 10 } \)
(c) 200+60+5+\(\frac { 1 }{ 10 } \)
(d) 70+\(\frac { 8 }{ 10 } \)
(e) 4 \(\frac { 2 }{ 10 } \)
(g) \(\frac { 3 }{ 2 } \)
(h) \(\frac { 2 }{ 5 } \)
(i) \(\frac { 12 }{ 5 } \)
(j) 3 \(\frac { 3 }{ 5 } \)
(k) 4\(\frac { 1 }{ 2 } \)
Solution.
Question 5.
Write the following decimals as fractions. Reduce the fractions to lowest form :
(a) 0.6
(b) 205
(c) 1.0
(d) 3.8
(e) 13.7
(f) 21.2
(g) 6.4
Solution.
(a)
\(0.6=\frac { 6 }{ 10 } =\frac { 6\div 2 }{ 10\div 5 } \)
∵ H.C.F.(6,10) = 2
= \(\frac { 3 }{ 5 } \)
(b)
\(2.5=\frac { 25 }{ 10 } =\frac { 25\div 5 }{ 10\div 5 } \)
∵ H.C.F.(25,10) = 5
= \(\frac { 5 }{ 2 } \)
(c)
\(1.5=\frac { 10 }{ 10 } =\frac { 10\div 10 }{ 10\div 10 } \)
∵ H.C.F.(10,10) = 10
= \(\frac { 1 }{ 1 } \) =1
(d)
\(3.8 =\frac { 38 }{ 10 } =\frac { 38\div 2 }{ 10\div 2 } \)
∵ H.C.F.(38,10) = 2
= \(\frac { 19 }{ 5 } \)
(e)
\(13.7=\frac { 137 }{ 10 } \)
(f)
\( 21.2=\frac { 212 }{ 10 } =\frac { 212\div 2 }{ 10\div 5 } \)
∵ H.C.F.(212,10) = 5
= \(\frac { 106 }{ 5 } \)
(g)
\(6.4=\frac { 64 }{ 10 } =\frac { 64\div 2 }{ 10\div 5 } \)
∵ H.C.F.(64,10) = 2
= \(\frac { 32 }{ 5 } \)
Question 6.
Express the following as cm using decimals:
(a) 2 mm
(b) 30 mm
(c) 116 mm
(d) 4cm 2mm
(e) 11cm 52mm
(f) 83 mm
Solution.
(a)
\(2mm =\frac { 2 }{ 10 } \)
∵ \( 1mm =\frac { 1 }{ 10 } \)
= 0.2cm
(b)
\(30mm =\frac { 30 }{ 10 } \)
∵ \( 1mm =\frac { 1 }{ 10 } \)
= 3cm = 3.0cm
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?
(a) 0.8
(b) 5.1
(c) 2.6
(d) 6.4
(e) 9.0
(f) 4.9
Solution.
(a) 0.8. The number 0.8 is between the two whole numbers 0 and 1. The whole number 1 is nearer the number 0.8.
(b) 5.1. The number 5.1 is between the two whole numbers 5 and 6. The whole number 5 is nearer the number 5.1.
(c) 2.6. The number 2,6 is between the two whole numbers 2 and 3. The whole number 3 is nearer the number 2.6.
(d) 6.4 The number 6.4 is between the two whole numbers 6 and 7. The whole number 6 is nearer the number 6.4.
(e) 0. 9.0 itself is a whole number.
(f) 4.9. The number 4.9 is between the two whole numbers 4 and 5. The whole number 5 is nearer the number 4.9.
Question 8.
Show the following numbers on the number line:
(a) 2
(b) 1.9
(c) 1
(d) 2.5.
Solution.
(a) 0.2. We know that 0.2 is more than zero but less than one. There are 2tenths in it. Divide the unit length between 0 and 1 into 10 equal parts and take 2 parts as shown below:
(b) 1.9. We know that 1.9 is more than one but less than two. There are 9tenths in’it. Divide the unit length between 1 and 2 into 10 equal parts and take 9 parts as shown below:
(c) 1.1. We know that 1.1 is more than one but less than two. There is onetenth in it. Divide the unit length between 1 and 2 into 10 equal parts and take 1 part as shown below:
(d) 2.5. We know that 2.5 is more than two but less than three. There are 5tenths in it. Divide the unit length between 2 and 3 into 10 equal parts and take 5 parts as shown below :
Question 9.
Write the decimal number represented by the points A, B, C, D on the given number line :
Solution.
(i) A. The decimal number represented by the point A is 0.8 as the unit length between 0 and 1 has been divided into 10 equal parts and 8 parts have been taken.
(ii) B. The decimal number represented by the point B is 1.3 as the unit length between 1 and 2 has been divided into 10 equal parts and 3 parts have been taken.
(iii) C. The decimal number represented by the point C is 2.2 as the unit length between 2 and 3 has been divided into 10 equal parts and 2 parts have been taken.
(iv) D. The decimal number represented by the point D is 2.9 as the unit length between 2 and 3 has been divided into 10 equal parts and 9 parts have been taken.
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) Length of Ramesh’s notebook = 9 cm 5mm
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