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NCERT Solutions for Class 6 Maths Chapter 8: Decimals - Exercise 8.2

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NCERT Solutions for Class 6 Maths Chapter 8 (Ex 8.2)

Free PDF download of NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.2 (Ex 8.2) and all chapter exercises at one place prepared by an expert teacher as per NCERT (CBSE) books guidelines. Class 6 Maths Chapter 8 Decimals Exercise 8.2 Questions with Solutions to help you to revise complete Syllabus and Score More marks. Register and get all exercise solutions in your emails.


Class:

NCERT Solutions for Class 6

Subject:

Class 6 Maths

Chapter Name:

Chapter 8 - Decimals

Exercise:

Exercise - 8.2

Content-Type:

Text, Videos, Images and PDF Format

Academic Year:

2023-24

Medium:

English and Hindi

Available Materials:

  • Chapter Wise

  • Exercise Wise

Other Materials

  • Important Questions

  • Revision Notes



Every NCERT Solution is provided to make the study simple and interesting on Vedantu. Subjects like Science, Maths, English,Hindi will become easy to study if you have access to NCERT Solution for Class 6 Science , Maths solutions and solutions of other subjects.

Access NCERT Solutions for Class 6 Maths Chapter 8 – Decimals

Exercise 8.2

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

(a)


In the given picture, there is 0 one’s block, 2 tenths block and 6 hundred blocks. Therefore, the number will be (0.26)


Ans:  In the given picture, there is 0 one’s block, 2 tenths block and 6 hundred blocks. Therefore, the number will be $0.26$.

Thus, the table will look like this:

        Ones

          Tenths

      Hundredths

      Number

$0$

$2$

$6$

$0.26$


(b)

In the given picture , there is 1 ones block , 3 tenths block and 8 hundreds blocks.


Ans:  In the given picture , there is 1 ones block , 3 tenths block and 8 hundreds blocks. Therefore , the number will be $0 \times 1 + 2 \times \dfrac{1}{{10}} + 6 \times \dfrac{1}{{100}} = 0.26$$1 \times 1 + 3 \times \dfrac{1}{{10}} + 8 \times \dfrac{1}{{100}} = 1.38$

Thus , the table will look like:

        Ones

          Tenths

      Hundredths

      Number

$1$

$3$

$8$

$1.38$


(c)


In the given picture , there is 1 ones block , 2 tenths block and 9 hundreds blocks.


Ans:  In the given picture , there is 1 ones block , 2 tenths block and 9 hundreds blocks. Therefore , the number will be $0 \times 1 + 2 \times \dfrac{1}{{10}} + 6 \times \dfrac{1}{{100}} = 0.26$$1 \times 1 + 2 \times \dfrac{1}{{10}} + 9 \times \dfrac{1}{{100}} = 1.29$

Thus , the table will look like:

        Ones

          Tenths

      Hundredths

      Number

$1$

$2$

$9$

$1.29$


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

(a)

Hundreds 100

Tens 10

Ones 1

  Tenths

$\dfrac{1}{{10}}$

Hundredths

$\dfrac{1}{{100}}$

Thousands

$\dfrac{1}{{1000}}$

        0

      0

    3

      2

          5

      0


Ans: The number will be :

$0 \times 100 + 0 \times 10 + 3 \times 1 + 2 \times \dfrac{1}{{10}} + 5 \times \dfrac{1}{{100}} + 0 \times \dfrac{1}{{1000}} = 0 + 0 + 3 + 0.2 + 0.05 + 0$

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

The number is $3.25$.


(b) 

Hundreds100

Tens 10

Ones 1

  Tenths

$\dfrac{1}{{10}}$

Hundredths

$\dfrac{1}{{100}}$

Thousands

$\dfrac{1}{{1000}}$

1

      0

2

6

3

      0


Ans: The number will be :

$1 \times 100 + 0 \times 10 + 2 \times 1 + 6 \times \dfrac{1}{{10}} + 3 \times \dfrac{1}{{100}} + 0 \times \dfrac{1}{{1000}} = 100 + 0 + 2 + 0.6 + 0.03 + 0$

$100 + 0 + 2 + 0.6 + 0.03 + 0 = 102.63$

The number is $102.63$.


(c)

Hundreds

    100

Tens 10

Ones 1

  Tenths

$\dfrac{1}{{10}}$

  Hundredths

$\dfrac{1}{{100}}$

Thousands

$\dfrac{1}{{1000}}$

0

3

0

0

2

5


Ans: The number will be :

$0 \times 100 + 3 \times 10 + 0 \times 1 + 0 \times \dfrac{1}{{10}} + 2 \times \dfrac{1}{{100}} + 5 \times \dfrac{1}{{1000}} = 0 + 30 + 1 + 0 + 0.02 + 0.005$

$0 + 30 + 0 + 0 + 0.02 + 0.005 = 30.025$

The number is $30.025$.


(d)

Hundred 100

Tens 10

Ones 1

  Tenths

$\dfrac{1}{{10}}$

Hundredths

$\dfrac{1}{{100}}$

Thousands

$\dfrac{1}{{1000}}$

2

1

1

9

0

2


Ans: The number will be :

$2 \times 100 + 1 \times 10 + 1 \times 1 + 9 \times \dfrac{1}{{10}} + 0 \times \dfrac{1}{{100}} + 2 \times \dfrac{1}{{1000}} = 200 + 10 + 1 + 0.9 + 0 + 0.002$

$200 + 10 + 1 + 0.9 + 0 + 0.002 = 211.902$

The number is $211.902$.


(e)

Hundreds 100

Tens 10

Ones 1

 

Tenths

$\dfrac{1}{{10}}$

Hundredths

$\dfrac{1}{{100}}$

Thousands

$\dfrac{1}{{1000}}$

0

      1

2

2

4

1


Ans: The number will be :

$0 \times 100 + 1 \times 10 + 2 \times 1 + 2 \times \dfrac{1}{{10}} + 4 \times \dfrac{1}{{100}} + 1 \times \dfrac{1}{{1000}} = 0 + 10 + 2 + 0.2 + 0.04 + 0.001$

$0 + 10 + 2 + 0.2 + 0.04 + 0.001 = 12.241$

The numbers is $12.241$.


3. Write the following decimals in the place value table:

(a) $0.19$

Ans: $0.19$ in terms of hundreds, tens, ones, tenths, hundredths and thousandths can be written as:

$0.19 = 0 \times 100 + 0 \times 10 + 0 \times 1 + 1 \times \dfrac{1}{{10}} + 9 \times \dfrac{1}{{100}} + 0 \times \dfrac{1}{{1000}}$,

i.e., 0-hundred , 0-tens , 0-ones , 1-tenths , 9-hundredths and 0-thousandths.

The table will look like this:

Hundreds100

Tens 10

Ones 1

  Tenths

$\dfrac{1}{{10}}$

  Hundredths

$\dfrac{1}{{100}}$

Thousands

$\dfrac{1}{{1000}}$

0

0

0

1

9

0


(b) \[2.08\]

Ans: \[2.08\] in terms of hundreds, tens, ones, tenths, hundredths and thousandths can be written as:

$2.08 = 0 \times 100 + 0 \times 10 + 2 \times 1 + 0 \times \dfrac{1}{{10}} + 8 \times \dfrac{1}{{100}} + 0 \times \dfrac{1}{{1000}}$,

i.e., 0-hundred , 0-tens , 2-ones , 0-tenths ,8-hundredths and 0-thousandths .

The table will look like this:

Hundreds 100

Tens 10

Ones 1

  Tenths

$\dfrac{1}{{10}}$

  Hundredths

$\dfrac{1}{{100}}$

Thousands

$\dfrac{1}{{1000}}$

        0

      0

2

0

8

      0


(c) $19.60$

Ans:  $19.60$ in terms of hundreds, tens, ones, tenths, hundredths and thousandths can be written as:

$19.60 = 0 \times 100 + 1 \times 10 + 9 \times 1 + 6 \times \dfrac{1}{{10}} + 0 \times \dfrac{1}{{100}} + 0 \times \dfrac{1}{{1000}}$,

i.e., 0-hundred , 1-tens , 9-ones , 6-tenths , 0-hundredths and 0-thousandths .

The table will look like this:

Hundred 100

Tens 10

Ones 1

  Tenths

$\dfrac{1}{{10}}$

Hundredths

$\dfrac{1}{{100}}$

Thousands

$\dfrac{1}{{1000}}$

        0

1

9

6

0

      0


(d) \[148.32\]

Ans:  \[148.32\] in terms of hundreds, tens, ones, tenths, hundredths and thousandths can be written as:

$148.32 = 1 \times 100 + 4 \times 10 + 8 \times 1 + 3 \times \dfrac{1}{{10}} + 2 \times \dfrac{1}{{100}} + 0 \times \dfrac{1}{{1000}}$,

i.e., 1-hundred , 4-tens , 8-ones , 3-tenths , 2-hundredths and 0-thousandths .

The table will look like this:

Hundred 100

Tens 10

Ones 1

  Tenths

$\dfrac{1}{{10}}$

Hundredths

$\dfrac{1}{{100}}$

Thousands

$\dfrac{1}{{1000}}$

1

4

8

3

2

      0


(e) \[200.812\]

Ans:  \[200.812\] in terms of hundreds, tens, ones, tenths, hundredths and thousandths can be written as:

$200.812 = 2 \times 100 + 0 \times 10 + 0 \times 1 + 8 \times \dfrac{1}{{10}} + 1 \times \dfrac{1}{{100}} + 2 \times \dfrac{1}{{1000}}$,

i.e., 2-hundred , 0-tens , 0-ones , 8-tenths , 1-hundredths and 2-thousandths .

The table will look like this:

Hundreds 100

  Tens 10

Ones 1

  Tenths

$\dfrac{1}{{10}}$

Hundredths

$\dfrac{1}{{100}}$

Thousands

$\dfrac{1}{{1000}}$

2

0

0

8

1

2


4. Write each of the following as decimals:

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

Ans:$20 + 9 + 4 \times \dfrac{1}{{10}} + 1 \times \dfrac{1}{{100}} = 29.41$

$20 + 9 + \dfrac{4}{{10}} + \dfrac{1}{{100}}$ as decimals is $29.41$


(b) $137 + \dfrac{5}{{100}}$

Ans: $137 + \dfrac{5}{{100}} = 137 + 5 \times \dfrac{1}{{100}}$

$137 + 5 \times \dfrac{1}{{100}} = 137.05$

$137 + \dfrac{5}{{100}}$ as decimals is $137.05$.


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

Ans: $\dfrac{7}{{10}} + \dfrac{6}{{100}} + \dfrac{4}{{1000}} = 7 \times \dfrac{1}{{10}} + 6 \times \dfrac{1}{{100}} + 4 \times \dfrac{1}{{1000}}$

$7 \times \dfrac{1}{{10}} + 6 \times \dfrac{1}{{100}} + 4 \times \dfrac{1}{{1000}} = 0.764$

$\dfrac{7}{{10}} + \dfrac{6}{{100}} + \dfrac{4}{{1000}}$ as decimals is $0.764$.


(d) $23 + \dfrac{2}{{10}} + \dfrac{6}{{100}}$

Ans: $23 + \dfrac{2}{{10}} + \dfrac{6}{{100}} = 23 + 2 \times \dfrac{1}{{10}} + 6 \times \dfrac{1}{{100}}$

$23 + 2 \times \dfrac{1}{{10}} + 6 \times \dfrac{1}{{100}} = 23.26$

$23 + \dfrac{2}{{10}} + \dfrac{6}{{100}}$ as decimals is $23.26$.


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

Ans: $700 + 20 + 5 + \dfrac{9}{{100}} = 700 + 20 + 5 + 9 \times \dfrac{1}{{100}}$

$700 + 20 + 5 + 9 \times \dfrac{1}{{100}} = 725.09$

$700 + 20 + 5 + \dfrac{9}{{100}}$ as decimals is $725.09$.


5. Write each of the following decimals in words:

(a) $0.03$

Ans: $0.03$ in words is Zero point zero three.


(b) $1.20$

Ans: $1.20$ in words is One point two zero.


(c) $108.56$

Ans: $108.56$ in words is One hundred and eight-point five-six.


(d) $10.07$

Ans: $10.07$ in words is Ten point zero seven.


(e) ${\text{ }}0.032$

Ans: ${\text{ }}0.032$ in words is Zero point zero three two.


(f) $5.008$

Ans: $5.008$ in words is five-point zero zero eight.


6. Between which two numbers in tenths place on the number line does each of the given number lie?

(a)$0.06$

Ans: $0.06$ lies in between $0.0$ and $0.1$.


(b) $0.45$

Ans: $0.45$ lies in between $0.4$ and $0.5$.


(c) $0.19$

Ans: $0.19$ lies in between $0.1$ and $0.2$.


(d) $0.66$

Ans: $0.06$ lies in between $0.6$ and $0.1$.


(e) \[0.92\]

Ans: \[0.92\] lies in between \[0.8\] and \[1.0\].


(f) \[0.57\]

Ans: \[0.57\] lies in between \[0.4\] and \[0.6\].


7. Write as fractions in lowest terms:

(a)\[0.60\]

Ans: \[0.60 = 6 \times \dfrac{1}{{100}}\]

\[6 \times \dfrac{1}{{100}} = \dfrac{{60}}{{100}}\]

\[\dfrac{{60}}{{100}} = \dfrac{{60 \div 20}}{{100 \div 20}}\]

\[\dfrac{{60 \div 20}}{{100 \div 20}} = \dfrac{3}{5}\]

\[0.60\] in lowest term is \[\dfrac{3}{5}\].


(b) \[0.05\]

Ans: \[0.05 = 5 \times \dfrac{1}{{100}}\]

\[5 \times \dfrac{1}{{100}} = \dfrac{5}{{100}}\]

\[\dfrac{5}{{100}} = \dfrac{{5 \div 5}}{{100 \div 5}}\]

\[\dfrac{{5 \div 5}}{{100 \div 5}} = \dfrac{1}{{20}}\]

\[0.05\] in lowest term is \[\dfrac{1}{{20}}\].


(c) \[0.75\]

Ans: \[0.75 = 75 \times \dfrac{1}{{100}}\]

\[75 \times \dfrac{1}{{100}} = \dfrac{{75}}{{100}}\]

\[\dfrac{{75}}{{100}} = \dfrac{{75 \div 25}}{{100 \div 25}}\]

\[\dfrac{{75 \div 25}}{{100 \div 25}} = \dfrac{3}{4}\]

\[0.75\] in lowest term is \[\dfrac{3}{4}\].


(d) \[0.18\]

Ans: \[0.18 = 18 \times \dfrac{1}{{100}}\]

\[18 \times \dfrac{1}{{100}} = \dfrac{{18}}{{100}}\]

\[\dfrac{{18}}{{100}} = \dfrac{{18 \div 2}}{{100 \div 2}}\]

\[\dfrac{{18 \div 2}}{{100 \div 2}} = \dfrac{9}{{50}}\]

\[0.18\] in lowest term is \[\dfrac{9}{{50}}\].


(e) \[0.25\]

Ans: \[0.25 = 25 \times \dfrac{1}{{100}}\]

\[25 \times \dfrac{1}{{100}} = \dfrac{{25}}{{100}}\]

\[\dfrac{{25}}{{100}} = \dfrac{{25 \div 25}}{{100 \div 25}}\]

\[\dfrac{{25 \div 25}}{{100 \div 25}} = \dfrac{1}{4}\]

\[0.25\] in lowest term is \[\dfrac{1}{4}\].


(f) \[0.125\]

Ans: \[0.125 = 125 \times \dfrac{1}{{1000}}\]

\[125 \times \dfrac{1}{{1000}} = \dfrac{{125}}{{1000}}\]

\[\dfrac{{125}}{{1000}} = \dfrac{{125 \div 125}}{{1000 \div 125}}\]

\[\dfrac{{125 \div 125}}{{1000 \div 125}} = \dfrac{1}{8}\]

\[0.125\] in lowest term is \[\dfrac{1}{8}\].


(g)  \[0.066\]

Ans: \[0.066 = 66 \times \dfrac{1}{{1000}}\]

\[66 \times \dfrac{1}{{1000}} = \dfrac{{66}}{{1000}}\]

\[\dfrac{{66}}{{1000}} = \dfrac{{66 \div 2}}{{1000 \div 2}}\]

\[\dfrac{{66 \div 2}}{{1000 \div 2}} = \dfrac{{33}}{{500}}\]

\[0.066\] in lowest term is \[\dfrac{{33}}{{500}}\].


NCERT Solutions for Class 6 Maths Chapter 8 Decimals (Ex 8.2) Exercise 8.2

Opting for the NCERT solutions for Ex 8.2 Class 6 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 8.2 Class 6 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.


Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 6 students who are thorough with all the concepts from the Subject Maths textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 6 Maths Chapter 8 Exercise 8.2 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.


Besides these NCERT solutions for Class 6 Maths Chapter 8 Exercise 8.2, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it.


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