NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

Mathematics (Maths) Class 6

Created by: Praveen Kumar

Class 6 : NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

The document NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev is a part of the Class 6 Course Mathematics (Maths) Class 6.
All you need of Class 6 at this link: Class 6

Exercise 8.1

Question 1
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

    

Answer 1: 

Hundreds
 (100)

Tens
 (10)

Ones
 (1)

Tenths
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

0

3

2

31.2

1

1

4

110.4


Question 2

Write the following decimals in the place value table.

(a) 19.4 

(b) 0.3

(c) 10.6 

(d) 205.9

Answer 2:

(a)

Hundreds

Tens

Ones

Tenths

0

1

9

4

(b)

Hundreds

Tens

Ones

Tenths

0

0

0

3

(c)

Hundreds

Tens

Ones

Tenths

0

1

0

6

(d)

Hundreds

Tens

Ones

Tenths

2

0

5

9


Question 3

Write each of the following as decimals:
(a) Seven-tenths 

(b) Two tens and nine-tenths

(c) Fourteen point six 

(d) One hundred and two ones

(e) Six hundred point eight

Answer 3:

(a) seven-tenths = 7/10 = 0.7
(b) 2 tens and 9-tenths NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
(c) Fourteen point six = 14.6
(d) One hundred and 2-ones = 100 + 2 x 1 = 100 + 2 = 102
(e) Six hundred point eight = 600.8


Question 4

Write each of the following as decimals:

(a) 5/10

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

(e) 88/10

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

(g) 3/2

(h) 2/5

(i) 12/5
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

Answer 4:

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev= 8 + 0.8 = 8.8 

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev


Question 5

Write the following decimals as fractions. Reduce the fractions to lowest terms.

(a) 0.6 

(b) 2.5 

(c) 1.0 

(d) 3.8

(e) 13.7 

(f) 21.2 

(g) 6.4

Answer 5:

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

Question 6

Express the following as cm using decimals.

(a) 2 mm 

(b) 30 mm

(c) 116 mm 

(d) 4 cm 2 mm

(e) 162 mm 

(f) 83 mm

Answer 6:

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev


Question 7: 

Between which two whole numbers on the number line are the given lie? Which of these whole numbers is nearer the number?

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

(a) 0.8 

(b) 5.1 

(c) 2.6

(d) 6.4 

(e) 9.1 

(f) 4.9

Answer 7: 

(a) From 0 to 1, 0.8 is nearest to 1.

(b) From 5 to 6, 5.1 is nearest to 5.

(c) From 2 to 3, 2.6 is nearest to 3.

(d) From 6 to 7, 6.4 is nearest to 6.

(e) From 9 to 10, 9.1 is nearest to 9.

(f) From 4 to 5, 4.9 is nearest to 5.


Question 8: Show the following numbers on the number line: 

(a) 0.2 

(b) 1.9 

(c) 1.1 

(d) 2.5

Answer 8:

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev


Question 9: 

Write the decimal number represented by the points A, B, C, D on the given number line.

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

Answer 9: 

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev


Question 10: 

(a) The length of Ramesh’s notebook is 9 cm and 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.

Answer 10: 

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev


Exercise 8.2

Question 1:

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

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

 

Ones

Tenths

Hundredths

Numbers

(a)

          -

        -

        -

        -

(b)

        -

        -

        -

        -

(c)

        -

        -

        -

        -

 Answer 1: 

 

Ones

Tenths

Hundredths

Numbers

(a)

0

2

6

0.26

(b)

1

3

8

1.38

(c)

1

2

8

1.28


Question 2

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

 

Hundreds

100

Tens

10

Ones

1

Tenths

1/10

Hundredths

1/100

Thousandths

1/1000

(a)

0

0

3

2

5

0

(b)

1

0

2

6

3

0

(c)

0

3

0

0

2

5

(d)

2

1

1

9

0

2

(e)

0

1

2

2

4

1

Answer 2:

(a) NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

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

(b) 1 x 100 + 0 x 10 + 2 x 1 + 6 x (1/10) + 3 x 1/100 + 0 x (1/1000)

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

(c) 0 x 100 + 3 x 10 + 0 x 1 + 0 x (1/10) + 2 x 1/100 + 5 x (1/1000)

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

(d) 2 x 100 + 1 x 10 + 1 x 1 + 9 x 1/10 + 0 x 1/100 + 2 x (1/1000)

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

(e) 0 x 100 + 1 x 10 + 2 x 1 + 2 x 1/10 + 4 x 1/100 + 1 x (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 3: 

 

Numbers

Hundreds

Tens

Ones

Tenths

Hundredths

Thousandths

 

 

100

10

1

1/10

1/100

1/1000

(a)

0.29

0

0

0

2

9

0

(b)

2.08

0

0

2

0

8

0

(c)

19.60

0

1

9

6

0

0

(d)

148.32

1

4

8

3

2

0

(e)

200.812

2

0

0

8

1

2


Question 4: Write each of the following as decimals: 

(a) NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

(b) 137 + (5/100)

(c) NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

(d) NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

(e) NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

Answer 4: 

(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 5:

(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 6: 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) 0.125 

(g) 0.066

Answer 7:

NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev
NCERT Solutions(Part -1) - Decimals Class 6 Notes | EduRev

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