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# 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 Hundreds (100) Tens (10) Ones (1) Tenths 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

 (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

(a) seven-tenths = 7/10 = 0.7
(b) 2 tens and 9-tenths (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   (e) 88/10 (g) 3/2

(h) 2/5

(i) 12/5     = 8 + 0.8 = 8.8  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       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      Question 7:

Between which two whole numbers on the number line are the given lie? Which of these whole numbers is nearer the number? (a) 0.8

(b) 5.1

(c) 2.6

(d) 6.4

(e) 9.1

(f) 4.9

(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 Question 9:

Write the decimal number represented by the points A, B, C, D on the given number line.     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. Exercise 8.2

Question 1:

Complete the table with the help of these boxes and use decimals to write the number.   Ones Tenths Hundredths Numbers (a) - - - - (b) - - - - (c) - - - -

 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.

 Hundreds100 Tens10 Ones1 Tenths1/10 Hundredths1/100 Thousandths1/1000 (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

(a) = 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

 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) (b) 137 + (5/100)

(c) (d) (e) (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

(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       ,

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