NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1

These NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1 Questions and Answers are prepared by our highly skilled subject experts.

NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1

Question 1.
Write the following as numbers in the given table.
NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1 1
Answer:
NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1 2

NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1

Question 2.
Write the following decimals in the place value table.
(a) 19.4
(b) 0.3
(c) 10.6
(d) 205.9
Answer:

(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:
(a) The decimal-form of seven-tenths is 7 = \(\frac{7}{10}\) = 0.7
(b) 2 tens and 9-tenths
= 2 x 10 + \(\frac{9}{10}\) = 20 + 0.9
= 20.9
(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

NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1

Question 4.
Write each of the following as decimals:
Answer:
(a) \(\frac{5}{10}\) = 0.5
(b) 3 + \(\frac{7}{10}\) = 3 + 0.7 = 3.7
(c) 200 + 60 + 5 + \(\frac{1}{10}\)
= 200 + 60 + 5 + 0.1 = 265.1
(d) 70 + \(\frac{8}{10}\) = 70 + 0.8 = 70.8
(e) \(\frac{88}{10}=\frac{80+8}{10}=\frac{80}{10}+\frac{8}{10}\)
= 8 + \(\frac{8}{10}\) = 8 + 0.8 = 8.8
(f) 4\(\frac{2}{10}\) = 4 + \(\frac{2}{10}\) = 4 + 0.2 = 4.2
(g) \(\frac{3}{2}=\frac{3 \times 5}{2 \times 5}=\frac{15}{10}=\frac{10+5}{10}\)
= \(\frac{10}{10}+\frac{5}{10}\) = 1 + 0.5 = 1.5
(h) \(\frac{2}{5}=\frac{2 \times 5}{5 \times 2}=\frac{4}{10}\) = 0.4
(i) \(\frac{12}{5}=\frac{12 \times 2}{5 \times 2}=\frac{24}{10}=\frac{20+4}{10}\)
= \(\frac{20}{10}+\frac{4}{10}\) = 2 + 0.4 = 2.4
(j) \(3 \frac{3}{5}=3+\frac{3}{5}=3+\frac{3 \times 2}{5 \times 2}\)
= 3 + \(\frac{6}{10}\) = 3 + 0.6 = 3.6
(k) \(4 \frac{1}{2}=4+\frac{1}{2}=4+\frac{1 \times 5}{2 \times 5}\)
= 4 + \(\frac{5}{10}\) = 4 + 0.5 = 4.5

Question 5.
Write the following decimals as fractions. Reduce the fractions to lowest form.
Answer:
(a) 0.6 = \(\frac{6}{10}=\frac{3}{5}\)
(b) 2.5 = \(\frac{25}{10}=\frac{5}{2}\)
(c) 1.0 = \(\frac{10}{10}\) = 1
(d) 3.8 = \(\frac{38}{10}=\frac{19}{5}\)
(e) 13.7 = \(\frac{137}{10}\)
(f) 21.2 = \(\frac{212}{10}=\frac{106}{5}\)
(g) 6.4 = \(\frac{64}{10}=\frac{32}{5}\)

NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1

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:
(a) ∵ 10 mm = 1 cm
∴ 1 mm = \(\frac { 1 }{ 10 }\) cm
∴ 2 mm = \(\frac { 1 }{ 10 }\) x 2 = 0.2 cm

(b) ∵10 mm = 1 cm
∴ 1 mm = \(\frac { 1 }{ 10 }\) cm
∴ 30 mm = \(\frac { 1 }{ 10 }\) x 20 = 3.0 cm

(c) ∵ 10 mm = 1 cm
∴ 1 mm = \(\frac { 1 }{ 10 }\) cm 10
∴ 116 mm = \(\frac { 1 }{ 10 }\) x 116 = 11.6 cm

(d) ∵ 10 mm = 1 cm
4 cm 2 mm = 4 + \(\frac { 2 }{ 10 }\) cm 10
= 4 + 0.2 = 4.2 cm

(e) ∵ 10 mm = 1 cm
∴ 1 mm = \(\frac { 1 }{ 10 }\) cm 10
∴ 162 mm = \(\frac { 1 }{ 10 }\) x 162 = 16.2 cm 10

(f) ∵ 10 mm = 1 cm
∴ 1 mm = \(\frac { 1 }{ 10 }\) cm 10
∴ 83 mm =\(\frac { 1 }{ 10 }\) x 83 = 8.3 cm 10

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?
NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1 3
(a) 0.8
(b) 5.1
(c) 2.6
(d) 6.4
(e) 9.1
(f) 4.9
Answer:
(a) 0.8 lies between 0 and 1, 0.8 is nearer to 1
(b) 5.1 lies between to 6,5.1 is nearer to 5.
(c) From 2 to 3, 2.6 is nearest to 3.
(d) 2.6 lies between 6 to 7, 6.4 is nearer to 6.
(e) 9.1 lies between 9 to 10,9.1 is nearer to 9.
(f) 4.9 lies between 4 to 5, 4.9 is nearer to 5.

NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1

Question 8.
Show the following numbers on the number line:
(a) 0.2
(b) 1.9
(c) 1.1
(d) 2.5
Answer:
NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1 6

Question 9.
Write the decimal number represented by the points A, B, C, D on the given number line.
NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1 5
Answer:
A = 0 + \(\frac{8}{10}\) = 0.8
B = 1 + \(\frac{3}{10}\) = 1.3
C = 2 + \(\frac{2}{10}\) = 2.2
D = 2 + \(\frac{9}{10}\) = 2.9

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:
(a) 9 cm 5 mm = 9 cm + 5 mm
= 9 + \(\frac{5}{10}\) = 9.5 cm
(b) 65 mm = \(\frac{65}{10}\) cm = 6.5 cm

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