NCERT Solutions for Class 6 Maths Exercise 8.1

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NCERT solutions for Maths Decimals Download as PDF

NCERT Solutions for Class 6 Maths Decimals

Class –VI Mathematics

(Ex. 8.1)

Question 1.Write the following as numbers in the given table:

Hundreds

(100)

Tens

(10)

Ones

(1)

Tenths

{tex}\left( {\frac{1}{{10}}} \right){/tex}

Answer:

Hundreds

(100)

Tens

(10)

Ones

(1)

Tenths

{tex}\left( {\frac{1}{{10}}} \right){/tex}

31.2

110.4

Question 2.Write the following decimals in the place value table:

(a) 19.4

(b) 0.3

(d) 205.9

Answer:

(a)

Hundreds	Tens	Once	Tenths
0	1	9	4

(b)

Hundreds	Tens	Once	Tenths
0	0	0	3

(c)

Hundreds	Tens	Once	Tenths
0	1	0	6

(d)

Hundreds	Tens	Once	Tenths
0	0	5	9

NCERT Solutions for Class 6 Maths Exercise 8.1

Question 3.Write each of the following as decimals:

(a) seven-tenths

(b) Two tens and nine-tenths

(d) One hundred and two-ones

(e) Six hundred point eight

Answer:

(a) seven-tenths = 7 tenths = {tex}\frac{7}{{10}}{/tex} = 0.7

(b) 2 tens and 9-tenths = 2 x 10 + {tex}\frac{9}{{10}}{/tex} = 20 + 0.9 =20.9

(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) {tex}\frac{5}{{10}}{/tex}

(b) {tex}3 + \frac{7}{{10}}{/tex}

(d) {tex}70 + \frac{8}{{10}}{/tex}

(e) {tex}\frac{{88}}{{10}}{/tex}

(f) {tex}4\frac{2}{{10}}{/tex}

(g) {tex}\frac{3}{2}{/tex}

(h) {tex}\frac{2}{5}{/tex}

(i) {tex}\frac{{12}}{5}{/tex}

(j) {tex}3\frac{3}{5}{/tex}

(k) {tex}4\frac{1}{2}{/tex}

Answer:

(a) {tex}\frac{5}{10}{/tex} = 0.5

(b) {tex}3+\frac{7}{10}{/tex} = 3 + 0.7 = 3.7

(d) {tex}70+\frac{8}{10}{/tex} = 70 + 0.8 = 70.8

(e) {tex}\frac{88}{10}=\frac{80+8}{10}=\frac{80}{10}+\frac{8}{10}=8+\frac{8}{10}\partial {/tex}= 8 + 0.8 = 8.8

(f) {tex}4\frac{2}{10}=4+\frac{2}{10}{/tex} = 4 + 0.2 = 4.2

(g) {tex}\frac{3}{2}=\frac{3\times 5}{2\times 5}=\frac{15}{10}=\frac{10+5}{10}=\frac{10}{10}+\frac{5}{10}{/tex} = 1 + 0.5 = 1.5

(h) {tex}\frac{2}{5}=\frac{2\times 2}{5\times 2}=\frac{4}{10}{/tex} = 0.4

(i) {tex}\frac{12}{5}=\frac{12\times 2}{5\times 2}=\frac{24}{10}=\frac{20+4}{10}=\frac{20}{10}+\frac{4}{10}{/tex} = 2 + 0.4 = 2.4

(j) {tex}3\frac{3}{5}=3+\frac{3}{5}=3+\frac{3\times 2}{5\times 2}=3+\frac{6}{10}{/tex} = 3 + 0.6 = 3.6

(k) {tex}4\frac{1}{2}=4+\frac{1}{2}=4+\frac{1\times 5}{2\times 5}=4+\frac{5}{10}{/tex} = 4 + 0.5 = 4.5

NCERT Solutions for Class 6 Maths Exercise 8.1

Question 5.Write the following decimals as fraction. Reduce the fractions to lowest terms:

(a) 0.6

(b) 2.5

(d) 3.8

(e) 13.7

(f) 21.2

(g) 6.4

Answer:

(a) 0.6 = {tex}\frac{6}{10}=\frac{3}{5}{/tex}

(b) 2.5 = {tex}\frac{25}{10}=\frac{5}{2}{/tex}

(d) 3.8 = {tex}\frac{38}{10}=\frac{19}{5}{/tex}

(e) 13.7 = {tex}\frac{137}{10}{/tex}

(f) {tex}21.2=\frac{212}{10}{/tex} = {tex}\frac{106}{5}{/tex}

(g) 6.4 = {tex}\frac{64}{10}=\frac{32}{5}{/tex}

Question 6.Express the following as cm using decimals:

(a) 2 mm

(b) 30 mm

(d) 4 cm 2 mm

(e) 162 mm

(f) 83 mm

Answer:

(a) {tex}\because {/tex} 10 mm = 1 cm