NCERT Solutions for Class 7 Maths Exercise 2.5

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NCERT solutions for Maths Fractions and Decimals Download as PDF

NCERT Solutions for Class 7 Maths Fractions and Decimals

Class –VII Mathematics (Ex. 2.5)

Question 1.Which is greater:

(i) 0.5 or 0.05

(ii) 0.7 or 0.5

(iii) 7 or 0.7

(iv) 1.37 or 1.49

(v) 2.03 or 2.30

(vi) 0.8 or 0.88

Answer:

(i) 0.5 > 0.05

(ii) 0.7 > 0.5

(iii) 7 > 0.7

(iv) 1.37 < 1.49

(v) 2.03 < 2.30

(vi) 0.8 < 0.88

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NCERT Solutions for Class 7 Maths Exercise 2.5

Question 2.Express as rupees using decimals:

(i) 7 paise

(ii) 7 rupees 7 paise

(iii) 77 rupees 77 paise

(iv) 50 paise

(v) 235 paise

Answer:

{tex}\because {/tex} 100 paise = Re. 1

{tex}\therefore {/tex} 1 paisa = Re. {tex}\frac{1}{{100}}{/tex}

7 paise = Re. {tex}\frac{7}{{100}}{/tex} = Re. 0.07

7 rupees 7 paise = Rs. 7 + Re. {tex}\frac{7}{{100}}{/tex} = Rs. 7 + Re. 0.07 = Rs. 7.07

77 rupees 77 paise = Rs. 77 + Re. {tex}\frac{{77}}{{100}}{/tex} = Rs. 77 + Re. 0.77 = Rs. 77.77

50 paise = Re. {tex}\frac{{50}}{{100}}{/tex} = Re. 0.50

235 paise = Re. {tex}\frac{{235}}{{100}}{/tex} = Rs. 2.35

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Question 3.

(i) Express 5 cm in metre and kilometer.

(ii) Express 35 mm in cm, m and km.

Answer:

(i) Express 5 cm in meter and kilometer.

{tex}\because {/tex} 100 cm = 1 meter

{tex}\therefore {/tex} 1 cm = {tex}\frac{1}{{100}}{/tex} meter {tex} \Rightarrow {/tex} 5 cm = {tex}\frac{5}{{100}}{/tex} = 0.05 meter.

Now, {tex}\because {/tex} 1000 meters = 1 kilometers

{tex}\therefore {/tex} 1 meter = {tex}\frac{1}{{1000}}{/tex} kilometer

{tex} \Rightarrow {/tex} 0.05 meter = {tex}\frac{{0.05}}{{1000}}{/tex} = 0.00005 kilometer

(ii) Express 35 mm in cm, m and km.

{tex}\because {/tex} 10 mm = 1 cm

{tex}\therefore {/tex} 1 mm = {tex}\frac{1}{{10}}{/tex} cm {tex} \Rightarrow {/tex} 35 mm = {tex}\frac{{35}}{{10}}{/tex} = 3.5 cm

Now, {tex}\because {/tex} 100 cm = 1 meter

{tex}\therefore {/tex} 1 cm = {tex}\frac{1}{{100}}{/tex} meter {tex} \Rightarrow {/tex}3.5 cm = {tex}\frac{{3.5}}{{100}}{/tex} = 0.035 meter

Again, {tex}\because {/tex} 1000 meters = 1 kilometers

{tex}\therefore {/tex} 1 meter = {tex}\frac{1}{{1000}}{/tex} kilometer

{tex} \Rightarrow {/tex} 0.035 meter = {tex}\frac{{0.035}}{{1000}}{/tex} = 0.000035 kilometer

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Question 4.Express in kg.:

(i) 200 g

(ii) 3470 g

(iii)4 kg 8 g

Answer:

Les us consider , 1000 g = 1 kg {tex} \Rightarrow {/tex} 1 g = {tex}\frac{1}{{1000}}{/tex} kg

200 g = {tex}\left( {200 \times \frac{1}{{1000}}} \right){/tex} kg = 0.2 kg

3470 g = {tex}\left( {3470 \times \frac{1}{{1000}}} \right){/tex} kg = 3.470 kg

4 kg 8 g = 4 kg + {tex}\left( {8 \times \frac{1}{{1000}}} \right){/tex} kg = 4 kg + 0.008 kg = 4.008 kg

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NCERT Solutions for Class 7 Maths Exercise 2.5

Question 5.Write the following decimal numbers in the expanded form:

(i) 20.03

(ii) 2.03

(iii) 200.03

(iv) 2.034

Answer:

(i) 20.03 = {tex}2 \times 10 + 0 \times 1 + 0 \times \frac{1}{{10}} + 3 \times \frac{1}{{100}}{/tex}

(ii) 2.03 = {tex}2 \times 1 + 0 \times \frac{1}{{10}} + 3 \times \frac{1}{{100}}{/tex}

(iii) 200.03 = {tex}2 \times 100 + 0 \times 10 + 0 \times 1 + 0 \times \frac{1}{{10}} + 3 \times \frac{1}{{100}}{/tex}

(iv) 2.034 = {tex}2 \times 1 + 0 \times \frac{1}{{10}} + 3 \times \frac{1}{{100}} + 4 \times \frac{1}{{1000}}{/tex}

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NCERT Solutions for Class 7 Maths Exercise 2.5

Question 6.Write the place value of 2 in the following decimal numbers:

(i) 2.56

(ii) 21.37

(iii) 10.25

(iv) 9.42

(v) 63.352

Answer:

(i) Place value of 2 in 2.56 = 2 x 1 = 2 ones

(ii) Place value of 2 in 21.37 = 2 x 10 = 2 tens

(iii) Place value of 2 in 10.25 = {tex}2 \times \frac{1}{{10}}{/tex} = 2 tenths

(iv) Place value of 2 in 9.42 = {tex}2 \times \frac{1}{{100}}{/tex} = 2 hundredth

(v) Place value of 2 in 63.352 = {tex}2 \times \frac{1}{{1000}}{/tex} = 2 thousandth

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NCERT Solutions for Class 7 Maths Exercise 2.5

Question 7.Dinesh went from place A to place B and from there to place C. A is 7.5 km from B and B is 12.7 km from C. Ayub went from place A to place D and from there to place C. D is 9.3 km from A and C is 11.8 km from D. Who travelled more and by how much?

Answer:

Distance travelled by Dinesh when he went from place A to place B = 7.5 km and from place B to C = 12.7 km.

Total distance covered by Dinesh = AB + BC

= 7.5 + 12.7 = 20.2 km

Total distance covered by Ayub = AD + DC

= 9.3 + 11.8 = 21.1 km

On comparing the total distance of Ayub and Dinesh,

21.1 km > 20.2 km

Therefore, Ayub covered more distance by 21.1 – 20.2 = 0.9 km = 900 m

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NCERT Solutions for Class 7 Maths Exercise 2.5

Question 8.Shyam bought 5 kg 300 g apples and 3 kg 250 g mangoes. Sarala^ bought 4 kg 800 g oranges and 4 kg 150 g bananas. Who bought more fruits?

Answer:

Total weight of fruits bought by Shyam = 5 kg 300 g + 3 kg 250 g = 8 kg 550 g

Total weight of fruits bought by Sarala = 4 kg 800 g + 4 kg 150 g = 8 kg 950 g

On comparing the quantity of fruits,

8 kg 550 g < 8 kg 950 g

Therefore, Sarala bought more fruits.

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NCERT Solutions for Class 7 Maths Exercise 2.5

Question 9.How much less is 28 km than 42.6 km?

Answer:

We have to find the difference of 42.6 km and 28 km.

42.6 – 28.0 = 14.6 km

Therefore 14.6 km less is 28 km than 42.6 km.

NCERT Solutions for Class 7 Maths Exercise 2.5

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