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Exercise 2.5 - Chapter 2 Fractions Decimals class 7 ncert solutions Maths - SaraNextGen [2024-2025]


Updated By SaraNextGen
On April 24, 2024, 11:35 AM

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 or 0.05

Converting these decimal numbers into equivalent fractions,

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1673/Chapter%202_html_513d922d.gif

It can be observed that both fractions have the same denominator.

As 50 > 5,

Therefore, 0.5 > 0.05

(ii) 0.7 or 0.5

Converting these decimal numbers into equivalent fractions,

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1673/Chapter%202_html_m1448cf15.gif

It can be observed that both fractions have the same denominator.

As 7 > 5,

Therefore, 0.7 >0.5

(iii) 7 or 0.7

Converting these decimal numbers into equivalent fractions,

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1673/Chapter%202_html_m74dcb1a9.gif

It can be observed that both fractions have the same denominator.

As 70 > 7,

Therefore, 7 > 0.7

(iv) 1.37 or 1.49

Converting these decimal numbers into equivalent fractions,

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1673/Chapter%202_html_m69eaa932.gif

It can be observed that both fractions have the same denominator.

As 137 < 149,

Therefore, 1.37 < 1.49

(v) 2.03 or 2.30

Converting these decimal numbers into equivalent fractions,

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1673/Chapter%202_html_61731d22.gif

It can be observed that both fractions have the same denominator.

As 203 < 230,

Therefore, 2.03 < 2.30

(vi) 0.8 or 0.88

Converting these decimal numbers into equivalent fractions,

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1673/Chapter%202_html_m57182cfa.gif

It can be observed that both fractions have the same denominator.

As 80 < 88,

Therefore, 0.8 < 0.88

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:

There are 100 paise in 1 rupee. Therefore, if we want to convert paise into rupees, then we have to divide paise by 100.

(i) 7 paise = https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1675/Chapter%202_html_128464e6.gif

(ii) 7 Rs 7 paise = https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1675/Chapter%202_html_m66a79f06.gif

= Rs 7.07

(iii) 77 Rs 77 paise https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1675/Chapter%202_html_m2a31b64.gif  = Rs 77.77

(iv) 50 paise https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1675/Chapter%202_html_m33271bc9.gif

(v) 235 paise https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1675/Chapter%202_html_m7d9d3db9.gif

Question 3:

(i) Express 5 cm in metre and kilometre

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

Answer:

(i) 5 cm

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1679/Chapter%202_html_m421b0332.gif

(ii) 35 mm

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1679/Chapter%202_html_5f8277cb.gif

Question 4:

Express in kg:

(i) 200 g (ii) 3470 g (iii) 4 kg 8 g

Answer:

(i) 200 g https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1681/Chapter%202_html_m5ae637d4.gif

(ii) 3470 g https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1681/Chapter%202_html_bad091c.gif

(iii) 4 kg 8 g https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1681/Chapter%202_html_m38a4d781.gif = 4.008 kg

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 https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1691/Chapter%202_html_6bfbf578.gif

(ii) 2.03 https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1691/Chapter%202_html_m25f22e6b.gif

(iii) 200.03 https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1691/Chapter%202_html_4af8e854.gif

(iv) 2.034 https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1691/Chapter%202_html_7afcbd7b.gif

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) 2.56

Ones

(ii) 21.37

Tens

(iii) 10.25

Tenths

(iv) 9.42

Hundredths

(v) 63.352

Thousandths

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?

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1694/Chapter%202_html_m359a06b6.jpg

Answer:

Distance travelled by Dinesh = AB + BC = (7.5 + 12.7) km

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1694/Chapter%202_html_8878301.gif

Therefore, Dinesh travelled 20.2 km.

Distance travelled by Ayub = AD + DC = (9.3 + 11.8) km

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1694/Chapter%202_html_1d71e8c6.gif

Therefore, Ayub travelled 21.1 km.

Hence, Ayub travelled more distance.

Difference = (21.1 − 20.2) km

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1694/Chapter%202_html_m7339b2f7.gif

Therefore, Ayub travelled 0.9 km more than Dinesh.

Question 8:

Shyama 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 fruits bought by Shyama = 5 kg 300 g + 3 kg 250 g

= 8 kg 550 g

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1695/Chapter%202_html_m494df39d.gif

= 8.550 kg

Total fruits bought by Sarala = 4 kg 800 g + 4 kg 150 g

= 8 kg 950 g

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1695/Chapter%202_html_m20b6ac48.gif

= 8.950 kg

∴ Sarala bought more fruits.

Question 9:

How much less is 28 km than 42.6 km?

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/32/1696/Chapter%202_html_7c9d3b34.gif

Therefore, 28 km is 14.6 km less than 42.6 km.

Also Read : Exercise-2.6-Chapter-2-Fractions-Decimals-class-7-ncert-solutions-Maths

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