**Chapter 2 Fractions and Decimals Exercise 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

Solution:

(i) 0.5 or 0.05

Comparing the tenths place, we get 5 > 0

∴ 0.5 > 0.05

(ii) 0.7 or 0.5

Comparing the tenths place, we get 7 > 5

∴ 0.7 > 0.5

(iii) 7 or 0.7

Comparing the one’s place, we get 7 > 0

∴ 7 > 0.7

(iv) 1.37 or 1.49

Comparing the tenths place, we get 3 < 4

∴ 1.37 < 1.49 or 1.49 > 1.37

(v) 2.03 or 2.30

Comparing the tenths place, we get 0 < 3

∴ 2.03 < 2.30 or 2.30 > 2.03

(vi) 0.8 or 0.88 ⇒ 0.80 or 0.88

Since tenths place is same.

Comparing the hundredth place, we get 0 < 8

∴ 0.80 < 0.88 or 0.88 > 0.80

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

Solution:

Question 3.

(i) Express 5 cm in metre and kilometre

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

Solution:

Question 4.

Express in kg:

(i) 200 g

(ii) 3470 g

(iii) 4 kg 8 g

Solution:

Question 5.

Write the following decimal numbers in the expanded form:

(i) 20.03

(ii) 2.03

(iii) 200.03

(iv) 2.034

Solution:

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?

Solution:

Distance travelled by Dinesh from A to C

= AB + BC

= 7.5 km +- 12.7 km

= 20.2 km

Distance travelled by Ayub from A to C

= AD + DC

= 9.3 km + 11.8 km = 21.1 km

Since 21.1 km > 20.2 km.

Hence, Ayub travelled more distance.

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?

Solution:

Fruits bought by Shyama

= 5 kg 300 g apples + 3 kg 250 g mangoes

= 5.300 kg apples + 3.250 kg mangoes

= 8.550 kg of fruits

Fruits bought by Sarala

= 4 kg 800 g oranges +- 4 kg 150 g bananas

= 4.800 kg oranges + 4.150 kg bananas

= 8.950 kg of fruits

Since 8.950 kg > 8.550 kg

Hence, Sarala bought more fruits.

Question 9.

How much less is 28 km than 42.6 km?

Solution:

Since 28 km < 42.6 km

Hence, 28 km is less than 42.6 km by 14.6 km.