# Decimals

## Exercise 2.5

Question 1: Which is greater?

1. 0.5 or 0.005
2. 0.7 or 0.5
3. 7 or 0.7
4. 1.37 or 1.49
5. 2.03 or 2.30
6. 0.8 or 0.88

Answer: (a) 0.5 > 0.005, (b) 0.7 > 0.5, (c) 7 > 0.7, (d) 1.49 > 1.37, (e) 2.30 > 2.03, (f) 0.88 > 0.8

Question 2: Express as rupees using decimals:

(a) 7 paise

Answer: 7 paise = 7xx(1)/(100)=Rs. 0.07

(b) 7 rupees 7 paise

Answer: Rs. 7+7p=Rs. 7 + Rs. 7xx(1)/(100)

=Rs. 7+Rs. 0.07= Rs. 7.07

(c) 77 rupees 77 paise

Answer: Rs. 77 + 77p = Rs. 77+Rs. 77xx(1)/(100)

=Rs. 77+Rs. 0.77=Rs. 77.77

(d) 50 paise

Answer: 50p=Rs. 50xx(1)/(100)=Rs. 0.5

(e) 235 paise

Answer: 235p=Rs. 235xx(1)/(100)=Rs. 2.35

Question 3: (i) Express 5 cm in metre and kilometer (ii) Express 35 mm in cm, m and km.

Answer: 5 cm = 5xx(1)/(100)m=0.05m

5 cm = 5xx(1)/(100000)km

=0.00005 km

Question 4: Express the following in kilogram:

(a) 200 g

Answer: 200 g = (200)/(1000)kg=0.2kg

(b) 3470 g

Answer: 3470g=(3470)/(1000)kg=3.47kg

(c) 4 kg 8 g

Answer: 4kg+8g=4kg+(8)/(1000)kg

=4kg+0.008kg=4.008kg

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

(a) 20.03

Answer: 2xx10+(3)/(100)

(b) 2.03

Answer: 2xx1+(3)/(100)

(c) 200.03

Answer: 2xx100+(3)/(100)

(d) 2.034

Answer: 2xx1+(3)/(100)+(4)/(1000)

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

1. 2.56
2. 21.37
3. 10.25
4. 9.42
5. 63.352

Answer: (a) One, (b) Ten, (c) One tenth, (d) One hundredth, (e) One thousandth

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 = 7.5 km + 12.7 km = 20.2 km
Distance travelled by Ayub = 9.3 km + 11.8 km = 21.1 km
Now, 21.1 km – 20.2 km = 0.9 km
Ayub travelled more by 0.9 km or 900 m

Question 8: Shyama bought 5 kg 300g 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 Shyama = 5.30 kg + 3.25 kg = 8.55 kg
Total weight of fruits bought by Sarala = 4.80 kg + 4.15 kg = 8.95 kg
Now, 8.95 kg – 8.55 kg = 0.40 kg
Sarala bought 400 g more fruits than Shyama.

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

Answer: 42.6 – 28 = 14.6 km