**Chapter 8 Decimals Ex 8.6**

**Exercise 8.6**

Question 1.

Subtract:

(a) ₹18.25 from ₹20.75

(b) 202.54 m from 250 m

(c) ₹5.36 from ₹8.40

(d) 2.051 km from 5.206 km

(e) 0.314 kg from 2.107 kg

Solution:

(a) ₹18.25 from 20.75

= 20.75 – 18.25

= 2.50

(b) 202.54 m from 250 m

= 250 m – 202.54 m

= 250.00 m – 202.54 m

= 47.46 m

(c) ₹5.36 from ₹8.40

= ₹8.40 – ₹5.36

= ₹3.04

(d) 2.051 km from 5.206 km

= 5.206 km – 2.051 km

= 3.155 km

(e) 0.314 kg from 2.107 kg

= 2.107 kg – 0.314 kg

= 1.793 kg

Question 2.

Find the value of:

(a) 9.756 – 6.28

(b) 21.05 – 15.27

(c) 18.5 – 6.79

(d) 11.6 – 9.847

Solution:

(a) We have 9.756 – 6.25

= 9.756 – 6.250

= 3.506

(b) We have 21.05 – 15.27

= 5.78

(c) We have 18.5 – 6.79

= 18.50 – 6.79

= 11.71

(d) 11.6 – 9.847

= 11.600 – 9.847

= 1.753

Question 3.

Raju bought a book for ₹35.65. He gave ₹50 to the shopkeeper. How much money did he get back from the shopkeeper?

Solution:

Cost of book = ₹35.65

Money paid by him to the shopkeeper = ₹50

∴ Money got back by him

= ₹50 – ₹35.65

= ₹50.00 – ₹35.65

= ₹14.35

Question 4.

Rani had ₹18.50. She bought one ice-cream for ₹11.75. How much money does she have now?

Solution:

Money Rani had ₹18.50

She bought ice-cream for ₹11.75

∴ Money left with Rani = ₹ 18.50 – ₹11.75 = ₹6.75

Question 5.

Tina had 20 m 5 cm long cloth. She cuts 4 m 50 cm length of cloth from this for making a curtain. How much cloth is left with her?

Solution:

Length of cloth had by Tina = 20 m 5 cm = 20.05 m

Length of cloth cut by her = 4 m 50 cm

= 4.50 m

∴ Length of cloth left with her = 20.05 m -4.50 m

= 15.55 m

Question 6.

Namita travels 20 km 50 m every day. Out of this she travels 10 km 200 m by bus and the rest by auto. How much distance does she travel by auto?

Solution:

Distance travelled by Namita daily = 20 km 50 m or 20.050 km

Distance travelled by her by bus = 10 km 200 m or 10.200 km

∴ Distance travelled by her by auto = (20.050 – 10.200) km = 9.850 km

Question 7.

Aakash bought vegetables weighing 10 kg. Out of this, 3 kg 500 g is onions, 2 kg 75 g is tomatoes and the rest is potatoes. What is the weight of the potatoes?

Solution:

Weight of vegetables bought by Aakash = 10 kg

Weight of onions bought by him = 3 kg 500 g

= 3.500 kg

and weight of tomatoes bought by him = 2 kg 75 g = 2.075 kg

∴ Weight of potatoes = Weight of vegetable – (weight of onions + weight of tomatoes)

= 10.000 – (3.500 + 2.075)

= 10.000 – 5.575 = 4.425 kg