Chapter 8: Decimals

Q1Written answer

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

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Worked solution

(a) ₹ 20.75 – ₹ 18.75

20.75

– 18.25

__________

2.50

___________

₹ 2.50

(b) 250 m – 202.54 m

250.00

– 202.54

___________

47.46

____________

47.46 m

(c) ₹ 8.40 – ₹ 5.36

8.40

– 5.36

_________

3.04

_________

₹ 3.04

(d) 5.206 km – 2.051 km

5.206

– 2.051

__________

3.155

__________

3.155 km

(e) 2.107 kg – 0.314 kg

2.107

– 0.314

_________

1.793

__________

1.793 kg

Q2Written answer

Find the value of the following:

(a) 9.756 – 6.28

(b) 21.05 – 15.27

(c) 18.5 – 6.79

(d) 11.6 – 9.847

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Worked solution

(a) 9.756

– 6.280

_________

3.476

_________

(b) 21.05

– 15.27

___________

5.78

____________

(c) 18.50

– 6.79

___________

11.71

___________

(d) 11.600

– 9.847

____________

1.753

____________

Q3Written answer

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

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Worked solution

Money given to shopkeeper = ₹ 50.00

Price of the book = ₹ 35.65

The money Raju will get back from the shopkeeper will be the difference between these two.

∴ The money left with Raju is

50.00

– 35.65

___________

14.35

___________

Hence, the money left with Raju is ₹ 14.35.

Q4Written answer

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

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Worked solution

Money with Rani = ₹ 18.50

Price of an ice cream = ₹ 11.75

Now, the money left with Rani will be the difference between these two.

Hence, the money left with her is

18.50

– 11.75

__________

6.75

___________

∴ The money left with Rani is ₹ 6.75.

Q5Written answer

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?

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Worked solution

Length of cloth = 20 m 5 cm

= 20.05 m

Length of cloth to make a curtain = 4 m 50 cm

= 4.50 m

The length of cloth left with Tina will be the difference between these two.

Thus, the length of cloth left with her is

20.05

– 4.50

________

15.55

________

∴ The length of the remaining cloth left with Tina is 15.55 m.

Q6Written answer

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?

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Worked solution

Total distance travelled by Namita = 20 km 50 m

= 20.050 km

Distance travelled by bus = 10 km 200 m

= 10.200 km

Distance travelled by auto = Total distance travelled – Distance travelled by bus

∴ Distance to be travelled by auto is

20.050

– 10.200

________

9.850

________

∴ Namita travelled 9.850 km by auto.

Q7Written answer

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?

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Worked solution

Total weight of vegetables Aakash bought = 10.000 kg

Weight of onions = 3 kg 500 g

= 3.500 kg

Weight of tomatoes = 2 kg 75 g

= 2.075 kg

Weight of potatoes = Total weight of vegetables bought – (weight of onions + weight of tomatoes)

= 10.000 – (3.500 + 2.075)

3.500

+ 2.075

________

5.575

________

10.000

– 5.575

_________

4.425

_________

∴ 4.425 kg is the weight of the potatoes.

Disclaimer:

Dropped Topics – 8.2 Tenths, 8.3 Hundredths.

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Exercise 8.6