## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Ex 2.6

Question 1.
Find the following:
(i) 2.7 × 4
(ii) 2.71 × 5
(iii) 2.5 × 0.3
(iv) 2.3 × 4.35
(v) 238.06 × 7.5
(vi) 0.79 × 32.4
(vii) 1.07 × 0.02
(viii) 10.05 × 1.05
Solution:

Question 2.
find the following:
(i) 10.8 ÷ 4
(ii) 126.35 ÷ 7
(iii) 22.5 ÷ 1.5
(iv) 4.28 ÷ 0.02
(v) 3.645 ÷ 1.35
(vi) 0.728 ÷ 0.04
(vii) 13.06 ÷ 0.08
(viii) 58.635 ÷ 4.5
Solution:

Question 3.
Multiply each of the following numbers by 10, 100 and 1000 (orally):
(i) 5.9
(ii) 3.76
(iii) 0.549
Solution:
(i) 5.9 × 10 = 59
5.9 × 100 = 590
5.9 × 1000 = 5900
(ii) 3.76 × 10 = 37.6
3.76 × 100 = 376
3.76 × 1000 = 3760
(iii) 0.549 × 10 = 5.49
0.549 × 100 = 54.9
0.549 × 1000 = 549

Question 4.
Divide each of the following numbers by 10, 100 and 1000 (orally):
(i) 4.8
(ii) 38.53
(iii) 128.9
Solution:
(i) 4.8
4.8 ÷ 10 = 0.48
4.8 ÷ 100 = 0.048
4.8 ÷ 1000 = 0.0048
(ii) 38.53
38.53 ÷ 10 = 3.853
38.53 ÷ 100 = 0.3853
38.53 ÷ 1000 = 0.03853
(iii) 128.9
128.9 ÷ 10 = 12.89
128.9 ÷ 100 = 1.289
128.9 ÷ 1000 = 0.1289

Question 5.
Find the area of a rectangle whose length is 5.7 cm and breadth is 3.5 cm.
Solution:
Length of a rectangle = 5.7 cm
and Breadth = 3.5 cm
Area = Length × Breadth

= 5.7 × 3.5 sq. cm
= 19.95 sq. cm

Question 6.
The cost of one metre cloth is ₹ 38.50. Find the cost of 3.6 m cloth.
Solution:
Cost of one metre of cloth = ₹ 38.50
Cost of 3.6 m of cloth = ₹ 38.50 × 3.6

= ₹ 138.600
= ₹ 138.60

Question 7.
A two-wheeler covers a distance of 45.3 km in one litre of petrol. How much distance will it cover in 5.9 litres of petrol?
Solution:
In 1 litre of petrol, a two-wheeler cover = 45.3
In 3.9 litre of petrol, it will cover a distance of = 45.3 × 3.9 = 176.67 km

Question 8.
If 1 kg of pure milk contains 0.245 kg of fat. How much fat is there in 12.8 kg of milk?
Solution:
In 1 kg of milk, fats is = 0.245 kg
Then in 12.8 kg of milk, fats will be
= 0.245 × 12.8 kg
= 3.1360 kg
= 3.136 kg

Question 9.
If ₹ 242.46 are to be distributed among 6 children equally, find the share of each.
Solution:
6 children gets = ₹ 242.46
One child will get = ₹ 242.46 ÷ 6 = ₹ 40.41

Question 10.
A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in one litre of petrol?
Solution:
In 2.4 litres of petrol, a vehicle covers a distance = 43.2 km
It will cover a distance in one Jtre of petrol = 43.2 ÷ 2.4 km

Question 11.
How many ice cream cones can be filled from 8.4 litres of ice cream if one cone can be filled with 35 millilitres of ice cream?
Solution:
In one cone, 35 millilitres of ice cream is filled
In 8.4 litres of ice cream will be filled
(8.4 l = 8.4 × 100 ml)

Question 12.
If the product of two decimal numbers is 38.745 and one of the numbers is 2.7, find the other.
Solution:
Product of two decimal numbers = 38.745
One number = 2.7
Second number = 38.745 ÷ 2.7

Question 13.
If $$\frac { 2 }{ 3 }$$ of a number is 10, then what is 1.75 times of that number?
Solution:
$$\frac { 2 }{ 3 }$$ of a number = 10
Number = $$\frac { 10\times 3 }{ 2 }$$ = 15
and 1.75 times of the number =15 × 1.75 = 26.25