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Practice each question, then open the answer or worked solution.
Find the area of rectangle whose length is 5.7cm and breadth is 3 cm.
Solution:-
From the question, it is given that,
Length of the rectangle = 5.7 cm
Breadth of the rectangle = 3 cm
Then,
Area of the rectangle = length × Breadth
= 5.7 × 3
= 17.1 cm2
Find:
(i) 1.3 × 10
Solution:-
On multiplying a decimal by 10, the decimal point is shifted to the right by one place.
We have,
= 1.3 × 10 = 13
(ii) 36.8 × 10
Solution:-
On multiplying a decimal by 10, the decimal point is shifted to the right by one place.
We have,
= 36.8 × 10 = 368
(iii) 153.7 × 10
Solution:-
On multiplying a decimal by 10, the decimal point is shifted to the right by one place.
We have,
= 153.7 × 10 = 1537
(iv) 168.07 × 10
Solution:-
On multiplying a decimal by 10, the decimal point is shifted to the right by one place.
We have,
= 168.07 × 10 = 1680.7
(v) 31.1 × 100
Solution:-
On multiplying a decimal by 100, the decimal point is shifted to the right by two places.
We have,
= 31.1 × 100 = 3110
(vi) 156.1 × 100
Solution:-
On multiplying a decimal by 100, the decimal point is shifted to the right by two places.
We have,
= 156.1 × 100 = 15610
(vii) 3.62 × 100
Solution:-
On multiplying a decimal by 100, the decimal point is shifted to the right by two places.
We have,
= 3.62 × 100 = 362
(viii) 43.07 × 100
Solution:-
On multiplying a decimal by 100, the decimal point is shifted to the right by two places.
We have,
= 43.07 × 100 = 4307
(ix) 0.5 × 10
Solution:-
On multiplying a decimal by 10, the decimal point is shifted to the right by one place.
We have,
= 0.5 × 10 = 5
(x) 0.08 × 10
Solution:-
On multiplying a decimal by 10, the decimal point is shifted to the right by one place.
We have,
= 0.08 × 10 = 0.8
(xi) 0.9 × 100
Solution:-
On multiplying a decimal by 100, the decimal point is shifted to the right by two places.
We have,
= 0.9 × 100 = 90
(xii) 0.03 × 1000
Solution:-
On multiplying a decimal by 1000, the decimal point is shifted to the right by three places.
We have,
= 0.03 × 1000 = 30
A two-wheeler covers a distance of 55.3 km in one litre of petrol. How much distance will it cover in 10 litres of petrol?
Solution:-
From the question, it is given that,
Distance covered by two-wheeler in 1 litre of petrol = 55.3 km
Then,
Distance covered by two wheeler in 10L of petrol = (10 × 55.3)
= 553 km
∴ The two-wheeler covers a distance of 553 km in 10L of petrol.
Find:
(i) 2.5 × 0.3
Solution:-
We have,
= (25/10) × (3/10)
= (75/100)
On dividing a decimal by 100, the decimal point is shifted to the left by two places.
Then,
= 0.75
(ii) 0.1 × 51.7
Solution:-
We have,
= (1/10) × (517/10)
= (517/100)
On dividing a decimal by 100, the decimal point is shifted to the left by two places.
Then,
= 5.17
(iii) 0.2 × 316.8
Solution:-
We have,
= (2/10) × (3168/10)
= (6336/100)
On dividing a decimal by 100, the decimal point is shifted to the left by two places.
Then,
= 63.36
(iv) 1.3 × 3.1
Solution:-
We have,
= (13/10) × (31/10)
= (403/100)
On dividing a decimal by 100, the decimal point is shifted to the left by two places.
Then,
= 4.03
(v) 0.5 × 0.05
Solution:-
We have,
= (5/10) × (5/100)
= (25/1000)
On dividing a decimal by 1000, the decimal point is shifted to the left by three places.
Then,
= 0.025
(vi) 11.2 × 0.15
Solution:-
We have,
= (112/10) × (15/100)
= (1680/1000)
On dividing a decimal by 1000, the decimal point is shifted to the left by three places.
Then,
= 1.680
(vii) 1.07 × 0.02
Solution:-
We have,
= (107/100) × (2/100)
= (214/10000)
On dividing a decimal by 10000, the decimal point is shifted to the left by four places.
Then,
= 0.0214
(viii) 10.05 × 1.05
Solution:-
We have,
= (1005/100) × (105/100)
= (105525/10000)
On dividing a decimal by 10000, the decimal point is shifted to the left by four places.
Then,
= 10.5525
(ix) 101.01 × 0.01
Solution:-
We have,
= (10101/100) × (1/100)
= (10101/10000)
On dividing a decimal by 10000, the decimal point is shifted to the left by four places.
Then,
= 1.0101
(x) 100.01 × 1.1
Solution:-
We have,
= (10001/100) × (11/10)
= (110011/1000)
On dividing a decimal by 1000, the decimal point is shifted to the left by three places.
Then,
= 110.011