Exercise 3.3
1. Divide:
(i) 142.45 by 10
(ii) 54.25 by 10
(iii) 3.45 by 10
(iv) 0.57 by 10
(v) 0.0043 by 10
(vi) 0.004 by 10
Solution:
(i) Given 142.45 by 10
Now shifting decimal point by one place to the we can get tge result
142.4/10 = 14.245
(ii) Given 54.25 by 10
Now shifting the decimal point by one place to the left we can get the result 54.25/10 = 5.425
(iii) Given 3.45 by 10
Now shifting the decimal point by one place to the left we can get the result 3.45/10 = 0.345
(iv) Given 0.57 by 10
Now shifting the decimal point by one place to the left we can get the result
0.57/10 = 0.057
(v) Given 0.004 by 10
Now shifting the decimal point by one place to the left we can get the result
0.004/10 =0.0004
2. Divide:
(i) 459.5 by 100
(ii) 74.3 by 100
(iii) 5.8 by 100
(iv) 0.7 by 100
(v) 0.48 by 100
(vi) 0.03 by 100
Solution:
(i) 459.5 by 100
Shifting the decimal point by two places to the left
459.5/100
= 4.595
(ii) 74.3 by 100
Shifting the decimal point by two places to the left
74.3/100
= 0.743
(iii) 5.8 by 100
Shifting the decimal point by two places to the left
5.8/100
= 0.058
(iv) 0.7 by 100
Shifting the decimal point by two places to the left
0.7/100
= 0.007
(v) 0.48 by 100
Shifting the decimal point by two places to the left
0.48/100
= 0.0048
(vi) 0.03 by 100
Shifting the decimal point by two places to the left
0.03/100
= 0.0003
3. Divide:
(i) 235.41 by 1000
(ii) 29.5 by 1000
(iii) 3.8 by 1000
(iv) 0.7 by
Solution:
(i) Given 235.41 by 1000
Now shifting the decimal point by three place to the left we can get the result
235.41/1000
(ii) Given 29.5 by 1000
Now shifting the decimal point by there places to the left we can get the result
29.5/1000 = 0.0295
(iii) Given 0.7
Now shifting the decimal point by three place to the left we can get the result
3.8/1000 = 0.0038
(iv) Given 0.7 by 1000
Now the decimal point by three places to the left we can get the result
0.7/1000 = 0.0007
4. Divide:
(i) 0.45 by 9
(ii) 217.44 by 18
(iii) 319.2 by 2.28
(iv) 40.32 by 9.6
(v) 0.765 by 0.9
(vi) 0.768 by 1.6
Solution:
(i) 0.45 by 9
= 0.45/9
= 0.05
(ii) 217.44 by 18
= 217.44/18
= 12.08
(iii) 319.2 by 2.28
(iv) 40.32 by 9.6
(v) 0.765 by 0.9
(vi) 0.768 by 1.6
5. Divide:
(i) 16.64 by 20
(ii) 0.192 by 12
(iii) 163.44 by 24
(iv) 403.2 by 96
(v) 16.344 by 12
(vi) 31.92 by 228
Solution:
(i) 16.64 by 20
= 0.832
(ii) 0.192 by 12
= 0.192/12
= 0.016
(iii) 163.44 by 24
= 163.44/24
= 6.81
(iv) 403.2 by 96
= 403.2/96
= 4.2
(v) 16.344 by 12
= 16.344/12
= 1.362
(vi) 31.92 by 228
= 31.92/228
= 0.14
6. Divide:
(i) 15.68 by 20
(ii) 164.6 by 200
(iii) 403.80 by 30
Solution:
(ii) 164.6 by 200
(iii) 403.80 by 30
7. (i) 76 by 0.019
(ii) 88 by 0.08
(iii) 148 by 0.074
(iv) 7 by 0.014
(v) 403.80 by 30
Solution:
(i) 76 by 0.019
(ii) 88 by 0.08
(iii) 148 by 0.074
(iv) 7 by 0.014
(v) 403.80 by 30
8. Divide:
(i) 20 by 50
(ii) 8 by 100
(iii) 72 by 576
(iv) 144 by 15
Solution:
(i) 20 by 50
(ii) 8 by 100
(iii) 72 by 576
(iv) 144 by 15
9. A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it travel in 1 litre of petrol?
Solution:
Distance covered in 2.4 litres of petrol = 43.2 km
Distance covered in 1 litre of petrol = 43.2/2.4
= 18km
The distance travelled in 1 litre of petrol is 18 km
10. The total weight of some bags of wheat is 1743 kg. If each bag weights 49.8 kg, how many bags are there?
Solution:
Total weight of bags of wheat = 1743 kg
Each bag weight = 49.8 kg
No of bags = 1743/49.8
Therefore the total numbers of bags are 35
11. Shikha cuts 50 m of cloth into pieces of 1.25 m each. How many pieces does she get?
Solution:
Total cloth = 50m
No. of pieces of each = 1.25m
12. Each side of a rectangular polygon is 2.5 cm in length. The perimeter of the polygon is 12.5 cm. How many sides does the polygon have?
Solution:
Length of each side of rectangular polygon = 5.2 cm
Perimeter of polygon = 12.5 cm
No of sides polygon has = 12.5 cm
No of sides polygon have = 12.5/2.5
Therefore the sides if the polygon is 5
13. The product of two decimals is 42.987. If one of them is 12.46, find the other.
Solution:
We have,
The products of the given decimals = 42.987
One decimal = 12.46
14. The weight of 34 bags of sugar is 3483.3 kg. If all bags weigh equally, find the weight of each bag.
Solution:
Total weight of sugar = 3483.3kg
No of bags = 34
Weight of each bag = 3483.3/34
= 102.45 kg
Therefore weight of each bag is 102.45 kg
15. How many buckets of equal capacity can be filled from 586.5 litres of water, if each bucket has capacity of 8.5 litres?
Solution:
Each buckets has capacity = 8.5 liters
Total capacity of water = 586.5 liters