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Divide:
(i) 142.45 by 10
(ii) 54.25 by 10
(iii) 3.45 by 10
(iv) 0.57 by 10
(v) 0.043 by 10
(vi) 0.004 by 10
Shifting the decimal point by one place to the left
142.45/10
= 14.245
54.25/10
= 5.425
3.45/10
0.345
0.57/10
= 0.057
0.043/10
= 0.0043
0.004/10
= 0.0004
(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
Shifting the decimal point by two places to the left
459.5/100
= 4.595
74.3/100
= 0.743
5.8/100
= 0.058
0.7/100
= 0.007
0.48/100
= 0.0048
0.03/100
= 0.0003
(i) 235.41 by 1000
(ii) 29.5 by 1000
(iii) 3.8 by 1000
(iv) 0.7 by 1000
Shifting the decimal point by three places to the left
235.41/1000
= 0.23541
29.51/000
= 0.0295
3.8/1000
= 0.0038
0.7/1000
(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
= 0.45/9
= 0.05
= 217.44/18
= 12.08
= 319.2/2.28
= 40.32/9.6
= 403.2/96
= 4.2
= 403.2/96 = 4.2
= 0.765/0.9
= 7.65/9
= 0.85
= 7.65/0.9 = 0.85
= 0.768/1.6
= 7.68/16
= 0.48
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
(i) 16.64 by 20
= 16.64/20
= 1.664/2
= 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
(v) 16.344 by 12
= 16.344/12
= 1.362
(vi) 31.92 by 228
= 31.92/228
= 0.14
(i) 15.68 by 20 (ii) 164.6 by 200 (iii) 403.80 by 30
(i) 15.68 by 20
=15.68/20
=1.568/2
= 0.784
(ii) 164.6 by 200
(i) 76 by 0.019
(ii) 88 by 0.08
(iii) 148 by 0.074
(iv) 7 by 0.014
(iii) 403.80 by 30
= 76/0.019
= 76000/19
= 4000
= 88/0.08
= 8800/8
=1100
= 148/0.074
= 148000/74
= 2000
= 70.014
= 7000/14
= 0.823
= 403.80/30
(i) 20 by 50
(ii) 8 by 100
(iii) 72 by 576
(iv) 144 by 15
(i) 20 by 50 = 20/50 = 0.4 (ii) 8 by 100 = 8/100 By shifting the decimal point to the left = 8/100 = 0.08 (iii) 72 by 576 = 72/576 = 0.125
(iv)144 by 15 = 144/15
= 9.6
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?
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
The total weight of some bags of wheat is 1743 kg. If each bag weights 49.8 kg, how many bags are there?
Total weight of bags of wheat = 1743 kg
Each bag weight = 49.8 kg
No of bags = 1743/49.8
= 35
Therefore the total numbers of bags are 35
Shikha cuts 50 m of cloth into pieces of 1.25 m each. How many pieces does she get?
Total length of cloth = 50 m
Length of each piece of cloth = 1.25 m
Number of pieces = 50/1.25
= 5000/125
= 40 pieces
Therefore Shikha got 40 pieces
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?
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
= 5
Therefore the sides of the polygon is 5
The product of two decimals is 42.987. If one of them is 12.46, find the other.
We have,
The product of the given decimals = 42.987
one decimal = 12.46
The other decimal = 42.987/12.46
= 3.45
The number is 3.45
The weight of 34 bags of sugar is 3483.3 kg. If all bags weigh equally, find the weight of each bag.
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
How many buckets of equal capacity can be filled from 586.5 litres of water, if each bucket has capacity of 8.5 litres?
Capacity of each bucket = 805 litres
Total water available = 586.5 litres
Number of buckets = 805/586.5
= 69
Total number of buckets is 69
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Chapter 3: Decimals Exercise – 3.2 Question:...
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