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Find the product using suitable properties.
(a) 738 × 103 (b) 854 × 102
(c) 258 × 1008 (d) 1005 × 168
a) 738 x 103
738 x (100 +3)
(738x100) + (738 x3). ( distributive property)
73800 + 2214
76014
Find the sum by suitable rearrangement:
(a) 837 + 208 + 363 (b) 1962 + 453 + 1538 + 647
a) (837+208)+363
1045+363 = 1408
b) (1962+453) + (1538+647)
2415 + 2185 = 4600
Find the product by suitable rearrangement:
(a) 2 × 1768 × 50 (b) 4 × 166 × 25
(c) 8 × 291 × 125 (d) 625 × 279 × 16
(e) 285 × 5 × 60 (f) 125 × 40 × 8 × 25
(a) 2 × 1768 × 50 = 2 × 50 × 1768
= 100 × 1768 = 1,76,800
(b) 4 × 166 × 25 = 4 × 25 × 166
= 100 × 166 = 16,600
(c) 8 × 291 × 125 = 8 × 125 × 291
= 1000 × 291 = 2,91,000
(d) 625 × 279 × 16 = 625 × 16 × 279
= 10000 × 279 = 27,90,000
(e) 285 × 5 × 60 = 285 × 300 = 85,500
(f) 125 × 40 × 8 × 25 = 125 × 8 × 40 × 25
= 1000 × 1000 = 10,00,000
Find the value of the following:
(a) 297 × 17 + 297 × 3 (b) 54279 × 92 + 8 × 54279
(c) 81265 × 169 − 81265 × 69 (d) 3845 × 5 × 782 + 769 × 25 × 218
(a) 297 × 17 + 297 × 3 = 297 × (17 + 3)
= 297 × 20 = 5940
(b) 54279 × 92 + 8 × 54279 = 54279 × 92 + 54279 × 8
= 54279 × (92 + 8)
= 54279 × 100 = 54,27,900
(c) 81,265 × 169 − 81,265 × 69 = 81,265 × (169 − 69)
= 81265 × 100 = 81,26,500
(d) 3845 × 5 × 782 + 769 × 25 × 218
= 3845 × 5 × 782 + 769 × 5 × 5 × 218
= 3845 × 5 × 782 + 3845 × 5 × 218
= 3845 × 5 × (782 + 218)
= 19,225 × 1000 = 1,92,25,000
A taxi driver filled his car petrol tank with 40 litres of petrol on Monday. The next day, he filled the tank with 50 litres of petrol. If the petrol costs Rs 44 per litre, how much did he spend in all on petrol?
Petrol filled in a car on 1st day = 40 L
Petrol filled in a car on 2nd day = 50 L
Total petrol filled in a car = (40+50)L = 90L
Cost of 1 L petrol = 44 rs.
Cost of 90 L petrol = 90 x 44 = Rs. 3960
Therefore, he spend Rs. 3960 in all on petrol
A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre, how much money is due to the vendor per day?
Quantity of milk supplied in the morning = 32 l
Quantity of milk supplied in the evening = 68 l
Total of milk per litre = (32 + 68) l
Cost of milk per litre = Rs 15
Total cost per day = 15 × (32 + 68)
= 15 × 100 = Rs 1500
Match the following:
(i) 425 × 136 = 425 × (6 + 30 + 100)
(a) Commutativity under multiplication
(ii) 2 × 49 × 50 = 2 × 50 × 49
(b) Commutativity under addition
(iii) 80 + 2005 + 20 = 80 + 20 + 2005
(c) Distributivity of multiplication over addition
(i) 425 × 136 = 425 × (6 + 30 + 100) [Distributivity of multiplication over addition]
Hence, (c)
(ii) 2 × 49 × 50 = 2 × 50 × 49 [Commutativity under multiplication]
Hence, (a)
(iii) 80 + 2005 + 20 = 80 + 20 + 2005 [Commutativity under addition]
Hence, (b)
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