Whole number worksheet -12-5-20 ( DISTRIBUTIVE LAW OF MULTIPLICATION OVER ADDITION AND SUBTRACTION )

Good morning boys,
Today we are going to continue with distributive law of multiplication over addition and subtraction.
Question 4. Find the product using suitable properties:
(a) 738 x 103
(b) 854 x 102
(c) 258 x 1008
(d) 1005 x 168
Answer:
(a) 738 x 103
= 738 x (100 + 3)
= 738 x 100 + 738 x 3
= 73800 + 2214
= 76014
Attempt Question Q4 b, c and d.
Question 5. A taxi-driver, filled his car petrol tank with 40 liters of petrol on Monday. The next day, he filled the tank with 50 liters of petrol. If the petrol costs ` 44 per liter, how much did he spend in all on petrol?
Answer:
Petrol filled on Monday = 40 liters
Petrol filled on next day = 50 liters
Total petrol filled = 90 liters
Now, Cost of 1 liter petrol = ` 44
Cost of 90 liters petrol = 44 x 90
= 44 x (100 – 10)
= 44 x 100 – 44 x 10
= 4400 – 440
= ` 3960
Therefore, he spent ` 3960 on petrol.
Question 6. A vendor supplies 32 liters of milk to a hotel in a morning and 68 liters of milk in the evening. If the milk costs ` 15 per liter, how much money is due to the vendor per day?
Answer:
Supply of milk in morning = 32 liters
Supply of milk in evening = 68 liters
Total supply = 32 + 68 = 100 liters
Now Cost of 1 liter milk = ` 15
Cost of 100 liters milk = 15 x 100 = ` 1500
Therefore, ` 1500 is due to the vendor per day.

Question 7. Match the following:
(i)425 x 136 = 425 x (6 + 30 + 100) (a) Commutativity under multiplication
(ii) 2 x 48 x 50 = 2 x 50 x 49 (b) Commutativity under addition
(iii) 80 + 2005 + 20 = 80 + 20 + 2005 (c) Distributivity multiplication under addition
Answer:
(i) 425 x 136 = 425 x (6 + 30 + 100) (c) Distributivity of multiplication over addition
(ii) 2 x 49 x 50 = 2 x 50 x 49 (a) Commutivity under multiplication
(iii) 80 + 2005 + 20 = 80 + 20 + 2005 (b) Commutivity under addition.

Redo Q5, Q6, Q7 in your copy.

PLEASE USE THE THIRD PERIOD OF MATH TO COVER UP ANY INCOMPLETE WORK OR VISIT BLOGS OF WHOLE NUMBERS.
ThankyouHave a nice day 







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