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Properties of Whole Numbers - Distributivity Property of Whole Numbers

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Distributivity of multiplication over addition:

With distributivity property, 6 × (5 + 3) can be written as (6 × 5) + (6 × 3)

Here, 6 × (5 + 3) = 6 × 8 = 48
Also, (6 × 5) + (6 × 3) = 30 + 18 = 48.

Multiplication is distributive over addition for whole numbers.

1) 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?

Solution:

Quantity of petrol filled on Monday = 40 l

Quantity of petrol filled on Tuesday = 50 l

Total quantity filled = (40 + 50)l

Cost of petrol (per l) = Rs 44

Total money spent = 44 × (40 + 50)

= 44 × 90 = Rs. 3960

2) 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?

Solution:

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.

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