Question

Find the product using distributive property of multiplication over addition 311*1002

Answer 1

Answer:

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Step-by-step explanation:

311 * (1000 + 2)

(311 * 1000) + (311 * 2)

311000 + 622

311622 = answer

Answer 2

Answer:

The answer is -

3,11,622

Step-by-step explanation:

To find the product using distributive property of multiplication over addition

311 X 1002

As it is distributive property of multiplication over addition

So,

311 = 300 + 11

And

1002 = 1000 + 2

So Substitute the values

= 311 X 1002

= (300 + 11)(1000 + 2)

Follow the distributive property of multiplication i.e. by multiplying a number with the other two numbers which are in bracket

That is,

= (300 + 11)(1000 + 2)

= 300(1000 + 2) + 11(1000 + 2)

CONTINUE

= 300 X 1000 + 300 X 2 + 11 X 1000 + 11 X 2

= 300000 + 600 + 11000 + 22

= 300600 + 11022

= 3,11,622

VERIFICATION

You can verify the answer without using any property

That is,

= 311 X 1002

= 3,11,622

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