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Question

Find the product using suitable properties:


258×1008


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Solution

258×1008

1008 can be split as (1000 + 8) as calculations with 1000 (or any power of 10) makes it easier and faster.

=258×(1000+8)

Now we can use the distributive property,

a×(b+c) = (a×b) + (a×c)

and we can take 258 common
= (258×1000)+(258×8)

=258000+2064

= 260064


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