#1
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Divide one big number by another big number (in head)
How would I try to divide 678242 by 98724622 in my head.
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#2
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Re: Divide one big number by another big number (in head)
I wouldn't even try getting the correct answer
I would round to workable numbers and get a close-ish estimate. 678,242 : 680,000 98,724,622 : 100,000,000 680,000 / 100,000,000 68 / 10,000 -> Bring 68 back 4 decimal places(4 zeros) = .0068 Which may or may not be close enough to the actual answer : 0.0068700389655581563026901232399755 |
#3
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Re: Divide one big number by another big number (in head)
I don't think it's impossible to do the long division in
your head. Barring that, think of the divisor as 0.98724622 x 10^(8). Note that 0.98724622 is close to 1. Dividing by 1-x is the same as multiplying by 1+x+x^2+... so it's approximately the same as multiplying by about 1.013 x 10^(-8). 0.013 x 678242 is about 8800, so adding 678242 gives an estimate for 1.013 x 678242 at about 687000. Then, 678242/98724622 is about 687000 x 10^(-8) or about 0.00687. |
#4
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Re: Divide one big number by another big number (in head)
godBoy wins. Do you see why?
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#5
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Re: Divide one big number by another big number (in head)
Just count the number of times 98724622 goes into 678242.
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