#Recurring decimals

11 messages · Page 1 of 1 (latest)

pulsar grove
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Why is it 10 and not 100 ,what does it depend on ?

bright apex
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u could also use 100x

lament arch
# pulsar grove Why is it 10 and not 100 ,what does it depend on ?

It depends how many unique integers you have in the decimals, and when the recurring starts

Like say you had 8.888888
To get rid of the recurring, you only need
10x = 88.88888
So 9x = 80

However, say you had 4.565656
10x wont work here, it would only mess up the decimals (you can try it yourself to see)
So you get 100x = 456.565656
So 99x = 452

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It also depends when the recurring starts, so say you had
4.4676767
You need 1000x as 4467.676767, so you can isolate the recurring again
And also 10x, not x, as 10x = 44.676767, again isolating the recurring - if you used x, this would again mess up the decimels and not cancel out the recurring when you subtract them
Then you can get 990x as 4427, and then proceed as usual again

keen gust
heady laurel
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For every recurring decimal multiply by an extra 0

mental vale
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absolutely do not do this

oblique tinsel
keen gust
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What he just mentioned

oblique tinsel
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This