Decimal Expansion

  • Thread starter Swetasuria
  • Start date
  • #1
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Main Question or Discussion Point

I read here in Physics Forums that a number can have more than one decimal expansion.

Really? Can someone explain how?

Is it that any number can have more than one decimal expansion or only some numbers?
 
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Answers and Replies

  • #2
pwsnafu
Science Advisor
1,080
85
See the 0.9... article on Wikipedia or the FAQ on this forum.
 
  • #3
uart
Science Advisor
2,776
9
I read here in Physics Forums that a number can have more than one decimal expansion.

Really? Can someone explain how?

Is it that any number can have more than one decimal expansion or only some numbers?
Hi Swetasuria. You can take the "usual" decimal expansion of any terminating decimal and replace the last digit with one smaller, then add repeating 9's after that, and yes it's the same number. :smile:
 

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