Simple maths but i don't understand why (about recurring decimals or repeating)

  • Thread starter donaldcat
  • Start date
  • #26
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yeah...basically 0.9999... is the notation of a number that is as close to 1 that it pretty much acts like it is how I see it. 0.999... is equal to 1 for any operation I've tried.

For example
0.333...+0.666...=0.999...
1/3+2/3=3/3=1

if a=b then 3a=3b and that makes 3(0.333...)=3(1/3) which results in 0.999...=1
 
  • #27
matt grime
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Robokapp said:
yeah...basically 0.9999... is the notation of a number that is as close to 1 that it pretty much acts like it is how I see it. 0.999... is equal to 1 for any operation I've tried.
No, no, no. There is no room for being inexact in this subject lest is encourages the cranks, not least because it appears as if you expect there to be an occasion when they are different representations of real numbers in base 10. It is 1. It is not so close we can't tell them apart. It just is 1 from the definitions.
 
  • #28
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Ah. I see it now. That'd explain why they behave identically in operations. Thank you Matt.
 

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