- #26

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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

- Thread starter donaldcat
- Start date

- #26

- 218

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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

Science Advisor

Homework Helper

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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.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.

- #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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