Is 0.999... really equal to 1? Examining the proof.

  • Context: High School 
  • Thread starter Thread starter Astro021
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Discussion Overview

The discussion revolves around the mathematical question of whether the repeating decimal 0.999... is equal to 1. It touches on proofs, definitions, and existing discussions on the topic.

Discussion Character

  • Debate/contested

Main Points Raised

  • Some participants express a desire to see a proof regarding the equality or inequality of 0.999... and 1.
  • One participant notes that 0.999... can be defined as an infinite geometric series, which sums to 1.
  • Another participant mentions that there are numerous existing proofs available online that assert 0.999... equals 1.
  • There is a suggestion that the topic has been extensively covered in previous threads, indicating a reluctance to revisit the discussion.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the equality of 0.999... and 1, and multiple competing views remain regarding the proofs and definitions involved.

Contextual Notes

Some limitations include the reliance on definitions of infinite series and the existence of various proofs that may not be universally accepted.

Astro021
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I want to see a proof why 0.999999... Is not equal 1 or why is it
 
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Astro021 said:
I want to see a proof why 0.999999... Is not equal 1 or why is it

There must be dozens of threads on here covering this.

The short answer is that ##0.999 \dots## is defined as an infinite geometric series, whose sum equals ##1##.
 
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Likes   Reactions: davyzhu
The internet is full of proofs that it is 1.

A couple of older threads here:
1, 2, 3, 4, ...

No need to repeat this again. I closed the thread.
 

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