Is 0.9999... Equal to 1? Debunking the Myth and Understanding the Concept

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Discussion Overview

The discussion revolves around the mathematical concept of whether 0.9999... is equal to 1. Participants explore the implications of this equality, questioning the nature of mathematical absolutes and the understanding of decimal representations.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant expresses shock at the idea that 0.9999... could equal 1, suggesting it challenges the belief in the absoluteness of mathematics.
  • Another participant asserts that 0.9999... is indeed equal to 1, referencing a proof learned in university but not recalling the details.
  • A different participant questions the understanding of what 0.9999... means, implying that without this understanding, one cannot claim it is an error to say 0.9999... equals 1.
  • One participant suggests that the discussion has been extensively covered before, indicating a sense of fatigue regarding the topic.
  • There is a query about the equality of 1.00 and 1, which raises further questions about the nature of numerical representation.

Areas of Agreement / Disagreement

Participants do not reach a consensus; there are competing views on the equality of 0.9999... and 1, with some asserting it is true and others expressing skepticism or confusion.

Contextual Notes

Some participants express uncertainty about the definitions and implications of the notation 0.9999..., which may affect their understanding of the equality in question.

Raza
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At first, when I saw this, I was deeply shocked and lost the believe that math is absolute. Like the thinking that if Math can prove it, it must exist and if it can't, it doesn't exist.

So is 0.99999...=1 illogical?

also, is it fair to say that 1.00=1?

Sorry if this question is already posted or it's in the wrong forum.
 
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0.99999(9) is 1
It's right and logical. Unfortunately, I don't remember the prove now, it was on the first grade in University.
 
This has been slogged out many times: there's no need for another discussion thread.
 
The real question, Raza, is do you know what 0.9999... means? If not, you certainly can't say that 0.9999...= 1 is an error! If you believe you do, what do you think 0.9999... means? The fact that you ask if 1.00= 1 makes me wonder.
 

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