What is the mistake in balancing the equation

izolovanuyj5

izolovanuyj5

Answered question

2022-03-16

What is the mistake in balancing the equation in a demonstration that 0.999=1?

Answer & Explanation

alifutlessect692

alifutlessect692

Beginner2022-03-17Added 9 answers

Step 1
There is no mistake in these proofs. Both of them are completely valid and proof that 1=0.9999. This statement is, indeed, true. This can be sometimes confusing to people and it's completely normal that it feels weird at first.
If you think about it in the following way, it might make sense: What would 10.9999 be? The difference between these two numbers is smaller then any rational number. The only number that is smaller than any other is 0. Thus: 10.9999=0, which implies 1=0.9999.

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