Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2025-05-26 21:15:15

FelixNavarro
Novice
Registered: 2025-05-22
Posts: 1

Why 0.999... Equals 1: A Simple Explanation That Makes It Click

I used to find it strange that 0.999... equals 1, until I looked at it from a different angle. If you set x = 0.999..., then 10x = 9.999... — subtracting the two gives 9x = 9, so x = 1. It’s all about how infinite decimals behave in real numbers. This helped me appreciate how math handles limits and infinite processes. Has anyone here found a different explanation that really helped the concept click?

Offline

#2 2025-05-26 21:26:49

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 50,690

Re: Why 0.999... Equals 1: A Simple Explanation That Makes It Click

Hi,

See the link:

Recurring 9.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

Board footer

Powered by FluxBB