My math teacher showed me 0.999...=1. I was surprised & confused. Reddit r/theydidthemath

We will discuss the classic math question if 0.999...=1 i.e. 0.9(repeating) is equal to 1 or not. We will use "an algebraic trick" to explain why 0.999...=1.
We first let x=0.999.. then multiply both sides by 10 so we get 10x=9.999...
Next, we will do 10x-x, which is 9.999...-0.999... and get 9x=9.
After dividing both sides by 9, we see that x=1.
But we set x=0.999... to begin with. So we can conclude that 0.999...=1.
Note that we can do the same trick to convert

0.999... as an infinite geometric series: 👉    • I had a grown adult scream at me beca...  

This is from Reddit r/theydidthemath.
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