Question

How to prove 0.999999....=1 ?

Answer 1

put
\[x=.9999...\]multiply by 10
\[10x=9.9999...\]
\[10x-x=9\]
subract \(x\) from both sides
\[9x=9\]
divide both sides by 9\[x=1\]

Answer 2

Wow, thank you~

Answer 3

You can use the same method to re-write repeating decimals as fractions.

Answer 4

do you know 7x-1<20