0.999... = 1

True or False?

2 answers

true

illustration
1/3 = .3333....
2/3 = .6666.....
add them
3/3 = .99999......
1 = .99999....
true
x = 0.9999999...
10x = 9.9999999...
subtract to get
9x = 9
x = 1