Do you believe that 0.999... is actually equal to 1. That confuses a lot of people. They would say 0.9 is smaller than 1, so I don't care what is after it. But this is actually wrong, I will tell you why today.
Prove 1:
The least effective one
1/9 = 0.111...
2/9 = 0.222...
3/9 = 0.333...
4/9 = 0.444...
5/9 = 0.555...
6/9 = 0.666...
7/9 = 0.777...
8/9 = 0.888...
9/9 = 0.999...
Prove 2:
Effective
1x9÷9 = 1 = 1 ÷ 9 x 9 = 0.111... x 9 = 0.999...
Prove 3:
Very Affective
0.999... = 0.333... x 3 = 1/3 x 3 = 3/3 = 1
Prove 4:
Super Affective
if 0.999... = x
10x = 0.999... x 10
10x = 9.999...
10x-x = 9.999... - 0.999...
9x = 9
x = 1 = 0.999...
Prove 1:
The least effective one
1/9 = 0.111...
2/9 = 0.222...
3/9 = 0.333...
4/9 = 0.444...
5/9 = 0.555...
6/9 = 0.666...
7/9 = 0.777...
8/9 = 0.888...
9/9 = 0.999...
Prove 2:
Effective
1x9÷9 = 1 = 1 ÷ 9 x 9 = 0.111... x 9 = 0.999...
Prove 3:
Very Affective
0.999... = 0.333... x 3 = 1/3 x 3 = 3/3 = 1
Prove 4:
Super Affective
if 0.999... = x
10x = 0.999... x 10
10x = 9.999...
10x-x = 9.999... - 0.999...
9x = 9
x = 1 = 0.999...