I am going to prove to you, using standard algebra, that
0,99999999999….. equals 1.
Now I know that if you have even a basic understanding of maths you say: ‘I know for sure that’s not true’, but I will show you otherwise.
So here is the breakdown:
- let’s start by substituting 0,99999999999….. with the letter a, so
a = 0,99999999999…..
That is easy huh?
2. now say 10 times a would mean
10a = 9,99999999999…..
that is still right, right? I don’t believe that there is any need for discussion here.
3. if we substract a from that, of course you have to do that on both sides of the equal sign, we get:
10a – a = 9,99999999999….. – a
still a correct formula.
4. 10a – a is of course 9a, so:
9a = 9,99999999999….. – a
5. but since a = 0,99999999999 the right side of the formula could be written as 9
9a = 9
6. and that means that a must be 1
a = 1
7. combining step 1 and step 6 I have proven to you that
0,9999999999….. = 1