re: Let’s talk about .9 repeating

quote:

---

It doesn’t matter how many repeating 9’s you keep tacking on, there’s also always a zero at the end, because the number of potential digits is infinite, which means .99 repeating can never equal 1.

---

Do you know how stupid this sounds to people who understand math?

If each step takes you halfway to the wall, then with an infinite number of steps, your total distance traveled, x, is:

x = (1/2 + 1/4 + 1/8 + 1/16 + . . .)

And

2x = 1 + (1/2 + 1/4 + 1/8 + 1/16 + . . .)

Then

2x = 1 + (1/2 + 1/4 + 1/8 + 1/16. . .)
- x = - (1/2 + 1/4 + 1/8 + 1/16. . .)
___ _____________________________
x = 1