-2 points
Only if you’re rounding. 99.9 is still 1/10 of a digit separated from 100, but it’s not equal to 100 for good reason.
7 points
-2 points
It only signifies that the post-decimal nines are repeating infinitely. It still doesn’t make 99.99999…=100 unless you intentionally round the value for some nondescript reason, and even then, rounding off isn’t changing the value, only the perceived value for mathematical simplicity, not objective accuracy.
3 points
*
“.9…” is repeating, but rational. So it’s actually “1” . Let’s do the math.
.9… / 3 = .3…
.3… = 1/3
1/3 x 3 = 3/3
.9… = 3/3
3/3 = 1
.9… = 1
Still not convinced? We’ll use algebra instead of fractions.
0.9… = x
10x = 9.9…
10x - 0.9… = 9
9x = 9
x = 1
