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For those of you not in the know:
0.9999999… is equal to 1. exactly.
if that seems wrong, recall that 0.333333… is equal to exactly 1/3, meaning 0.33333..*3 = 3/3, and therefore 1
still don’t believe me? 0.3333… is also equal to 3/9. Funnily enough, putting any of these lads over 9 will make it repeat in decimal form. 2/9 is 0.22222…; 7/9 is 0.7777777… so 9/9 is equal to 0.999999… as well as 1.
if you think that’s stupid, then you’d be right. But it’s not math’s fault; it’s society’s. The only reason our fractions have repeating decimals the way they do is because we use Base-10; if we did Base-12 instead, for example, 1/3 would be equal to 0.40 instead.
numbers are fun
