.49999…., that is, .49 with 9 repeating forever, is exactly the same as 5. Infinity is weird.
.49999… rounds down.
5 rounds up.
We literally split five in half for this.
Granted, in practice, .49999…. is rare, while 5 is common. But it was as good of a reason as any for something that is completely arbitrary but had to be agreed upon in order for the community of mathematicians to work together.
.49999…., that is, .49 with 9 repeating forever, is exactly the same as 5. Infinity is weird.
.49999… rounds down.
5 rounds up.
We literally split five in half for this.
Granted, in practice, .49999…. is rare, while 5 is common. But it was as good of a reason as any for something that is completely arbitrary but had to be agreed upon in order for the community of mathematicians to work together.
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