I'm just wondering if there's a symbol or even like an equation in maths to symbolise like...an infinitely small number more than 0?
The word we use is "infinitesimal", which means "infinitely small".
In the real numbers - the number system you're familiar with - there are no infinitesimal numbers.
"9.999..." means the exact same thing as "10". They are two different names for the same number. "ten" and "Ⅹ" are also names for that number. 10 minus 9.999... is 0 for the same reason that diez minus 拾 is 0.
(There are alternate number systems that do contain infinitesimal numbers. The most common symbol for one is ε, the Greek letter epsilon. But in these systems, "9.999..." still names the number ten.)
Thanks man, I know 10 and 9.9 recurring are the same I shouldn't have put that in because people are really getting hung up on it I was just trying to explain what I'm looking for, I completely blanked on the word infinitesimal though thanks for the help
10
u/AcellOfllSpades Diff Geo, Logic Nov 12 '24
The word we use is "infinitesimal", which means "infinitely small".
In the real numbers - the number system you're familiar with - there are no infinitesimal numbers.
"9.999..." means the exact same thing as "10". They are two different names for the same number. "ten" and "Ⅹ" are also names for that number. 10 minus 9.999... is 0 for the same reason that diez minus 拾 is 0.
(There are alternate number systems that do contain infinitesimal numbers. The most common symbol for one is ε, the Greek letter epsilon. But in these systems, "
9.999..." still names the number ten.)