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Default More math than excel, but a fun problem

Here's the newest brain teaser:

I would like to be able to obtain round integers only from one number.

For instance, I want to be able to obtain the number
1,2,3,4,5,6,7,8,9,10 from the base number of 10.25 :)

Sound like fun?

My only attempt thus far as I start this challenge is this:

=ROUND(A1*(((9/10)/10)*A1),0)

.... where A1 = 10.25 This will work out to 9 like I am attempting to
do, but has issues in that if the number (10.25) increases beyond 10.27
it rounds itself to 10, and beyond 10.5 it rounds to 10.5. Its a
problem with the 9/10's in there.

Consider this a puzzle and not so much an excel formula, though
knowledge in both is required... Im back to it....

 
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