AoPSWiki
Looking for a challenging algebra text? Preparing for MATHCOUNTS or the AMC exams?
Check out Art of Problem Solving's Introduction to Algebra by Richard Rusczyk.

Fractional part

From AoPSWiki

Revision as of 16:49, 29 June 2006 by JBL (Talk | contribs)
(diff) ← Older revision | Current revision (diff) | Newer revision → (diff)

The fractional part of a real number x, usually denoted \{x\}, is equvalent to removing the integer part of x. Thus \{x\} = x - [x], where [x] denotes the floor function. For positive numbers, this is equivalent to taking "everything after the decimal point," but this is not true in general for negative numbers. For example,

\{3.14\} = 0.14

\{5\} = 0

\{-3.2\} = 0.8

The fractional part function has the real numbers as its domain and the interval [0, 1) as its range.


See Also

Add a glimpse of the Art of Problem Solving Forum to your own site!
Click here for details!
© Copyright 2008 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us