Department of Energy Argonne National Laboratory Office of Science NEWTON's Homepage NEWTON's Homepage
NEWTON, Ask A Scientist!
NEWTON Home Page NEWTON Teachers Visit Our Archives Ask A Question How To Ask A Question Question of the Week Our Expert Scientists Volunteer at NEWTON! Frequently Asked Questions Referencing NEWTON About NEWTON About Ask A Scientist Education At Argonne Zero and Even Numbers
Name: Melanie C.
Status: student	
Age:  N/A
Location: N/A
Country: N/A
Date: 8/3/2004


Question:
Is there any other reason for single-digit placeholder zero to be considered an even number other than its placement on a number line?



Replies:
Zero is neither 'even' nor 'odd' because the symmetries of 'even' x 'even' = 'even';
'even' x 'odd' = 'even' ; and 'odd' x 'odd' = 'odd'. Substituting zero into these placeholders gives the result that zero is both even and odd which is "reductio ad absurdum" and hence undefined.

Vince Calder


Melanie C.,

The definition of "even number" tells us that zero is an even number. Any integer multiple of an integer is an even number. Zero equals two times zero.

Dr. Ken Mellendorf
Physics Instructor
Illinois Central College



Click here to return to the Mathematics Archives

NEWTON is an electronic community for Science, Math, and Computer Science K-12 Educators, sponsored and operated by Argonne National Laboratory's Educational Programs, Andrew Skipor, Ph.D., Head of Educational Programs.

For assistance with NEWTON contact a System Operator (help@newton.dep.anl.gov), or at Argonne's Educational Programs

NEWTON AND ASK A SCIENTIST
Educational Programs
Building 360
9700 S. Cass Ave.
Argonne, Illinois
60439-4845, USA
Update: June 2012
Weclome To Newton

Argonne National Laboratory