Is Zero Odd or Even?
Date: 06/17/98 at 22:21:48 From: wendy Subject: Zero Is zero odd or even? My 4th grade students are not satisfied with any explanation I can offer. Zero after any other number is even because it can be divided by 2. It holds an even place in the number line. Is it just special the way that 1 is neither prime nor composite?
Date: 06/19/98 at 14:43:11 From: Doctor Mateo Subject: Re: Zero Hello Wendy, You are right. Zero is an even number. An even number is a number that is exactly divisible by 2. That means that when you divide by two the remainder is zero. You may want to review the multiplication facts for 2: 2 x 0 = 2 x 1 = 2 x 2 = 2 x 3 = and so on. After writing these number facts out or reviewing them with the class you can ask them about patterns and eventually tell them that this is how they can create a list of even numbers. Then have them divide several numbers by 2 (including 0) and let them see a second way to conclude that a number is even (the remainder of the evens is 0 and the remainder of the odds is 1). Later when the number system is expanded to include the set of integers, they will be able to carry the concept over without much difficulty. For more on integers, see the Dr. Math FAQ: "Integers are the whole numbers, negative whole numbers, and zero... The terms even and odd only apply to integers; 2.5 is neither even nor odd. Zero, on the other hand, is even since it is 2 times some integer: it's 2 times 0." http://mathforum.org/dr.math/faq/faq.integers.html Hope this helps. -Doctors Mateo and Sarah, The Math Forum http://mathforum.org/dr.math/
Search the Dr. Math Library:
Ask Dr. MathTM
© 1994-2013 The Math Forum