The Math Forum

Ask Dr. Math - Questions and Answers from our Archives
Associated Topics || Dr. Math Home || Search Dr. Math

Even + Even = Even

Date: 11/06/2001 at 15:33:39
From: Courtney
Subject: Even + even = even

Do you know how to prove that an even number + an even number = 
an even number?

Date: 11/06/2001 at 15:36:54
From: Doctor Paul
Subject: Re: Even + even = even

An even number is a multiple of two. Show that the sum of two 
multiples of two is again a multiple of two:

   if x and y are even numbers, then

   x = 2*p and y = 2*q for some integers p and q.

   Then x + y = 2p + 2q = 2(p+q)

2*(p+q) is a multiple of two as well, so x+y is even.

- Doctor Paul, The Math Forum   
Associated Topics:
High School Number Theory

Search the Dr. Math Library:

Find items containing (put spaces between keywords):
Click only once for faster results:

[ Choose "whole words" when searching for a word like age.]

all keywords, in any order at least one, that exact phrase
parts of words whole words

Submit your own question to Dr. Math

[Privacy Policy] [Terms of Use]

Math Forum Home || Math Library || Quick Reference || Math Forum Search

Ask Dr. MathTM
© 1994- The Math Forum at NCTM. All rights reserved.