Suppose x is any even integer. Then x is a multiple of 2 (definition of even).
So x = 2m for some integer m.
Suppose y is any odd integer. That means that when y is divided by two, it leaves a remainder of 1 (that is the definition of an odd number).
So y = 2n + 1 for some integer n
So the sum of an even and odd number = x + y
= 2m + 2n+1 = 2(m+n) + 1
Now, m and n are integers so m+n is an integer. So the sum is one more than some multiple of two ie it leaves a remainder of one when divided by two. So it is odd.
in other words if you add two evens you get an even because it would be for example in the 2's multiplication table but an odd lets say 3 isn't in the multiplication table of 2 so it wouldn't match any even numbers.
Two odd numbers always sum to an even number. Always. Two even numbers always sum to an even number, and an odd number and an even number always sum to an odd number.
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.
No. No matter what you use, the sum of an odd number and an even number will always be odd.
No, because two odd numbers always add together to be an even number, and a even plus an odd number is an odd number, example: 3+1+11=An even number? 3+1=4 4+11=15 Is 15 even? No. 3+1+11= An odd number (15)
Two odd numbers always sum to an even number. Always. Two even numbers always sum to an even number, and an odd number and an even number always sum to an odd number.
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.
When you add an odd number to an odd number, you get an even number. When you add an odd number to that even number, the sum is always odd. Don't believe it? Try a few examples yourself.
No. No matter what you use, the sum of an odd number and an even number will always be odd.
Always an even number. Think of an odd number as an even number plus a half. Add them up and the two halves make an even.
Always. even + even = even odd + odd = even even + odd = odd odd + even = odd To summarise, if you add like numbers you get even, otherwise you get odd.
When you add them, you always get an even number; when you multiply them, the result is always odd.
Multiply two odd numbers Add an even and an odd Subtract an odd and an even
One always gets an even number.
because it can, if you add odd numbers the always don't have to be an odd number