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Why is the sum always odd when you add an even and an odd number?
Wiki User
∙ 14y ago
An even integer is a multiple of 2 so that if x is the even integer then there is some other integer a such that x = 2a.
An odd integer is one which, when you divide it by 2, leaves a remainder of 1. That is, if y is the odd integer, then y = 2b + 1 for some other integer b.
Now, the sum of the even and odd integer is x + y = 2a + 2b + 1
= 2(a+b) + 1
By the closure of integers under addition, a and b are integers implies that a+b is an integer.
So 2(a+b) is even and so the sum is odd.
Wiki User
∙ 14y ago
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What happens when you add an odd number and an odd number?
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.
Why is the sum of an odd or even number odd or even?
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.
Why is the sum of an odd and even number 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.
Can you add an even and an odd number where the sum of the numbers will be even?
No. No matter what you use, the sum of an odd number and an even number will always be odd.
Can 3 odd numbers ever add up to an even number?
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)
What happens when you add an odd number and an odd number?
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.
Why is the sum of an odd or even number odd or even?
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.
Why is the sum of an odd and even number 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.
Why is the sum os an even and odd number a 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.
How can the sum of 3 odd numbers 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.
Can you add an even and an odd number where the sum of the numbers will be even?
No. No matter what you use, the sum of an odd number and an even number will always be odd.
When you add two odd number together is your answer an even or an odd number?
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.
What happens when you add two even numbers Will you get an even number?
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.
What is true about two odd numbers?
When you add them, you always get an even number; when you multiply them, the result is always odd.
What combination of numbers always results in an odd number?
Multiply two odd numbers Add an even and an odd Subtract an odd and an even
What to you get when you add two odd number?
One always gets an even number.
Why do two odd numbers become an even number after addition?
because it can, if you add odd numbers the always don't have to be an odd number
