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Think about it. Assume that 1 is the odd number you are adding to an even number. Adding it will take you to the next number - which must be an odd number. If you add it to that number, it will take you to the next number, which now is an even number.

If you use a number larger than 1 the principal is still the same.

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Q: Why is the sum of an odd and even number always odd?
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Related questions

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.


Is the sum of an odd number and an even number always even?

No. Sum of odd + odd = even Sum of odd + even = odd Sum of even + even = even


Is the sum of two odd numbers is always odd?

The sum of two odd numbers is always even.


Why is the sum of three odd numbers always odd?

Because the sum of two odd numbers is always even and the sum of that even number plus another odd number is always odd.


What is the sum of a odd number and a even number?

The sum of an odd number and an even number is an odd number.


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 the sum of 1 odd number and 1 even number be even?

No. The sum of 1 odd number and 1 even number must always be odd.


What is the sum of an odd and even number?

The result will always be 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.


The sum of two odd number is?

The sum of two odd primes is always an even answer or number.


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.


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.