When adding two odd numbers, what type of number is the result?

Prepare for the Praxis Elementary Education Test Math section. Study with interactive questions and explanations. Prepare confidently for your exam!

When two odd numbers are added together, the result is always an even number. This occurs because odd numbers can be described as numbers that can be expressed in the form of 2n + 1, where n is an integer. When you add two odd numbers, you can represent them as (2n + 1) + (2m + 1) for some integers n and m.

Simplifying that gives you 2n + 2m + 2, which can be factored to 2(n + m + 1). Since the result is a multiple of 2, it is even. Thus, the sum of two odd numbers will never be odd, prime, or composite. Primality and compositeness apply to natural numbers greater than 1 and typically involve the properties of numbers being divisible by other numbers. However, in this case, the important takeaway is that the sum of two odd integers will always yield an even integer.

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