Parity is a topic that is only briefly touched upon in school. It is one of those topics that students need extra study on in order to do better on the math portion of the SAT.

**Parity**just means whether an integer is even or odd. It is a property of an integer. For example, we say that 0 has even parity, and 1 has odd parity.

Even integers: ..., -4, -2, 0, 2, 4, ...

Odd integers: ..., -3, -1, 1, 3, ...

You should be able to tell quickly if an integer is even or odd. Just look at the last digit. If the last digit is even (0, 2, 4, 6, 8), the integer is even. If the last digit is odd (1, 3, 5, 7, 9), the integer is odd. When looking at the examples below, don't actually perform the operations! Try to sense quickly whether the integers are even or odd, and if the result should be even or odd.

You need to know how parity behaves when two integers are added, subtracted, multiplied, or divided. A special case of multiplication is taking powers. In this post, I will go over the rules for these. Problems can get harder when variables or other complications are involved--this may be covered in a future article.