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Parity - Even and Odd Integers

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.

TI-89 Titanium calculator

I am meaning to write a long, detailed post about the TI-89 Titanium calculator; however, I want to introduce it quickly for now.  I will fill in the details later.  In the future, I will also have posts dedicated to using this calculator, including custom programs for it.

For some strange reason, the TI-89 calculator is allowed on the SAT Math Level 2 subject test.  Having this calculator, knowing how to use it well, and having it equipped with the right programs are definitely huge advantages when taking the test.  I say this from having spent 2 years teaching prep classes specifically geared towards using this calculator.

You can find the calculator in many stores like Target, Best Buy, OfficeMax, etc.  If you prefer shopping online and getting a better price (and want to help support my blog), check out the following: