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Lesson: Challenging Problem Solving - 10

Advanced Number Properties

[Page 10 of 37]
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Number properties, as you may recall from the Problem Solving Basics module, are characteristics of numbers (i.e., odd/even, negative/positive, multiple/factor) that determine how those numbers behave when mathematical operations (i.e., addition, division) are performed on them.

Many questions that are designed to test this type of knowledge do not include 'real' numbers. Instead, they often include descriptions of numbers, or variables that describe categories of numbers. For this reason, Picking Numbers works very well on many Number Properties questions—just choose numbers that fit the description provided, and apply them to the question stem.

Without the Picking Numbers strategy, Number Properties questions would have to be solved by using number property rules and definitions—a topic we will review shortly. Therefore, Picking Numbers is a great way to make a tough conceptual question into a much simpler arithmetic one.

Before moving on to our review of number properties rules, let's take a look at a particularly challenging type of Number Properties question that is an excellent choice for Picking Numbers.

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