SAMPLE Fundamentals of Math

Fundamentals of Mathematics

Figure 1.1.2: Operator Symbols Addition Subtraction Multiplication Division + − or or × ( ) * or ÷ /

1.2 Properties of Real Numbers A quick Google search asking for a definition of Real numbers will yield many results; however, they ultimately all draw the same conclusion.

Real numbers have a value of a continuous quantity. Collectively these values can be represented as a distance along a line.

Let's take a moment to unpack that statement, starting with "continuous quantity". To the average human most vales we interact with daily are rather fixed (e.g., $1.99, 20%, ¼ cup, ...), but numbers exists beyond these finite values. It is possible for a value to go on forever - like pi for instance. π≈3. 141592653589793238462643383279502884197169399375105820974… Some continuous values may even form repeatable patterns. 1 3 ≈0. 33333333333333333333333333333333333333333333333333333333… In essence, pretty much any number you can think of is a Real number, but because Real numbers contain so many types of numbers, we can further categorize them into parts to make them more discernible.

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