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Real Numbers

Real Numbers

Author: Laura Kniffin

New terms and definitions
Identifies real numbers as either rational or irrational

This packet includes definitions and a diagram better explaining what real numbers include.

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New terms you need to know:

Whole Numbers: numbers 0, 1, 2, 3, 4......

Integers: numbers ....-3, -2, -1, 0, 1, 2, 3....

        -Positive Integers: integers that are greater than 0 (1, 2, 3...)

        -Negative Integers: integers that are less than 0 (-1, -2, -3...)

      -The integer 0 is neither negative or positive

Rational Numbers: a number a/b where a and b are integers and b is not equal to 0. For example: (-1/2) is a rational number because it can be written as (1/-2), as well. When you divide rational numbers your decimal expansion will repeat or end (0.5, 0, .1313...)

Irrational Numbers: numbers whose decimal expansions never repeat. Examples: 1.414213562373...(sqrt(2)) or 3.141592653589...(pi)

What are Real Numbers?

Real Numbers include:

-all whole numbers

-rational numbers

-irrational numbers


Real Numbers DO NOT include:

-imaginary numbers such as sqrt(-1)


Real Numbers

Example Chart

Answers to Practice Chart