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Real Numbers

 

The set of real numbers includes all integers (negative and positive numbers) and both rational and irrational numbers. Therefore the set of real numbers includes all numbers that you currently know of (and will study this year).  It does not include imaginary numbers which you will learn about in the future.

Integers are whole numbers that are greater than zero (positive) or less than zero (negative) and zero.

Rational numbers are numbers that can be expressed as a ratio of two integers.  All rational numbers can be expressed as either terminating decimals or repeating decimals

       examples of rational numbers - ,,,

 

Irrational numbers are numbers that are non-terminating and non-repeating decimals.

        examples of irrational numbers - Pi, which is the ratio of the circumference of a circle divided by the diameter, this number is a non-repeating/non-terminating decimal, is also a non-repeating/non-terminating decimal