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The document discusses the real number system and its subsets. It defines natural numbers, whole numbers, integers, rational numbers, irrational numbers, terminating decimals, and repeating decimals. Rational numbers can be expressed as fractions, while irrational numbers are non-terminating and non-repeating decimals. The real number system is represented by a Venn diagram showing the relationships between its subsets. Examples are provided to demonstrate how to classify numbers as rational or irrational.

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The Real Number System Mr. Ferguson’s Class
Real Numbers ,[object Object],[object Object],[object Object],[object Object],[object Object]
Natural Numbers ,[object Object],[object Object]
Whole Numbers ,[object Object],[object Object]
Integers ,[object Object],[object Object]
Rational Numbers ,[object Object],[object Object]
Terminating Decimals ,[object Object],[object Object],[object Object],[object Object],[object Object]
Repeating Decimals ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Irrational Numbers ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Other Vocabulary Associated with the Real Number System ,[object Object],[object Object],[object Object],[object Object],[object Object]
Venn Diagram of the Real Number System Irrational Numbers Rational Numbers
Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
To show how these number are classified, use the Venn diagram. Place the number where it belongs on the Venn diagram. Rational Numbers Integers Whole Numbers Natural Numbers Irrational Numbers -12.64039… 117 0 6.36 -3
Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
FYI…For Your Information ,[object Object]

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Realnumbersystemnotes

  • 1. The Real Number System Mr. Ferguson’s Class
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11. Venn Diagram of the Real Number System Irrational Numbers Rational Numbers
  • 12.
  • 13. To show how these number are classified, use the Venn diagram. Place the number where it belongs on the Venn diagram. Rational Numbers Integers Whole Numbers Natural Numbers Irrational Numbers -12.64039… 117 0 6.36 -3
  • 14.
  • 15.