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Real Numbers

Real Numbers. Everything you ever wanted to know. Even if you never wanted to know. Rational and Irrational Numbers. Key Question: How do I distinguish between rational and irrational numbers?. First, some terms:. Natural numbers: 1, 2, 3, 4, 5, 6……..

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Real Numbers

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  1. Real Numbers Everything you ever wanted to know. Even if you never wanted to know.

  2. Rational and Irrational Numbers Key Question: How do I distinguish between rational and irrational numbers?

  3. First, some terms: • Natural numbers: 1, 2, 3, 4, 5, 6…….. • Whole numbers: 0, 1, 2, 3, 4, 5, 6……… • Integers: ……-5, -4, -3, -2, -1, 0, 1, 2, 3, etc.

  4. Rational numbers: numbers that can be written as the quotient of two integers (a fraction) or as either a terminating or repeating decimal. ⅗, 5, 2.4, ⅔, 3¼, √16 • Irrational numbers: numbers that can’t be written as the quotient of two integers. √8, √3, π

  5. Venn Diagram Rational Numbers: -2.1, 3⅙, ⅞ Real Numbers Integers: -3, -19 Irrational Numbers: √6, π Whole Numbers: 0 Natural Numbers: 1, 2, 3, etc.

  6. Classifying Real Numbers Write all classifications that apply to each number.

  7. Classifying Real Numbers Write all classifications that apply to each number.

  8. Special Note A fraction with a denominator of 0 is undefined because you cannot divide by zero. It is not rational or irrational. Example:

  9. State if each number is rational, irrational, or not a real number.

  10. State if each number is rational, irrational, or not a real number.

  11. State if each number is rational, irrational, or not a real number.

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