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Math 221 Section 1.1

Math 221 Section 1.1. Yvette Gonzalez-Smith Ashford University. Classification of numbers. There are a few classifications of numbers. They include Natural Numbers Whole Numbers Rational Numbers Irrational Numbers Real Numbers. Natural and Whole Numbers.

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Math 221 Section 1.1

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  1. Math 221 Section 1.1 Yvette Gonzalez-Smith Ashford University

  2. Classification of numbers There are a few classifications of numbers. They include • Natural Numbers • Whole Numbers • Rational Numbers • Irrational Numbers • Real Numbers

  3. Natural and Whole Numbers • Natural numbers are counting numbers that do not include zero. Example 1, 2, 3 . . . • Whole Numbers are natural numbers including zero

  4. Rational Numbers • Numbers that can be written as a fraction where top number on the fraction can be zero but the bottom number on the fraction can not be zero. Examples: Example of what a rational number cannot be

  5. Irrational Numbers Irrational Numbers are what rational numbers are not. This includes decimals that repeat forever. Examples

  6. Real Numbers • Real numbers are numbers that have a place on the number line. Examples

  7. Number Lines How to draw a number line: • Draw a horizontal line • Draw vertical lines that are evenly spaced • Add numbers with zero in the center -3 -2 -1 0 1 2 3

  8. Absolute Value Absolute Value is the how far a number is from zero Both 3 and -3 are 3 spaces from zero so absolute value is 3 so |-3| =3 and |3|=3 -3 -2 -1 0 1 2 3

  9. Interval Notation (Dugopolski 2012)

  10. Interval Notation (2,10) means every number between 2 and 10 [-3, 5] means every number between -3 and 5 including -3 and 5 [-5, 7) means every number greater than and equal to -5 and every number less than 7 (2, 13] means every number greater than 2 and less than and equal to 13

  11. Opposite of an opposite The opposite of -4 is 4 and the opposite of 4 is -4 -(-4) = 4 -(4) = 4

  12. Works Cited Dugopolski, M (2012) Elementary and Intermediate Algebra. New York, NY: Mc-Graw Hill

  13. THE END

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