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6.6 Rational Numbers

6.6 Rational Numbers. Definition. A rational number is a number that can be written as a , where b a and b are integers b≠0 . Rational Numbers. Integers. Whole #’s. Example 1. Show that the number is rational by writing it in a/b form 6 -3/5 0.75 -2 1/3.

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6.6 Rational Numbers

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  1. 6.6 Rational Numbers

  2. Definition • A rational number is a number that can be written as a , where b a and b are integers b≠0 Rational Numbers Integers Whole #’s

  3. Example 1 Show that the number is rational by writing it in a/b form • 6 • -3/5 • 0.75 • -2 1/3

  4. Example 2: Ordering • Order -1, -1.6, 2/5. -1 ¼, -3/8 from least to greatest • Graph each on a number line -2 -1 0 1

  5. Your Turn!! • Show that each number is rational by writing it in a/b form. Then order the numbers from least to greatest. • 1. 2.5, -1, -5/8, -0.8 • 2. 4 1/5 , -3.6, -3 8/9, 0

  6. Definition • Commutative and Associative Properties: The commutative and associative properties can help you add or multiply rational numbers.

  7. Table

  8. Example 3 • Evaluate the expression. Justify each step you take. • A. -10.6 + 3 + (-4.4) B. -25(7)(4)

  9. Your Turn!! • Evaluate the expression. Justify each step you take. • 3. 3.5 + [(-3) + 6.5] • 4. 5(-9)(-4) • 5. -6(3)(-5) • 6. 2.8 + 7 + (-1.8) • 7. 0.5 (7)(8) • 8. 0.9 + [9.1 + (-2)]

  10. Definition • Inverse and Identify Properties: The inverse and identity properties can help you use mental math to evaluate expressions.

  11. Table

  12. Example 4 • Evaluate The expression. Justify each step you take. • 2/3 + 7/10 + (-2/3) =

  13. Your Turn!! • Evaluate the Expression. Justify each step you take. • 9. 94 + 87 + (-94) • 10. -3/4 + 5/6 + ¾ • 11. 1/9 x 91 x 9 • 12. 1/3 x 5/6 x 3 • 13. -53 + (-25) + 53 • 14. 1/6 x 310 x 6

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