6. 1, 2, 3, 4, etc. 0, 1, 2, 3, 4, 5 .. –2, –1, 0, 1, 2, . Rational and irrational numbers Can be written as a fraction Can’t be written as a fraction
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13. GUIDED PRACTICE for Example 1 Tell whether the number is rational or irrational . Explain your reasoning. 5 8 1.
14. GUIDED PRACTICE for Example 1 Tell whether the number is rational or irrational . Explain your reasoning. 5 8 1. Rational because if we write it in its decimal form then it would be 0.625 which is terminating so it is a rational number ANSWER
15. GUIDED PRACTICE for Example 1 Tell whether the number is rational or irrational . Explain your reasoning. 2.
16. GUIDED PRACTICE for Example 1 Tell whether the number is rational or irrational . Explain your reasoning. 2. ANSWER Irrational because it is not a perfect square 2.64579131 . . . .
17. GUIDED PRACTICE for Example 1 Tell whether the number is rational or irrational . Explain your reasoning. 3.
18. GUIDED PRACTICE for Example 1 Tell whether the number is rational or irrational . Explain your reasoning. 3. ANSWER Rational because it is a perfect square
19. GUIDED PRACTICE for Example 1 Tell whether the number is rational or irrational . Explain your reasoning. 4. 2 9
20. GUIDED PRACTICE for Example 1 Tell whether the number is rational or irrational . Explain your reasoning. 4. 2 9 ANSWER Rational because if we write it in its decimal from then it would be 0.2 where 2 repeating so it is a rational number
21. EXAMPLE 1 Number Rational Rational Irrational Terminating Repeating Non terminating and non repeating Classifying Real Numbers Type Decimal Form Type of Decimal a. 3 4 b. 1 11 c. 3 11 1 = 0.0909… = 0.09 3 = 1.7320508 . . . 3 4 = 0.75 3
