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Splash Screen. Five-Minute Check (over Lesson 10–1) Then/Now New Vocabulary Key Concept: Irrational Number Example 1: Classify Real Numbers Example 2: Compare Real Numbers Example 3: Order Real Numbers Example 4: Solve Equations

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 10–1) Then/Now New Vocabulary Key Concept: Irrational Number Example 1: Classify Real Numbers Example 2: Compare Real Numbers Example 3: Order Real Numbers Example 4: Solve Equations Example 5: Real-World Example: Use RealNumbers to Solve Problems Lesson Menu

  3. A. B. C.6 D.7 5-Minute Check 1

  4. A. 9 B. 10 C. 11 D. 12 5-Minute Check 2

  5. A. –9 B. –8 C. 7 D. 8 5-Minute Check 3

  6. A. 7 B. 8 C. 9 D. 10 5-Minute Check 4

  7. The area of a square is 200 cm2. Estimate the length of a side of the square. A. 12 cm B. 14 cm C. 15 cm D. 20 cm 5-Minute Check 5

  8. A.A B.B C.C D.D 5-Minute Check 6

  9. You have already compared fractions and decimals. (Lesson 3–1) • Identify and compare numbers in the real number system. • Solve equations by finding square roots. Then/Now

  10. irrational numbers • real numbers Vocabulary

  11. Concept

  12. A.Name all of the sets of numbers to which the real number 0.246 belongs. Write whole, integer, rational, or irrational. Answer: This decimal is a rational number because its digits repeat. It is equivalent to Classify Real Numbers Example 1 A

  13. B.Name all of the sets of numbers to which the real number belongs. Write whole, integer, rational, or irrational. Answer: Since this number is a whole number, an integer, and a rational number. Classify Real Numbers Example 1 B

  14. Answer: Classify Real Numbers C. Name all the sets of numbers to which the real number –7.25 belongs. Write whole, integer, rational, or irrational. Example 1 C

  15. D.Name all of the sets of numbers to which the real number belongs. Write whole, integer, rational, or irrational. Answer: Classify Real Numbers Example 1 D

  16. A. Name all the sets of numbers to which the real number 0.380 belongs. Write whole, integer, rational, or irrational. A. rational number B. irrational number C. integer, rational number D. whole number Example 1 CYP A

  17. B. Name all the sets of numbers to which the realnumber belongs. Write whole, integer, rational,or irrational. A. rational number B. irrational number C. integer, rational number D. whole number Example 1 CYP B

  18. C. Name all the sets of numbers to which –2.25 belongs. Write whole, integer, rational, or irrational. A. rational B. whole, integer, rational C. whole, integer D. irrational Example 1 CYP C

  19. D. Name all the sets of numbers to which belongs. Write whole, integer, rational, or irrational. A. rational B. whole, integer, rational C. whole, integer D. irrational Example 1 CYP D

  20. Compare Real Numbers Express each number as a decimal. Then compare the decimals. Example 2

  21. Compare Real Numbers Example 2

  22. A. < B. > C. = D. none of the above Example 2 CYP

  23. Order Real Numbers Express each number as a decimal. Then order the decimals. Example 3

  24. Order Real Numbers Example 3

  25. A. B. C. D. Example 3 CYP

  26. Solve Equations A.Solve w2 = 169. Round to the nearest tenth, if necessary. w2 = 169 Write the equation. Definition of square root. w = 13 or w = –13 Answer: The solutions are 13 and –13. Example 4 A

  27. Solve Equations B. Solve r2 = 50. Round to the nearest tenth, if necessary. r2 = 50 Write the equation. Definition of square root. Use a calculator. Answer: The solutions are approximately 7.1 and –7.1. Example 4

  28. A. Solve the equation m2 = 81. Round to the nearest tenth, if necessary. A. 8 B. 8 and –8 C. 9 D. 9 and –9 Example 4 CYP A

  29. B. Solve the equation h2 = 24. Round to the nearest tenth, if necessary. A. 4.8 and –4.8 B. 4.9 C. 4.9 and –4.9 D. 5 and –5 Example 4 CYP B

  30. Use Real Numbers to Solve Problems Write the formula. Replace R with 6.4 and A with 40. Example 5

  31. Use Real Numbers to Solve Problems Multiply each side by 40. Consider only the positive square root. Simplify. Answer: The wingspan is 16 feet. Example 5

  32. A. 7.1 ft B. 9.9 ft C. 14 ft D. 98 ft Example 5

  33. End of the Lesson

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