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Lesson 3-2 Ideas/Vocabulary

Estimate square roots. Lesson 3-2 Ideas/Vocabulary. 8.1 The student understands that different forms of numbers are appropriate for different situations. (C) Approximate (mentally and with calculators) the value of irrational numbers as they arise from problem situations (such as π , ).

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Lesson 3-2 Ideas/Vocabulary

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  1. Estimate square roots. Lesson 3-2 Ideas/Vocabulary

  2. 8.1The student understands that different forms of numbers are appropriate for different situations. (C)Approximate (mentally and with calculators) the value of irrational numbers as they arise from problem situations (such as π, ). Lesson 3-2 TEKS

  3. Estimate to the nearest whole number. Plot each square root on a number line. Then plot . Estimate Square Roots The first perfect square less than 54 is 49. The first perfect square greater than 54 is 64. Lesson 3-2 Example 1

  4. Find the square root of each number. 7 < < 8 Simplify. Answer: So, is between 7 and 8. Since 54 is closer to 49 than 64, the best whole number estimate for is 7. Estimate Square Roots 49 < 54 < 64 Write an inequality. 72 < 54 < 82 49 = 72 and 64 = 82 Lesson 3-2 Example 1

  5. Estimate to the nearest whole number. • A • B • C • D A. 5 B. 6 C. 7 D. 8 Lesson 3-2 Example 1 CYP

  6. Estimate to the nearest whole number. Plot each square root on a number line. Then plot Estimate Square Roots The first perfect square less than 41.3 is 36. The first perfect square greater than 41.3 is 49. Lesson 3-2 Example 2

  7. Find the square root of each number. 6 < < 7 Simplify. Answer: So, is between 6 and 7. Since 41.3 is closer to 36 than 49, the best whole number estimate for is 6. Estimate Square Roots 36 < 41.3 < 49 Write an inequality. 62 < 41.3 < 72 36 = 62 and 49 = 72 Lesson 3-2 Example 2

  8. Estimate to the nearest whole number. • A • B • C • D A. 3 B. 4 C. 5 D. 6 Lesson 3-2 Example 2 CYP

  9. FINANCE If you were to invest $100 in a bank account for two years, your investment would earn interest daily and be worth more when you withdrew it. If you had $120 after two years, the interest rate, written as a decimal, would be found using the expression . Estimate this value. Estimate Square Roots to Solve a Problem Lesson 3-2 Example 3

  10. 10 < < 11 Find the square root of each number. First estimate the value of Estimate Square Roots to Solve a Problem 100 < 120 < 121 100 and 121 are the closest perfect squares. 102 < 120 < 112 100 = 102 and 121 = 112 Lesson 3-2 Example 3

  11. Since 120 is closer to 121 than 100, the best whole number estimate for is 11. Use this to evaluate the expression. Estimate Square Roots to Solve a Problem Answer: The approximate interest rate is 0.10 or 10%. Lesson 3-2 Example 3

  12. FINANCE If you were to invest $100 in a bank account for two years, your investment would earn interest daily and be worth more when you withdrew it. If you had $150 after two years, the interest rate, written as a decimal, would be found using the expression . Estimate this value. Lesson 3-2 Example 3 CYP

  13. FINANCEEstimate the value of . • A • B • C • D A. 0.10 B. 0.15 C. 0.20 D. 0.25 Lesson 3-2 Example 3 CYP

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