4 6 Estimating Square Roots Warm Up Find

4 -6 Estimating Square Roots Learn to estimate square roots to a given number

4 -6 Estimating Square Roots of Numbers Each square root is between two integers.

4 -6 Estimating Square Roots Example 1 55 Think: What are perfect squares close

4 -6 Estimating Square Roots Example 2 – 90 Think: What are perfect squares

4 -6 Estimating Square Roots Example 3 80 Think: What are perfect squares close

4 -6 Estimating Square Roots Example 4 – 45 Think: What are perfect squares

4 -6 Estimating Square Roots Estimating Large Square Roots Use a calculator to find

4 -6 Estimating Square Roots Example 5 Use a calculator to find the nearest

4 -6 Estimating Square Roots Example 6 Use a calculator to find the nearest

4 -6 Estimating Square Roots Lesson Summary Each square root is between two integers.

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4 -6 Estimating Square Roots Warm Up Find the two square roots of each number. 1. 144 ± 12 2. 256 Evaluate each expression. 3. 8+ 144 20 4. 7 289 ± 16 119 5. A square window has an area of 169 square inches, how wide is the window? 6. A square shaped kitchen table has an area of 16 square feet. Will it fit through a van door that has a 5 foot wide opening? Course 3

4 -6 Estimating Square Roots Learn to estimate square roots to a given number of decimal places and solve problems using square roots. Course 3

4 -6 Estimating Square Roots of Numbers Each square root is between two integers. Name the integers. Explain your answer. Course 3

4 -6 Estimating Square Roots Example 1 55 Think: What are perfect squares close to 55? 72 = 49 49 < 55 82 = 64 64 > 55 55 is between 7 and 8 because 55 is between 49 and 64. Course 3

4 -6 Estimating Square Roots Example 2 – 90 Think: What are perfect squares close to 90? – 92 = 81 81 < 90 – 102 = 100 > 90 – 90 is between – 9 and – 10 because 90 is between 81 and 100. Course 3

4 -6 Estimating Square Roots Example 3 80 Think: What are perfect squares close to 80? 82 = 64 64 < 80 92 = 81 81 > 80 80 is between 8 and 9 because 80 is between 64 and 81. Course 3

4 -6 Estimating Square Roots Example 4 – 45 Think: What are perfect squares close to 45? – 62 = 36 36 < 45 – 72 = 49 49 > 45 – 45 is between – 6 and – 7 because 45 is between 36 and 49. Course 3

4 -6 Estimating Square Roots Estimating Large Square Roots Use a calculator to find answer, round to the nearest tenth. Course 3

4 -6 Estimating Square Roots Example 5 Use a calculator to find the nearest tenth. Using a calculator, Rounded, Course 3 600. Round to 600 ≈ 24. 49489742…. 600 is 24. 5.

4 -6 Estimating Square Roots Example 6 Use a calculator to find the nearest tenth. Using a calculator, Rounded, Course 3 800. Round to 800 ≈ 28. 2842712…. 800 is 28. 3.

4 -6 Estimating Square Roots Lesson Summary Each square root is between two integers. Name the two integers. 1. 27 5 and 6 2. – 456 – 22 and – 21 Use a calculator to find each value. Round to the nearest tenth. 3. 89 9. 4 4. 1223 35. 0 5. A square field has an area of 2000 square feet. To the nearest foot, how much fencing would be needed to enclose the field? 179 ft Course 3