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Course 3 4-6 Estimating Square Roots Warm Up Find the two square roots of each number. Evaluate each expression. 1216 20 119 1. 144 2. 256 3. 8+ 144 4. 7 289 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?
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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
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Course 3 4-6 Estimating Square Roots Estimating Square Roots of Numbers Each square root is between two integers. Name the integers. Explain your answer.
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Course 3 4-6 Estimating Square Roots Example 1 55 Think: What are perfect squares close to 55? 7 2 = 49 49 < 55 8 2 = 64 64 > 55 55 is between 7 and 8 because 55 is between 49 and 64.
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Course 3 4-6 Estimating Square Roots 90 – Example 2 Think: What are perfect squares close to 90? –9 2 = 81 81 < 90 –10 2 = 100 100 > 90 is between –9 and –10 because 90 is between 81 and 100. 90 –
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Course 3 4-6 Estimating Square Roots Example 3 80 Think: What are perfect squares close to 80? 8 2 = 64 64 < 80 9 2 = 81 81 > 80 80 is between 8 and 9 because 80 is between 64 and 81.
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Course 3 4-6 Estimating Square Roots 45 – Think: What are perfect squares close to 45? –6 2 = 36 36 < 45 –7 2 = 49 49 > 45 Example 4 is between –6 and –7 because 45 is between 36 and 49. 45 –
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Course 3 4-6 Estimating Square Roots Estimating Large Square Roots Use a calculator to find answer, round to the nearest tenth.
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Course 3 4-6 Estimating Square Roots Example 5 Using a calculator, 600 ≈ 24.49489742 …. Rounded, 600 is 24.5. Use a calculator to find 600. Round to the nearest tenth.
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Course 3 4-6 Estimating Square Roots Example 6 Rounded, 800 is 28.3. Using a calculator, 800 ≈ 28.2842712 …. Use a calculator to find 800. Round to the nearest tenth.
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Course 3 4-6 Estimating Square Roots Lesson Summary Each square root is between two integers. Name the two integers. 1. 27 2. – 456 Use a calculator to find each value. Round to the nearest tenth. 3. 89 4. 1223 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? 5 and 6–22 and –21 9.435.0 179 ft
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