Course Estimating Square Roots Warm Up Find the two square roots of each number. Evaluate each expression. 12 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 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

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

Course Estimating Square Roots Example 1 55 Think: What are perfect squares close to 55? 7 2 = < = > is between 7 and 8 because 55 is between 49 and 64.

Course Estimating Square Roots 90 – Example 2 Think: What are perfect squares close to 90? –9 2 = < 90 –10 2 = > 90 is between –9 and –10 because 90 is between 81 and –

Course Estimating Square Roots Example 3 80 Think: What are perfect squares close to 80? 8 2 = < = > is between 8 and 9 because 80 is between 64 and 81.

Course Estimating Square Roots 45 – Think: What are perfect squares close to 45? –6 2 = < 45 –7 2 = > 45 Example 4 is between –6 and –7 because 45 is between 36 and –

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

Course Estimating Square Roots Example 5 Using a calculator, 600 ≈ …. Rounded, 600 is Use a calculator to find 600. Round to the nearest tenth.

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

Course Estimating Square Roots Lesson Summary Each square root is between two integers. Name the two integers – 456 Use a calculator to find each value. Round to the nearest tenth 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 – ft