Lesson 1-9

Once you have found which two whole numbers your square root is between, you must estimate your square root to the nearest tenth. Decide which whole number your original number is closest to. Test the square root tenths to find the nearest square to your original number. Example: Estimate √83 to the nearest tenth. In example 1 we estimated that √83 is between 9 and 10 Since 83 is closer to 81 than 100, we can test tenths close to 9. (9.1)² = – = 0.19 (9.2)² = – = 1.64 Since (9.1)² is closer to 83, √83 is estimated as 9.1 √83 ≈ 9.2

 To order a set of numbers that include square roots, you must first estimate the decimal equivalent of the square roots.  Then order the numbers  Finally, write the numbers in their original form.  Example: Order the set {7, 9, √50, √85}. 1. Estimate the square roots {7, 9, 7.1, 9.2} 2. Order the decimals {7, 7.1, 9, 9.2} 3. Rewrite in original form {7, √50, 9, √85}

 Estimate to the nearest tenth.

p 85 #1-31 odd, all