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Warm Up Math 9 Sept 13, 2010 Day 4 1) Find the perfect square whose square root is a) 0.5 b) 8 7 Are 2) Is the following fractions or decimals perfect squares? Explain a) 0.049 b) 1.69 c) 20 45 Square Roots of NonPerfect Squares Perfect Squares... 16 25 9 1 4 144 256 NonPerfect Squares... 15 8 2 11 20 167 19 Non perfect Squares cannot be written as a product of two equal numbers Estimating square roots of nonperfect squares. Estimate the square root of 7.5. Method #1 Method #2 Using Benchmarks: Using a Calculator: Determine what two perfect squares 7.5 is between. 4 5 6 7 8 9 If the answer does not appear to terminate (stop) or repeat estimate the answer by rounding. Then estimate the square root of 7.5. Estimate the square root of 3 . 7 Method #1 1. Find the perfect squares closest to the numerator and denominator. 2. Take the square roots of the numbers you have chosen. Method #2 1. Change the fraction to a decimal, then using benchmarks or a calculator estimate the square root. 2. Using benchmarks or a calculator estimate the square root. 3 is close to which perfect square? _____ 7 is close to which perfect square? _____ Finding a Number with a Square Root between Two Given Numbers. Find a decimal that has a square root between 10 and 11. Method #1 Method #2 Identify the perfect squares first. 10 11 100 Choose any number between them... and find the square root. √115=10.7 121 Identify any decimal first. 10 11 10.4 Now square the number. (10.4)2=108.16 Please try questions 4 to 12 on pages 18 and 19. OY! ENJ