Understanding Square Roots and Estimation Methods
Explore the concept of square roots, learn how to estimate them without calculators using perfect roots, understand positive and negative square roots, and master the fundamentals through examples. Discover the relationship between perfect roots and square roots, and enhance your mathematical skills.
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Bell Ringer Write the percent change: From 99 to 17 12 to 28 56 to 57 1 to 99 *** What is a square root? ***
Estimating Square Roots Mr. Haupt CC.2.1.8.A.2; CC.2.1.8.A.3
First You should have your roots memorized from 1 to 15 82 = 64 12 = 1 92 = 81 22 = 4 102 = 100 32 = 9 112 = 121 42 = 16 122 = 144 52 = 25 132 = 169 62 = 36 142 = 196 72 = 49 152 = 225
No Calculators Today To estimate a square root, you need to know what perfect roots are closest. The perfect roots are like what were on the previous slide, where the square root is a whole number. Once you know which two numbers your number is in between, you can estimate your square root.
Positive and Negatives Since square roots are when you multiply the same number to get the number under the square root symbol, we have to use the positive and negative answer. For example the square root of 64 is not just 8, it is also -8. 8 * 8 = 64, and -8 * -8 = 64 How can we write that easier? Why can t we take the square root of a negative?
