section 1.4- estimating square...
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Section 1.4- Estimating Square Roots
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Investigate- Page 22
12 = 1 x 1 = 1 √1= 122 = 2 x 2 = 4 √4 = 2
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The square root of a square number will always be a whole number or an exact square root.
Ex: √16 = √4x4 = 4
The square roots of numbers that are not square numbers will not be a whole number and must be estimated.
Ex: √20
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To estimate square roots we need to know the first 12 perfect square numbers!!!!!!!!!!
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Estimating Square Roots1. Using a number line
Determine which two consecutive square numbers the number lies between.
Estimate the square root on the number line.
Ex: √45 45 is between the consecutive square numbers ___ and ___
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Ex: √20
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2) Using a calculator to guess and test Determine which two consecutive square numbers the number lies between.
Estimate the square root.
Use calculator to guess and test.
Ex: √93 81<93<100 so √81<√93<√100Guess and Test!
Try 9.5Try 9.6Try 9.7Try 9.65Try 9.64
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Examples:
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3) Using square root button on a calculator
Gives an approximate value!
Ex: √33
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