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Tuesday, March 3, 2015

March 3: Estimating Square Roots

Unit 6 Tests were returned today, so if you did not do as well as you would have liked, make sure you make your test corrections TONIGHT.  If your score was less than 70%, you are required to complete test corrections!


Today we talked about Estimating Square Roots.  In order to estimate the value of a square root of a number that is not a perfect square, it helps to first KNOW the prefect squares.


 1=
1

 22=
4

 32=
9

 42=
16

 52=
25

 62   =

36

 7=

49

 82=

64

 92=

81

102=
100

112=
121

122=

144


So if we are given the value 82, we can easily see the value will be between the integers 9 and 10, because the square root of 81 is 9, and the square root of 100 is 10.  And since 82 is much closer to 81 than it is to 100, we can also determine that the value of 82 is much closer to 9 than it is to 10.  To confirm this, we can check on a calculator.


And we can see that the square root of 82 is about 9.06, which is of course much closer to 9 than 10.



And be sure to study your perfect square and perfect cube flashcards that were passed out today.  We will be taking a quiz on those on FRIDAY, MARCH 6.

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