SECTION 7.3ESTIMATING PERFECT SQUARES
I) REVIEW: PERFECT SQUARES
A number that is the square of another number
Square roots of “perfect squares” are integers
Ex: Indicate which of the following are perfect squares
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If a number is not a perfect square, we can use PS tofind the square root of that number
Largest P.S. that issmaller than 189
Smallest P.S. thatis larger than 189
II) ESTIMATING SQUARE ROOTS
Ex: Given each roots, estimate the value and draw it on anumber line:
Find two perfect squarethat 17 is in between
Place the values on a
Number line
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PRACTICE: ESTIMATE THE FOLLOWING ROOTS ANDDRAW IT ON A NUMBER LINE @
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III) ESTIMATING SQUARE ROOTS
Numbers Larger than One
To Estimate, group the digits into pairs, starting at thedecimal point.
Estimate square root of 1st digits farthest from thedecimal point (Left)
Add 0’s for each other groups of 2 digits afterwards
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Numbers Between Zero and One
Estimate square root of the “NON-ZERO” groupclosest to decimal
Add zeroes for each group of 2 digits afterwards
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