7.N.18Identify the two consecutive whole numbers
between which the square root of a non-perfect square whole number less than 225 lies (with and without the use of a number
line)
Perfect Squares (a review)HW10 Answers
1) 25 55 2)
49144
1169 1133
3) 11
4) 1122
5) 77 6) 3300
4900
196100
162254
36
900
7) 22 8) 1155
9) 44
10)
1100
11) 66 12)
114413
)77
0014) 33 15) 88
1600
64
14400
400
81
121
9
16)
1111
17) 4400
18)
20201000019
)99 20) 1212
0021) 1010
00
Non-Perfect SquaresHere is the list of perfect squares perfect squares from 1
to 256.11
24
39
416
525
636
749
864
981
10100
11121
12144
13169
14196
15225
16256
Not every number is a perfect square. If they aren’t, we call them non-perfect non-perfect squaressquares. To find the square root of a number that is not a perfect square, we use estimation with perfect squares.
Non-Perfect Squares
Using the above information (which we should have memorized), what two numbers would the answer to be between?
Yesterday, we tried to make a perfect square out of 10 squares and couldn’t do it.But there is an answer to the square root of 10. We just have to use what we know about the perfect squares to find it.11 24 39 416 525
10
Since 10 is between 9 and 16, the answer to is between the answer to and the answer to .
16910
Non-Perfect Squares
39 416
Since 10 is between 9 and 16, and the answers for those square roots are 3 and 4, the square root of 10 would be between 3 and 4… probably closer to 3 because 10 is closer to 9 than 16. It would be plotted on a number line as below.10
9 1610
3 43.53.162277
…While the calculator answer is there, the point should be able to be placed without the calculator… not exactly, but on the right side of the halfway point.
To find the square root of a number with a TI calculator:
1) Press the “2nd” button
2) Press the “x2” button
3) Type the number you wish to find the square root of.
4) Press “Enter” or “=”
Is the calculator correct when it gives you an answer? Click HERE for the answer on the next slide.
To find the square root of a number with a TI calculator:
1) Press the “2nd” button
2) Press the “x2” button
3) Type the number you wish to find the square root of.
4) Press “Enter” or “=”
Is the calculator correct when it gives you an answer? If you tried to find the answer to the square root of a non-perfect square number, the calculator is only correct until its last digit. The real answer to the square root of a non-perfect square number is a decimal that goes on forever (non-terminating) without repeating (non-repeating). So the last digit that the calculator shows is rounded… close, but not perfect or exact.
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