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.