Square Roots, Irrational Numbers, Perfect Squares, Estimating Square Roots

Square Roots

100

sqrt49

7

200

sqrt36

6

300

sqrt121

11

400

sqrt144

12

500

sqrt225

15

Find the solutions

100

List the possible solutions for the square root of 64

-8, 8

200

List the possible solutions for the square root of -81

There is no solution 

300

What is the cube root of -8?

-2

400

What is the cube root of -64? 

-4

500

What is the square root of -100?

There is no solution.

Irrational Numbers

100

Is

sqrt3

 rational or irrational.

Irrational

200

Is 3 rational or irrational?

Rational

300

Why are all whole numbers rational?

Yes, because they terminate.

400

Is

sqrt(5+8)

 rational?

NO, the square root of 13 is irrational

500

Is 27 divided by

sqrt9

 rational?

This makes 27/3 which is 9, so it is rational.

Estimating Square Roots

100

What integers is this between?

sqrt13

3 and 4

200

What integers is this between?

sqrt72

8 and 9

300

what integers are between  

sqrt53

7 and 8

400

What integers are between square root of 65

8 and 9

500

Describe in words how you can estimate the square root of an imperfect square.

Find the 2 perfect squares it is between for the whole number.  For the decimal choose a number below 5 if it's closer to the low square or above 5 if it's closer to the higher square.

Repeating decimals as fractions

100

Write 0.2 repeating as a fraction

2/9

200

Write 0.6 repeating as a fraction.

2/3

300

Write 0.25 repeating as a fraction.

25/99

400

write 0.45 repeating as a fraction simplified 

5/11

500

Write 0.42 repeating as a fraction simplified. 

14/33