Rational or Irrational?
Square Root Detective
Order It!
Number Line Challenge
Exponent Mania
100

Is the following number rational or irrational?

0.75

Rational

100

Between which two whole numbers is:

\sqrt{20}

4 and 5

100

Oder from least to greatest:

\sqrt{9},\ 5,\ 2

2,\ \sqrt{9},\ 5

100

Where would the following number be located on a number line? 

\sqrt{16}

On 4

100

Simplify and list the rule:

5^3\cdot5^4

Multiplication Rule

5^7

200

Is the following number rational or irrational?

\sqrt{49}

Rational because

\sqrt{49}=7

200

Between which two whole numbers is:

\sqrt{70}

8 and 9

200

Order from least to greatest:

\sqrt{20},\ 5,\ 4

4,\ \sqrt{20},\ 5

200

Between which two integers would you place:

\sqrt{35}

Between 5 and 6

200

Simplify and list the rule

\frac{7^9}{7^4}

Division Rule

7^5

300

Is the following number rational or irrational? 

\sqrt{30}

Irrational

300

Which whole number is the square root closets to?

\sqrt{42}

6

300

Order from least to greatest:

\sqrt{30},\ 2\pi,\ 5

5,\ \sqrt{30},\ 2\pi

300

Between which two integers would you place: 

-\sqrt{18}

Between -5 and -4

300

Simplify and list the rule:

(3^4)^2

Power of a Power

3^8

400

Classify ALL of the following as rational or irrational. 

\frac{5}{8},\ \sqrt{18},\ \pi,\ 0.454545...

\frac{5}{8} = Rational

\sqrt{18} = Irrational 

\pi = Irrational 

0.454545...

400

Approximate the value of:

3\sqrt{7}

27 because 

sqrt 7 ~~ sqrt9

3 times 3 =9

400

Order from least to greatest:

\sqrt{40},\ 2\pi,\ \frac{20}{3},\ 7

2\pi,\ \sqrt{40},\ \frac{20}{3},\ 7

400

Place these numbers in order from left to right on a number line: 

\sqrt{25},\ \frac{17}{3},\ 2\pi,\ \sqrt{50}

\sqrt{25},\ \frac{17}{3},\ 2\pi,\ \sqrt{50}

400

Simplify your answer using a POSITIVE exponent and list the rule(s)
 \frac{6^3}{6^7}  

Division and negative exponent rules

\frac{1}{1296} or \frac{1}{6^4}

500

Which of the following are rational? Select all that apply.

A.\ \sqrt{81}

B.\ 3\pi 

C.\ 0.121212... 

D.\ \sqrt{27} 

E.\ \frac{17}{6}

A, C, E

500

Which whole number is this expression closet to?

2\sqrt{15}

8

500

Order from least to greatest:

\sqrt{50},\ \frac{22}{3},\ 2\pi,\ \sqrt{60},\ 8

2\pi,\ \sqrt{50},\ \frac{22}{3},\ \sqrt{60},\ 8

500

Place these numbers in order from left to right:

-\sqrt{30},\ -2\pi,\ -5,\ -\frac{11}{2}

-2\pi,\ -\frac{11}{2},\ -\sqrt{30},\ -5

500

Select ALL that apply. Which expressions are equivalent to:

\frac{1}{16}

A.\ 2^{-4} 

B.\ 4^{-2} 

C.\ \frac{2^3}{2^7} 

D.\ (2^2)^{-2} 

E.\ 16^0

A, B, C, D