Rational
or
Irrational?
Exponents
Special
100

What is the definition of an irrational number?

There is no terminating decimal, it goes on forever

100

What is   frac (3^2) (3^4) fully simplified? 

frac 1 9

100

Which is larger?

  sqrt 12 or 1.52 

Why?

Because it is in between 3 and 4

sqrt 12

200

Which of the following is RATIONAL. Place values on your number line to find.

a.sqrt 8

b. sqrt 64

c. sqrt 5

d. sqrt 77

sqrt 8 is between 2 and 3

sqrt 64 is 8

sqrt 5 is between 2 and 3

sqrt of 77 is between 8 and 9

200

Which of the following equals 59?

a. (54)5

b. (53)3

c.  frac (5^-1) (5^8) 

d. 54.5x52

b.

200

Which is smaller? 

 sqrt 2 or  frac 5 4 


5/4 = 1.25 

sqrt 2 = 1.414..

300

Which of the following are irrational? Place on your number line to figure out, give a reasoning on why or why not.

a. sqrt 74 

b. 3.1415926.....

c. 3.33333333333....

d. frac 56 97

e. 56,239.563

a. 

sqrt 74 is irrational because it does not terminate. It is between 8 and 9 on the number line

3.1415926... is irrational because it does not terminate

3.33333... is rational because it is a continuous pattern going on

frac 56 97 is irrational because it goes on and there is no terminating decimal or pattern

56,239.563 is rational because it terminates.


300

What is  frac (2^-2) (2^-4) fully simplified?

a. 2-6

b. 0

c. 4

d. 22

c. 4

300

Which is larger? Why?

 sqrt 81 or  frac 9207 1023 

They are the same:)

400

What are all the irrational numbers between 

sqrt 36 and sqrt 49

sqrt 37 sqrt 38 sqrt 39 sqrt 40 

sqrt 41 sqrt 42 sqrt 43 sqrt 44 

sqrt 45 sqrt 46 sqrt 47 sqrt 48 

400

What is a0  + 1 =

a. 1

b. a+1

c. 0

d. 2

d. 2

400

Which is smaller?

12 or  sqrt 169 

12

500

Plot and place the following irrational numbers on your number line.

sqrt 94 , 5.5,

 frac 12 5 , sqrt 81 

Answers may vary

500

What would you do first to solve this expression?

 (1/2a^2)(2a^-1) 

a. Parenthesis

b. Multiply exponents

c. Add coefficients

d. Multiply coefficients

d. Multiply Coefficients

500

What is the biggest number in this selection?

 sqrt 225 

frac 182 7

5.52

27 

5.52 = 30.25

M
e
n
u