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Word Problems
Just Because
Vocabulary
Evaluate
Rational and Irrational Numbers
100

What is the sum of all integers between 

  √19   and  √77? 


What is 26; 5+6+7+8

100

Which of the following represents a fraction that converts to a repeating decimal with a value less that one?

A) 1/2     B)  4/3        C)  9/10             D)  4/9

D = 0.44444444444444444.......

100

Definition of an irrational number

What is any real number that is not a rational number.  A number that cannot be represented as a simple fraction.  Fractions that are non-terminating or non-repeating. 
100

Estimate √30 to nearest tenth

What is 5.5

100
Is 3.14 or PI rational of irrational?
irrational
200

A cube has a side length of 6 inches. What is the volume of the cube?

What is 216 cubed inches

200
What is 5 to the 5th power?
3125
200

Define integer

The set of numbers consisting of the natural numbers including 0 and their negatives.  

200

The square root of 120 is between what two integers? 

What is 10 and 11
200
Is the square root of 49 rational of irrational?
rational
300

Which of the following is the closest approximation to the following: 3√20

A) 2        B)3        C)4        D) 5

What is 3

300

The CUBE root of 95 is between which two consecutive integers?

4 and 5

4*4*4=64

5*5*5=125

300

What are natural numbers?

Counting numbers, not including 0, so like 1,2,3,4,5,6,7....

300

The area of a square sandbox is 83 square feet.  What is the length of the sandbox?

What is approximately 9.1 ft. 

300
Is the square root of 2 rational or irrational?
irrational
400

Kim finds the length of the side of a cube with a volume of 64 cubic inches. The side measures  3√64 inches. What measurement is the correct value for the length of the side?

What is 4

400

What is the sum of all integers between √5 and √38

18;  3+4+5+6

400

Classify0.1001000100001000001..... as terminating, repeating or irrational

Irrational, it is not repeating nor terminated

400

A square has an area of 144 square miles.  What is the perimeter of the square?

What is 48 miles

400
Which number is irrational? a. 69 b. the square root of 144 c. 2. 38084...
c. 2. 38084...
500

The diagonal of Ralph’s rectangular eraser has an irrational value. Which of the following could be the length of Ralph’s eraser?

 A) √2 inches    B) √36  inches   

  C) √4  inches    D) √49  inches

 

 


What is A

B, C and D are all whole numbers which are rational numbers. 

500

What year did Mrs. Flaig start working at Palmer Middle School?

August 2006

500

Define rational number

What is any number that can be written as a ratio/fraction that terminates or repeats

500

True or False:

All radical expressions are irrational.

(A radical expressions are square roots and cube roots)

False:  Radical expressions are perfect squares, not decimals or fractions. 

500
Is 47897/349734 rational or irrational and why?
It is rational because it can be written as a fraction.