Rational OR Irrational
Fraction <-> Decimal
Square and Cube Roots
Estimating roots
True or False
100

Is  the

sqrt(49)

a rational number? 

Yes

100

What is 0.8 as a fraction?

8/10

100

\sqrt64

8
100

What 2 whole numbers does the square root of 11 lie between?

3 and 4

100

All square roots are irrational.

False

(\sqrt(16)=4)

200

Is 4/7 rational or irrational? Explain.

Rational, it is a fraction.

200

Write 21/99 as a decimal.

0.21212121....

200

What is the SIDE of a square with area = 49

Show your work!!!!!

7

200

What 2 whole numbers does the 

root(3)(600)

lie between?

8 and 9

200

Terminating decimals are rational

True

300

Is   pi   rational?

No, there is no repeating pattern

300

Write 0.55555... as a fraction

5/9

300

root(3)(27)

Show your work!!!!!!!!!!

3

300

What 2 whole numbers does the 

root(3)(222)

lie between?

6 and 7

300

Integers are irrational numbers

False

400

List 5 rational numbers.

Teacher checks answers

400

What is 0.176176176.... as a fraction?

176/999

400

What is the VOLUME of a cube with side = 3

Show your work!!!!!!!

27

400

Approximate the value of 

sqrt(92)



Possible Answers:

9.4, 9.5, or 9.6

400

The square root of a number is what number times itself makes the number inside of the radical symbol. 

True

500

List 3 irrational numbers:

Teacher checks answers

500

Write 0.0505050505... as a fraction.

5/99

500

Show your work:

root(3)(-343)

-7

500

Approximate the value of 

sqrt166

Possible Answers:

12.7, 12.8 or 12.9

500

The 

root(3)(100)

is equal to 10



False, most are irrational