Rational/Irrational
Conversion
Approximate
Between 2
solve for x
100

Is 4/9 rational or irrational? Explain.

Rational, it is a fraction.

100

What is 0.333... as a fraction?

1/3

100

Approximate the √10 to the nearest integer.

3

100

What 2 whole numbers does the square root of 98 lie between?

9 and 10

100

x2=169

x= +13 and -13

200

Is 31.7878... rational or irrational? Explain.

Rational, it is a repeating decimal

200

Write 2/9 as a decimal.

.2 repeating

200

Approximate the √18 to the nearest integer.

4

200

What 2 whole numbers does the square room of 47 lie between?

6 and 7

200

x3=-64

-4

300

Do irrational numbers terminate? Explain.

No, irrational numbers are non-terminating, non-repeating.

300

What is 8.0404... as a fraction?

8 4/99 

300

Approximate the -√34 to the nearest integer.

-6

300

What 2 whole numbers does the square room of 92 lie between?

9 and 10

300

x3=-125

x=-5

400

Is 44.534593... rational or irrational? Explain.

Irrational, decimal does not terminate and does not repeat.

400

Write 5/33 as a decimal.

.15 repeating

400

Approximate the cube root of 125 to the nearest integer.

5
400

What 2 whole numbers does the cube root of 215 lie between?

5 and 6

400

A square has an area of 16 in2.  What is the side length of the square.  

A=s2

s=4

500

Is pi rational? Explain.

No, pi does not terminate and does not repeat..

500

What is 4.0303... written as a fraction?

4 1/33

500

Approximate the cube root of -120 to the nearest integer.

-5

500

What 2 whole numbers does the cube root of 645 lie between?

8 and 9

500

A cube has volume of 64 cubed inches, what is the side length of the cube.  

s3=V

s=4