You're Being Irrational
Reading Between the (Number) Lines
It's All Rational
Conversion Time
100

Which of the following are irrational? Select all that apply:

a. 2.3454850...

b. 2/3

c. 5.9

d. 4π

e. 20


a. 2.3454850...

d. 4π

100

Between which two consecutive whole numbers does 2π lie on a number line?

Between 6 and 7

100

Which one of the following is a rational number?

a. π/8

b. 0.8888...

c. √2

d. √3

b. 0.8888...

100

Mrs. Singletary noticed that 17 or her 33 students brought their lunch to school on Tuesday. What is the decimal expansion for the fraction 17/33?

a. 0.51555...

b. 0.5111...

c. 0.515151...

d. 0.51

c. 0.515151...

200

Which number is considered to be an irrational number?

a. 0.91666...

b. 0.25

c. 3.6055512...

d. 3.5


c. 3.6055512...

200

Between which two consecutive whole numbers does √35 lie on a number line?

Between 5 and 6

200

Which number is considered to be a rational number?

a. √20

b. √25

c. √34

d. √48

b. √25

200

Which number is equivalent to the repeating decimal 0.1666...

a. 1/16

b. 16/100

c. 1/6

d. 6/10

c. 1/6

300

Which numbers are irrational? Select all that apply.

a. 73/100

b. 3π

c. √169

d. 3.1419191919...

e. √2

b. 3π

e. √2

300

The value of the irrational number √77 is between which pair of rational numbers?

a. Between 8.74 and 8.75

b. Between 8.75 and 8.76

c. Between 8.76 and 8.77

d. Between 8.77 and 8.78

d. Between 8.77 and 8.78

300

Which TWO of the following numbers are rational?

a. √9

b. π/2

c. √3

d. 0.141414...

e. 5π

a. √9

d. 0.141414...

300

Which decimal is equivalent to 17/44?

0.3863636363...

400

Identify each of the following numbers as R (rational) or I (irrational):

a. √2

b. 17/25

c. 3π

d. 6.1111

e. √50

a. I

b. R

c. I

d. R

e. I

400

Which TWO irrational numbers fall between 18 and 19 on a number line?

a. √350

b. (√5)3

c. (√2)9

d. 6π

e. π/6

a. √350

d. 6π

400

Identify each of the following numbers as R (rational) or I (irrational):

a. √27

b. √6

c. 4π

d. 3.343434...

e. 6/17

a. I

b. I

c. I

d. R

e. R

400

What is 27.4% expressed as a decimal?

27.4 divided by 100 = 0.274