Irrational vs. Rational Numbers

Which of the following is an irrational number?

• 0.333

What type of number is a non-repeating, non-terminating decimal?

• irrational

• prime

• rational

• imaginary

• 7.5

• 27.5

• 5.5

• 11.0

• natural number

• whole number

• integer

• rational number

• imaginary number

• Both numbers can be categorized as rational.

• Both numbers can be written as decimal numbers that neither terminate nor repeat.

• Both numbers can be written as fractions with integer numerators and denominators.

• Both numbers can be categorized as natural numbers because they are positive.

Which decimal appears to be a rational number?

• 2.14285714285714...

• 3.14159265358979...

• 4.79583152331272...

• 5.56776436283002...

The value of π cannot be written as the ratio of two integers. Which statement is true?

• π is a rational number.

• π is an irrational number.

• The decimal expansion of π terminates.

• The decimal expansion of π repeats.

• point A

• point B

• point C

• point D

• 4 and 5

• 5 and 6

• 10 and 11

• 3 and 4

• Point P

• Point Q

• Point R

• Point S