Classifying Real Numbers

Which represents a rational number?

• √110
• √324
• √65
• √80

Which statement is NOT true?

• Every rational number is a real number.
• Every counting number is a whole number.
• Every integer is a rational number.
• Every decimal number is an irrational number.

A square has an area of x square units.  x is a whole number between 20 and 24.  What set of numbers best describes the length of the sides of the square?

• Rational numbers
• Counting numbers
• Integers
• Irrational numbers

Which of the following represents a set of irrational numbers?

• 〈√3, √4, √6, √5〉
• 〈1.1, 1.234..., √35, π〉
• 〈11π⁄4, √2⁄4, 1.121314..., √3〉
• Not here

Which of the following sets contain only numbers that are NOT integers?

• 〈6, -5, 1.25〉
• 〈3⁄5, 4.5, 0.̅3〉
• 〈-8, 4, √13, 25〉
• 〈16⁄4, 8, 7, √9〉

Which statement is not true?

• 0.121212...is a rational number.

• 0.34353637 is an irrational number

• 8.14 is a rational number

• 5.12345.... is an irrational number

Which of the following is NOT a subset of the rational numbers?

• Integers

• Whole numbers

• Perfect square integers

• Irrational numbers

Margaret was asked to write 4 irrational numbers. Her list included the following numbers:

1.212223... √30 3π √2⁄2

Which of the numbers Margaret wrote are irrational numbers?

• None of them

• All of them

• 1.212223... and √30 only

• √30, 3π, and √2⁄2

Which Venn diagram correctly represents the relationship between rational numbers and irrational numbers.

• A

• B

• C

• D

• A

• B

• C

• D