Exploring the Real Number System

What symbol is used to represent the set of all real numbers?

• R

• Q

• N

• Z

Which of the following is an example of an irrational number?

• 1/3

• 4

• 0.75

• pi

What is the square root of a non-perfect square number considered?

• Rational

• Whole number

• Irrational

• Integer

Which of the following is a natural number?

• -3

• 0

• 1.5

• 2

What additional element do whole numbers include that natural numbers do not?

• Negative numbers

• Fractions

• Zero

• Decimals

Which set of numbers includes all natural numbers, whole numbers, and their opposites?

• Rational numbers

• Irrational numbers

• Integers

• Real numbers

Which of the following is a rational number?

• pi

• sqrt(3)

• sqrt(2)

• 0.75

Which of the following is NOT a whole number?

• 5

• -1

• 3

• 0

Which of the following statements is false?

• All whole numbers are real numbers

• All integers are rational numbers

• All real numbers are rational numbers

• All natural numbers are integers

Give an example of a real number that is not rational.

• 2

• pi

• 1/4

• 0.5