Rational and Irrational Numbers Quiz

What is the definition of rational numbers?

• Numbers that cannot be expressed as a fraction

• Numbers that can be expressed as a fraction of two integers

• Numbers that are only whole numbers

• Numbers that are not part of the real number system

Provide an example of a rational number.

• √2

• π

• e

• 1/2

What is the definition of irrational numbers?

• Complex numbers with imaginary parts

• Whole numbers that can be expressed as a fraction

• Numbers with repeating decimal expansions

• Real numbers that cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimal expansions

Give an example of an irrational number.

• √2 (square root of 2)

• -4

• 100

• 0.5

Is the square root of 17 a rational or irrational number?

• Integer

• Irrational

• Rational

• Whole number

Convert the rational number 3/4 to an irrational number.

• 5/6

• 2.5

• Not possible

• √2

Convert the irrational number √5 to a rational number.

• √5 can be rationalized to 2.236

• √5 can be rationalized to (√5)(√5) / (√5)(√5) = 5 / 5 = 1

• √5 can be rationalized to 5/2

• √5 can be rationalized to 0.5

What is the difference between rational and irrational numbers?

• Rational numbers have repeating decimal representations, while irrational numbers have non-repeating decimal representations.

• Rational numbers can be expressed as a fraction, while irrational numbers cannot be expressed as a fraction.

• Rational numbers are always integers, while irrational numbers are always fractions.

• Rational numbers are always positive, while irrational numbers are always negative.

Explain how to determine if a number is rational or irrational.

• By determining if the number can be expressed as a fraction of two integers.

• By determining if the number is divisible by 3

• By asking a magic eight ball for the answer

• By flipping a coin and seeing if it lands on heads or tails

Provide an example of a number that is both rational and irrational.

• 3.14

• 2/3

• 0

• not possible