Rational Irrational Numbers

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.

Read the question carefully:

• 6.24

• 7.68

• 8.31

• 9.43

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

• irrational

• prime

• rational

• imaginary

Which decimal appears to be a rational number?

• 2.14285714285714...

• 3.14159265358979...

• 4.79583152331272...

• 5.56776436283002...

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.

• Irrational; The sum of a rational and an irrational is always irrational.

• Rational; The product of two rationals is always rational.

• Irrational; The product of a nonzero rational and an irrational is always irrational.

• A

• B

• C

• D

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.

• Irrational; The sum of a rational and an irrational is always irrational.

• Rational; The product of two rationals is always rational.

According to the Real Number Chart, CAN "Irrational Numbers be "Rational Numbers"?

• No, because they are completely separate boxes.

• Yes, because they are all Real Numbers.

A rational number can be written as terminating or repeating decimals.

• true

• false

True or False: The set of irrational numbers is a subset of rational numbers.

• True

• False