Exploring Rational and Irrational Concepts

Which of the following is a rational number?

• 5.2

• √2

• √20

• π

What is a characteristic of an irrational number?

• Its decimal representation terminates

• Its decimal representation neither terminates nor repeats

• Its decimal representation repeats

• It can be written as a fraction

Why is the number π considered irrational?

• Its decimal representation terminates

• Its decimal representation neither terminates nor repeats

• It can be written as a fraction

• It is a perfect square

Which of the following numbers is rational?

• √30

• √20

• π

• 0.6

What makes the number 7/8 a rational number?

• It is a terminating decimal

• It is a repeating decimal

• It is a fraction

• It is a perfect square

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

• 5/9

• √25

• 8.224

• √30

If a number's decimal representation repeats, what type of number is it?

• Whole number

• Irrational

• Rational

• Integer

What is the classification of the number 0.33 repeating?

• Integer

• Irrational

• Rational

• Whole number

Why is the square root of 20 considered irrational?

• It is not a perfect square

• Its decimal representation terminates

• It is a perfect square

• It can be written as a fraction

Which of the following is a rational number?

• √30

• √6 + 30

• √6 + √30

• √36