Understanding Irrational Numbers

What is a characteristic of a non-terminating decimal?

• It is always a whole number.

• It never ends.

• It repeats a pattern.

• It ends after a few digits.

Which of the following is an example of a non-recurring decimal?

• 1.41423562...

• 2.5

• 0.121212...

• 0.333...

Why is the square root of 2 considered an irrational number?

• It is a perfect square.

• It can be expressed as a fraction.

• Its decimal representation is non-terminating and non-recurring.

• It is a whole number.

Which of the following numbers is NOT an irrational number?

• √3

• √9

• √2

• π

What distinguishes the square root of a perfect square from other square roots?

• It cannot be expressed as a fraction.

• It is a rational number.

• It is always non-terminating.

• It is always irrational.