Understanding Rational and Irrational Numbers

What is the main difference between rational and irrational numbers?

• Rational numbers are always whole numbers, while irrational numbers are decimals.

• Rational numbers are imaginary, while irrational numbers are real.

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

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

Which of the following is a rational number?

• Pi (π)

• Square root of 2

• 0.5

• e (Euler's number)

Why is Pi (π) considered an irrational number?

• It is a repeating decimal.

• It is a non-repeating and non-terminating decimal.

• It can be expressed as a simple fraction.

• It is a whole number.

Which of the following numbers is not a rational number?

• 1/4

• Square root of 121

• 11.47

• Square root of 3

What characteristic must a decimal have to be considered irrational?

• It must be a repeating decimal.

• It must terminate after a few digits.

• It must be non-repeating and non-terminating.

• It must be a whole number.