Understanding Rational, Irrational, and Real Numbers

Which of the following is a characteristic of a rational number?

• It cannot be expressed as a fraction.

• It has a non-repeating decimal expansion.

• It can be precisely located on a number line.

• It is always a whole number.

What makes a number irrational?

• It can be expressed as a fraction.

• It has a repeating decimal pattern.

• It has a decimal expansion with no repeating digits.

• It is a whole number.

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

• 1/2

• 0.333...

• 4

• Square root of 2

What is the most famous irrational number that is often used in mathematics?

• Pi

• Golden ratio

• Square root of 16

• Euler's number

Which statement is true about real numbers?

• They include only rational numbers.

• They include only whole numbers.

• They include both rational and irrational numbers.

• They include only irrational numbers.