Irrational Numbers

The video tutorial explains the classification of numbers into whole numbers, integers, rational numbers, and irrational numbers. It highlights that whole numbers and integers are subsets of rational numbers, which can be expressed as fractions. The video introduces pi as an example of an irrational number, which cannot be expressed as a fraction and has a non-repeating, non-terminating decimal. The lesson concludes with a focus on irrational numbers and hints at further exploration in future lessons.

Which of the following is an example of a whole number?

• -3

• 0

• 1.5

• pi

What is a characteristic of rational numbers?

• They can be expressed as fractions using integers.

• They are always negative.

• They have non-repeating decimals.

• They cannot be expressed as fractions.

Which of the following numbers is not a rational number?

• pi

• 0.75

• 3.14

• 1/2

What makes pi an irrational number?

• It can be expressed as a fraction.

• Its decimal part is non-repeating and non-terminating.

• Its decimal part repeats.

• Its decimal part terminates.

Which of the following statements is true about irrational numbers?

• They have a non-repeating, non-terminating decimal.

• They have a repeating decimal pattern.

• They can be expressed as a fraction.

• They are always whole numbers.