Classifying real numbers

The video tutorial explains how to classify numbers within the real number system. It begins by identifying real numbers and differentiating between rational and irrational numbers, using examples like π and sqrt 8. The tutorial then explores integers, whole numbers, and natural numbers, highlighting their characteristics. Finally, it classifies the expression -45/3, demonstrating that it is a rational integer, and explains why it does not fit into the categories of whole or natural numbers.

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

• 2/3

• 1/2

• π

• 4

What is a key characteristic of rational numbers?

• They can be written as fractions.

• They are always whole numbers.

• They cannot be negative.

• They are imaginary numbers.

Which of the following is NOT an integer?

• 0

• 1.5

• 3

• -2

What distinguishes whole numbers from natural numbers?

• Natural numbers include fractions.

• Natural numbers include zero.

• Whole numbers include negative numbers.

• Whole numbers include zero.

How is the number -45/3 classified in the real number system?

• Irrational number

• Rational number and integer

• Whole number

• Natural number