Classifying Real Numbers: A Comprehensive Overview

This video tutorial covers the classification of real numbers into rational and irrational numbers. It explains the subsets of rational numbers, including natural numbers, whole numbers, and integers. The tutorial uses a Venn diagram to illustrate the relationship between rational and irrational numbers, highlighting examples like pi and square roots. It also discusses perfect squares and provides practical examples to help classify numbers. The lesson concludes with a summary and a preview of the next topic on sets and subsets of real numbers.

Which of the following is a subset of real numbers?

• Imaginary numbers

• Complex numbers

• Prime numbers

• Rational numbers

What type of numbers include counting numbers like 1, 2, 3?

• Natural numbers

• Integers

• Irrational numbers

• Whole numbers

Which of the following is NOT a characteristic of rational numbers?

• Cannot be written as a repeating decimal

• Includes whole numbers

• Includes natural numbers

• Can be written as a fraction

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

• 4

• 1/2

• 0.75

• Square root of 2

What is the square root of 25?

• 7

• 6

• 5

• 4

Which of the following numbers is a perfect square?

• Square root of 36

• Square root of 14

• Square root of 37

• Square root of 23

What type of number is -13.29?

• Natural number

• Irrational number

• Integer

• Rational number

What is the quotient of the square root of 49 and 7?

• 49

• 7

• 1

• 0

What type of number is -1/2?

• Integer

• Irrational number

• Rational number

• Natural number

If a square has an area of 49 square centimeters, what is the length of one side?

• 8 cm

• 7 cm

• 9 cm

• 6 cm