Classification of Numbers and Properties

This video tutorial covers the classification of real numbers into rational and irrational numbers. It explains how rational numbers include natural numbers, whole numbers, and integers, while irrational numbers cannot be expressed as fractions or repeating decimals. The tutorial uses a Venn diagram to illustrate the relationships between these sets and provides examples of perfect and non-perfect squares. Practical applications and examples are given to help understand the classification of numbers. The lesson concludes with a preview of the next topics on sets and subsets of real numbers.

Which of the following is a subset of rational numbers?

• Imaginary numbers

• Complex numbers

• Whole numbers

• Irrational numbers

What is a characteristic of irrational numbers?

• They can be expressed as a fraction

• They cannot be expressed as a fraction

• They are always negative

• They have a repeating decimal

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

• Square root of 2

• Square root of 3

• Pi

• 1/2

What is the square root of 49 classified as?

• Imaginary number

• Complex number

• Rational number

• Irrational number

Which of the following numbers is not a perfect square?

• Square root of 23

• Square root of 49

• Square root of 25

• Square root of 36

What type of number is -13.29?

• Natural number

• Irrational number

• Rational number

• Integer

If a square has an area of 49 cm², what is the length of one side?

• 6 cm

• 9 cm

• 7 cm

• 8 cm

What is the classification of the number 2 and 5/8?

• Irrational number

• Rational number

• Complex number

• Imaginary number

Which of the following is a real number?

• Square root of -1

• Pi

• i (imaginary unit)

• 2i

What is the next topic after understanding sets and subsets of real numbers?

• Not specified

• Complex numbers

• Imaginary numbers

• Advanced algebra