Classifying Real Numbers: A Comprehensive Overview

The video tutorial covers the real number system, dividing it into rational and irrational numbers. Rational numbers include fractions and decimals that terminate or repeat, while irrational numbers are non-terminating and non-repeating. The tutorial further explores subsets of rational numbers, such as natural, whole, and integer numbers, providing examples and classification exercises to reinforce understanding.

What are the two main categories of the real number system?

• Natural and Whole Numbers

• Rational and Irrational Numbers

• Integers and Fractions

• Positive and Negative Numbers

Which of the following is a rational number?

• Square root of 2

• 3 times the square root of 5

• 2/3

• Pi

A rational number in decimal form can be:

• Non-terminating and non-repeating

• Terminating or repeating

• Only terminating

• Only repeating

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

• 1.333...

• 5/1

• 0

• Square root of 5

What is a characteristic of an irrational number in decimal form?

• Non-terminating and non-repeating

• Repeating

• Can be written as a fraction

• Terminating

Which of the following is a natural number?

• 0

• 2.5

• Negative 1

• 1

Whole numbers include:

• Only positive integers

• Positive integers and zero

• Positive and negative integers

• Only negative integers

Which of the following is an integer but not a whole number?

• Negative 3

• 2.3

• 5

• 0

What subsets of real numbers does the number 100 belong to?

• Rational, Irrational, Integer, Whole

• Rational, Integer, Whole, Negative

• Rational, Integer, Whole, Natural

• Irrational, Integer, Whole, Natural

Which of the following numbers is both a rational number and an integer?

• Square root of 2

• 1.333...

• Negative 1000

• 2/3