Exploring the Real Number System

This video tutorial covers the classification of numbers into different systems, focusing on the real number system, which includes both rational and irrational numbers. It explains natural numbers, whole numbers, integers, rational numbers, and irrational numbers, providing definitions, examples, and symbols for each. The tutorial also includes a practice section to help students identify which set a given number belongs to.

What is the symbol used to represent real numbers?

• R

• N

• Z

• W

Which of the following is a natural number?

• -1

• 0

• 1

• -2

Whole numbers include which of the following?

• Only zero

• Only positive numbers

• Positive numbers and zero

• Negative numbers

What is the symbol used to represent integers?

• R

• W

• Z

• N

Which of the following is a rational number?

• √2

• π

• 0.666...

• √67

What is the symbol used to represent rational numbers?

• Q

• R

• I

• N

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

• 2/3

• 0.12 repeating

• π

• 0.234

What is the symbol used to represent irrational numbers?

• Q

• R

• N

• I

Which set does the number 19 belong to?

• Integer, Rational

• Whole, Integer, Rational

• Natural, Whole, Integer, Rational

• Rational only

Which set does the number 0 belong to?

• Integer, Rational

• Rational only

• Whole, Integer, Rational

• Natural, Whole, Integer, Rational