Exploring the Real Number System

The video tutorial covers the properties of numbers within the real number system. It begins with an overview of the number system, explaining natural and whole numbers, including the role of zero. The tutorial then defines integers and their opposites, followed by an introduction to rational numbers, including fractions. It also discusses irrational numbers, highlighting their non-repeating, non-terminating nature. The video recaps the real number system, emphasizing the categorization of numbers and providing examples. Finally, it offers guidance on practice and mastery tests to reinforce learning.

Which of the following is a natural number?

• 1.5

• 1

• 0

• -1

What makes whole numbers different from natural numbers?

• They include negative numbers

• They include fractions

• They include zero

• They include decimals

Which of the following is an integer?

• 1/2

• 0.5

• -3

• √2

What is the opposite of -5?

• 5

• 10

• -5

• 0

Which of the following is a rational number?

• 1/3

• e

• π

• √2

What is the decimal representation of 1/11?

• 0.1

• 0.11

• 0.090909...

• 0.09

Which of the following is an irrational number?

• 0.75

• √2

• 3.14

• 1/2

What is a characteristic of irrational numbers?

• They can be written as fractions

• They never end or repeat

• They have repeating decimals

• They are always negative

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

• √3

• 0

• 0.5

• -2

What type of number is 2.823 with a repeating bar over 823?

• Irrational number

• Whole number

• Rational number

• Natural number