Exploring the Real Number System

The video tutorial explains the real number system, which consists of natural, whole, integer, rational, and irrational numbers. It describes each category with examples, showing how numbers fit into these groups. Natural numbers are counting numbers, whole numbers include zero, integers are whole numbers and their opposites, rational numbers can be expressed as fractions, and irrational numbers cannot be written as fractions. The tutorial also provides examples to categorize numbers and emphasizes the importance of simplification.

Which of the following is NOT a part of the real number system?

• Rational

• Natural

• Whole

• Imaginary

Which number is included in the whole numbers but not in the natural numbers?

• 3

• 0

• 2

• 1

Which of the following is an integer?

• pi

• -3

• 0.5

• 2/3

Which of the following can be written as a fraction?

• 0.5

• pi

• sqrt(2)

• 1.234567...

Which of the following is a terminating decimal?

• 0.5

• 0.333...

• sqrt(2)

• pi

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

• 1/2

• 0.75

• pi

• 3

Which category does the number 1.8 fall into?

• Rational

• Integer

• Whole

• Natural

Which categories does the number 14 belong to?

• Natural, Whole, Integer, Rational

• Whole, Integer, Rational

• Integer, Rational

• Rational

Which category does the number 0.1234... (non-repeating) fall into?

• Natural

• Whole

• Rational

• Irrational

Which category does the fraction 2/3 fall into?

• Natural

• Whole

• Integer

• Rational