Understanding the Real Number System

The video tutorial covers the classification of numbers within the real number system. It explains the differences between irrational and rational numbers, including examples like pi and fractions. The tutorial further breaks down rational numbers into integers, whole numbers, and natural numbers, providing a clear understanding of each category. Through practice exercises, viewers learn to classify numbers into these sets and organize them using a Venn diagram. The video also addresses identifying numbers that do not fit into certain categories, enhancing comprehension of the real number system.

What symbol is used to represent the set of all real numbers?

• R

• I

• Q

• Z

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

• 1/3

• 0.67

• pi

• 4

What letter is used to denote rational numbers?

• R

• N

• I

• Q

Which of the following is a rational number?

• 0.33333 repeating

• pi

• Square root of 2

• Square root of 17

What is the classification of the number 30?

• Natural

• Irrational

• Rational

• Whole

Which set does the number zero belong to?

• None of these

• Natural numbers

• Whole numbers

• Irrational numbers

Where would you place the number 7 in a Venn diagram of the real number system?

• Natural

• Whole

• Rational

• Irrational

Which expression does not name an integer?

• 6/14

• 12/6

• 0

• -15

Which number is not a whole number?

• 6

• -10

• 0

• 8

Give an example of a real number that is not rational.

• 0.5

• 1/2

• Square root of 17

• Square root of 16