Exploring the Real Number System and Its Properties

This video tutorial covers the classification of real numbers, including natural, whole, integers, rational, and irrational numbers. It explains the properties of real numbers such as commutative, associative, identity, inverse, and distributive properties. The video also includes practice problems to help students apply these concepts.

Which symbol represents the set of real numbers?

• N

• Q

• R

• Z

What is the smallest subset of real numbers?

• Integers

• Rational numbers

• Natural numbers

• Whole numbers

Which of the following is NOT a whole number?

• 0

• 1

• 2

• -1

Which of the following is an example of a rational number?

• 0.34

• √2

• e

• π

Which of the following is an irrational number?

• 0.2 (repeating)

• √3

• 0.75

• 1/2

In the graphic organizer, which set of numbers is NOT related to natural, whole, integers, or rational numbers?

• Integers

• Whole numbers

• Natural numbers

• Irrational numbers

What property states that a + b is the same as b + a?

• Identity Property

• Commutative Property

• Distributive Property

• Associative Property

Which property is demonstrated by the equation a * (b + c) = a * b + a * c?

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

What is the additive inverse of -8?

• -1/8

• 1/8

• -8

• 8

What is the multiplicative inverse of -8?

• 8

• -8

• 1/8

• -1/8