Properties of Real Numbers

Properties of Real Numbers

Learning Objective-I can identify and use properties of real numbers.

Vocabulary-

• Equivalent Expressions

• Deductive Reasoning

• counterexample

Equivalent Expressions-

Two algebraic expressions that have the same value for all values of the variable(s).

Deductive Reasoning-

The process of reasoning logically from given facts to a conclusion.

Counterexample-

An example showing that a statement is false.

Properties

• Commutative Properties of Addition and Multiplication

• Associative Properties of Addition and Multiplication

• Identity Properties of Addition and Multiplication

• Zero Property of Multiplication

• Multiplication Property of -1

Go to Blackboard to watch Properties of Real Numbers Instruction

LESSON CHECK

Multiple Choice

Identify the property

(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

• commutative property of multiplication

• identity property of multiplication

• inverse property of multiplication

• associative property of multiplication

Multiple Choice

Identify the property
a + b = b + a

• Identity of addtion
• commutative of addition
• associative of addition
• symmetric