Multiplying and Dividing Real Numbers Objective: To multiply and divide real numbers.

Essential Understanding The rules for multiplying real numbers are related to the properties of real numbers and the definitions of operations.

Essential Understanding The rules for multiplying real numbers are related to the properties of real numbers and the definitions of operations. The product of two positive numbers is positive. The product of two negative numbers is positive. The product of a positive and a negative is negative.

Problem 1 Find each product. 12(-8) = (0.5) = 12

Problem 2 Simplify each square root.

Problem 4 Divide the following fractions.

Class Work Page even

Homework Page odd

The Distributive Property Let a, b, and c be real numbers. a(b+c) = ab + ac (b+c)a = ba + ca a(b – c) = ab – ac (b – c )a = ba - ca

Problem 1 3(x + 8) = 3x + 24 (5b – 4)(-7) = -35b + 28

Got it? a)5(x + 7) b) c)

Got it? a)5(x + 7) = 5x + 35 b) c)

Got it? a)5(x + 7) = 5x + 35 b) c)

Got it? a)5(x + 7) = 5x + 35 b) c)

Problem 2 What sum or difference does this represent?

Problem 2 What sum or difference does this represent?

Got it? What sum or difference does each expression represent?

Got it? What sum or difference does each expression represent?

Got it? What sum or difference does each expression represent?

Got it? What sum or difference does each expression represent?

Problem 3 What is the simplified form of ?

Problem 3 What is the simplified form of ? Distribute the negative to both terms.

Got it? What is the simplified form of each expression?

Got it? What is the simplified form of each expression?

Like Terms You can simplify an algebraic expression by combining the parts of the expression that are alike.

Like Terms You can simplify an algebraic expression by combining the parts of the expression that are alike. Term- A number, variable, or the product of a number and one or more variables.

Like Terms You can simplify an algebraic expression by combining the parts of the expression that are alike. Term- A number, variable, or the product of a number and one or more variables. Constant- A term that has no variable.

Like Terms You can simplify an algebraic expression by combining the parts of the expression that are alike. Term- A number, variable, or the product of a number and one or more variables. Constant- A term that has no variable. Coefficient- A numerical factor of a term.

Like Terms You can simplify an algebraic expression by combining the parts of the expression that are alike. Term- A number, variable, or the product of a number and one or more variables. Constant- A term that has no variable. Coefficient- A numerical factor of a term. Like terms have the same variable factors.

Problem 5 Combine like terms.

Problem 5 Combine like terms.

Problem 5 Combine like terms.

Got it? Simplify by combining like terms.

Got it? Simplify by combining like terms.

Homework Page odd