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Pythagoras' Theorem 1
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Adding Fractions
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Multiplication by 50
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Simple Trinomials as Products of Binomials
Writing Linear Equations in Slope-Intercept Form
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Properties of Exponents
Scientific Notation
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Adding and Subtracting Rational Expressions With Unlike Denominators
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Decimals to Fractions
Solving Quadratic Equations by Completing the Square
Quotient Rule for Exponents
Simplifying Square Roots
Multiplying and Dividing Rational Expressions
Independent, Inconsistent, and Dependent Systems of Equations
Slopes
Graphing Lines in the Coordinate Plane
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Zero Power Property of Exponents
The Vertex of a Parabola
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Test for Factorability for Quadratic Trinomials
Trinomial Squares
Solving Two-Step Equations
Solving Linear Equations Containing Fractions
Multiplying by 125
Exponent Properties
Multiplying Fractions
Adding and Subtracting Rational Expressions With the Same Denominator
Quadratic Expressions - Completing Squares
Adding and Subtracting Mixed Numbers with Different Denominators
Solving a Formula for a Given Variable
Factoring Trinomials
Multiplying and Dividing Fractions
Multiplying and Dividing Complex Numbers in Polar Form
Power Equations and their Graphs
Solving Linear Systems of Equations by Substitution
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Laws of Exponents
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Systems of Linear Equations
Properties of Rational Exponents
Power of a Product and Power of a Quotient
Factoring Differences of Perfect Squares
Dividing Fractions
Factoring a Polynomial by Finding the GCF
Graphing Linear Equations
Steps in Factoring
Multiplication Property of Exponents
Solving Systems of Linear Equations in Three Variables
Solving Exponential Equations
Finding the GCF of a Set of Monomials
 
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Multiplying and Dividing Signed Numbers

Now, let’s review multiplication and division of signed numbers.

To multiply or divide two signed numbers, follow these steps:

Step 1 Ignore the signs and do the multiplication or division.

Step 2 Attach a sign to the product as follows:

• If the original numbers have the same sign, attach a positive sign. 2 · 3 = 6

-2 · (-3) = 6

• If the original numbers have different signs, attach a negative sign. -2 · 3 = -6

2 · (-3) = -6

 

Example 1

Find the products:

a. -5 · 3

b. -6(-7)

c. 8 × (-4)

d. 0 · (-2)

Solution

a. -5 · 3 = -15

b. -6(-7) = 42

c. 8 × (-4) = -32

d. 0 · (-2) = 0

The signs are different so the product is negative.

The signs are the same so the product is positive.

The signs are different so the product is negative.

Zero has no sign (it is neither negative nor positive).

 

Example 2

Find the quotients:

Solution

a. -18 ÷ 3 = -6

b. -8 ÷ (-4) = 2

c.

d.

e. is undefined.

The signs are different so the quotient is negative.

The signs are the same so the quotient is positive.

The signs are different so the quotient is negative.

Zero has no sign (it is neither positive nor negative).

Division by 0 is not allowed.

 

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