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Adding with Negative Numbers
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Multiply by the Reciprocal
Relating Equations and Graphs for Quadratic Functions
Multiplying a Polynomial by a Monomial
Calculating Percentages
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Negative Rational Exponents
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Intercepts Given Ordered Pairs and Lines
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The Addition Method
Finding the Equation of an Inverse Function
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Exponents and Their Properties
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Standard Form for the Equation of a Line
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Elimination Using Addition and Subtraction
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Multiplication Property of Equality
Solving Proportions Using Cross Multiplication
Product and Quotient of Functions
Adding
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Operating with Complex Numbers
Equivalent Fractions
Changing Improper Fractions to Mixed Numbers
Multiplying by a Monomial
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Operations with Monomials
Properties of Exponents
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Mixed Numbers and Improper Fractions
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Simplifying Square Roots That Contain Whole Numbers
Dividing a Polynomial by a Monomial
Writing Numbers in Scientific Notation
Solutions to Linear Equations in Two Variables
Solving Linear Inequalities
Multiplying Two Mixed Numbers with the Same Fraction
Special Fractions
Solving a Quadratic Inequality
Parent and Family Graphs
Solving Equations with a Fractional Exponent
Evaluating Trigonometric Functions
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Laws of Exponents
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Solving Quadratic and Polynomial Equations
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Subtraction with Negative Numbers

1. Definition of subtraction: If a and b are any two numbers, then it is true that:

a - b = a + ( -b )

Note: Subtracting a number is the same as adding its opposite.

Ex: Write each of the given subtraction problems as an equivalent addition problem using the definition of subtraction.

a. 14 - 7 = 14 + (-7 )

b. 9 - 4

c. -13 - 5

2. Subtraction with negative numbers:

To subtract two numbers, rewrite the expression as "addition of the opposite", and then apply the addition rules.

Ex: Simplify:

a.

7 - (-5 )    
   = 7 + 5 change subtraction to addition of the opposite
   = 12 apply rule for adding numbers that have the same sign

b.

 

(-8) - (-5 )    
   = (-8) + 5 change subtraction to addition of the opposite
   = -3 apply rule for adding numbers that have the same sign

 

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