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MTH 11203 Algebra. Multiplication and division of Real Numbers CHAPTER 1 Section 8. Multiply Numbers. The Sign of the Product of Two Real Numbers Rule 1: The product of two numbers with like signs is a positive number (-) · (-) = + (+) · (+) = +

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mth 11203 algebra

MTH 11203Algebra

Multiplication and division of Real Numbers

CHAPTER 1 Section 8

multiply numbers
Multiply Numbers
  • The Sign of the Product of Two Real Numbers
    • Rule 1: The product of two numbers with like signs is a positive number

(-) · (-) = +

(+) · (+) = +

    • Rule 2: The product of two numbers with unlike signs is a negative number

(+) · (-) = -

(-) · (+) = -

  • Multiplication and division of decimals are covered in appendix A.
multiply numbers1
Multiply Numbers
  • Example # 18: -4(2) = -8 neg. because different signs
  • Example # 20: 6(-2) = -12 neg. because different signs
  • Example # 21: (-8)(-10) = 80 pos. because same signs
  • Example: (6)(-9) = -54 neg. because different signs
multiply numbers2
Multiply Numbers
  • Example: (-8)(-4) = 32 pos. because same signs
  • Example: (0)(-8) = 0 0 is never pos. or neg.
  • Example: (-4)(-6) = 24 pos. because same signs
  • Careful not to confuse subtraction with multiplication

Example -4 – 5 (-4)(-5)

-4 + (-5) 20

-9

multiply numbers3
Multiply Numbers
  • Example
  • Example
  • Remember that negatives can be written different ways
multiply numbers4
Multiply Numbers
  • Multiplication of more that one number in a given problem:
  • Helpful hint:
    • Even number of negatives will equal a positive result
    • Odd number of negatives will equal a negative result
  • Example # 90 pg 67:

4(-2)(-1)(-5) Odd negatives equals negative results

(-8)(-1)(-5)

(8)(-5)

-40

multiply numbers5
Multiply Numbers
  • Example :

(-3)(2)(-1)(-2)(-4) Even negatives equals (-6)(-1)(-2)(-4) positive results

(6)(-2)(-4)

(-12)(-4)

48

  • Example :

(-3)(4)(-9)(-3) Odd negatives equals (-12)(-9)(-3) Negative results

(108)(-3)

-324

multiply numbers6
Multiply Numbers
  • Example :

(-2)(4)(-1)(-3)(-5) Even negatives equals (-8)(-1)(-3)(-5) positive results

(8)(-3)(-5)

(-24)(-5)

120

divide numbers
Divide Numbers
  • The Sign of the Quotient of Two Real Numbers
    • Rule 1: The Quotient of two numbers with like signs is a positive number

(-) ÷ (-) = +

(+) ÷ (+) = +

    • Rule 2: The Quotient of two numbers with unlike signs is a negative number

(+) ÷ (-) = -

(-) ÷ (+) = -

divide numbers1
Divide Numbers
  • Example # 52 pg 66: Example # 50 pg 66:

25 ÷ 5 or

  • Example # 54 pg 66: Example # 53 pg 66:
divide numbers2
Divide Numbers
  • Example # 50 pg 66:

-12.37 ÷ 3.2 or

divide numbers3
Divide Numbers
  • Example: Example :
  • Example:
divide numbers4
Divide Numbers
  • Example # 80 pg 66:
  • Remember:
  • We should write all fractions with the negative in front , this will be the class standard
divide numbers5
Divide Numbers
  • Example:
  • Example:
summary of operation of real numbers
Summary of Operation of Real Numbers
  • Page 64 Summarizes of Operation of Real Numbers
    • Addition
    • Subtraction
    • Multiplication
    • Division
  • This is a good chart to use as a study guide for a test.
evaluate divisions involving 0
Evaluate Divisions Involving 0
  • Zero Divided by a Nonzero Number
    • If a represents any real number except 0, then
  • Examples:
evaluate divisions involving 01
Evaluate Divisions Involving 0
  • Division by Zero
    • If a represents any real number except 0, then
  • Examples:
homework 1 8
HOMEWORK 1.8
  • Page 66 - 67

17, 19, 26, 29, 33, 35, 43, 45, 51, 62, 63, 67, 95

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