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Multiplying Integers. Lesson 2-4, p. 83. Rules. When multiplying integers with like (the same) signs, the product (answer) will be positive. EX.) negative x negative = positive positive x positive = positive 5 * 3 = ____ (-5) * (-3) = ____

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multiplying integers

Multiplying Integers

Lesson 2-4, p. 83

rules
Rules
  • When multiplying integers with like (the same) signs, the product (answer) will be positive.
  • EX.) negative x negative = positive
  • positive x positive = positive
  • 5 * 3 = ____
  • (-5) * (-3) = ____
  • When multiplying integers with different signs, the product (answer) will be negative.
  • EX.) negative x positive = negative
  • positive x negative = negative
  • (-5) * 3 = ____
  • 5 * (-3) = _____
multiplying with more than two factors
Multiplying with more than two factors
  • When multiplying more than two factors, count the number of negative integers:
  • *If you have an odd number of negative integers, then your product (answer) will also be negative.
  • *If you have an even number of negative integers, then your product (answer) will be negative.
  • TRY THESE:
  • Negative Positive Positive Negative
multiplying with variables
Multiplying with Variables
  • Sometimes you will be asked to simplify. Sometimes you will be asked to evaluate.
  • When asked to simplify, you will not be able to solve the problem out to a numerical answer. Your answer will have a variable in it.
            • Multiply your coefficients first; then combine your variables
            • EXAMPLE: 3a * (-5b) = -15ab
  • When asked to evaluate, you need to substitute each variable for the values given and solve based on the rules for multiplying integers.
            • Be careful to substitute what is given for each value.
            • EXAMPLE: x = -4, y = 3

-xy = 12

- (-4) * 3

4 * 3 = 12

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