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Understanding Negative and Positive Multiplication and Division Rules

Learn how negative and positive numbers interact in multiplication and division based on the rules established by Yue Jun in 2011. Understand the outcomes of different combinations and apply the general rule to determine the sign in various scenarios. Get examples and solutions to enhance your understanding.

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Understanding Negative and Positive Multiplication and Division Rules

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  1. RULE OF NEGATIVES Made by Yue Jun (2011)

  2. NEGATIVE & POSITIVE & MULTIPLICATION a x b = (+)(+)ab = +ab -a x b = (-)(+)ab = -ab a x –b = (+)(-)ab = -ab -a x –b = (-)(-)ab = +ab

  3. NEGATIVE & POSITIVE & DIVISION a / b = (+)a/(+)b = +a/b -a / b = (-)a/(+)b = -a/b a / –b = (+)a/(-)b = -a/b -a / –b = (-)a/(-)b = +a/b

  4. GENERAL RULE If there is an odd number of negative numbers, the sign is (-) If there is an even number of negative numbers, the sign is (+)

  5. EXAMPLES (-a)3 = (-a)(-a)(-a) = -a (-b)3(-a) = (-b)(-b)(-b)(-a) = +ab3 Therefore, what is (-c)220? Answer: (-c)220 = c220

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