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Understanding Multiplying and Dividing Integers: Rules and Examples

This section covers the rules for multiplying and dividing integers, highlighting the outcomes based on the signs involved. When integers have the same sign, the result is positive, while different signs yield a negative result. The content also explores inverse operations, specifically how subtraction undoes addition and division undoes multiplication. Examples illustrate these principles, including products of various integers and special cases involving zero. Additionally, homework problems reinforce understanding and application.

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Understanding Multiplying and Dividing Integers: Rules and Examples

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  1. Sections 3.6 – 3.7 Multiplying and Dividing Integers

  2. Multiplying or Dividing Integers • SAME SIGN  POSITIVE • DIFFERENT SIGNS  NEGATIVE • ( + ) • ( + ) = + • ( - ) • ( - ) = + • ( + ) • ( - ) = - • ( - ) • ( + ) = -

  3. Definitions • Inverse operations: • What undoes addition? • What undoes multiplication? An operation that undoes the original operation. subtraction Division.

  4. Multiplication and Division with 0. = 0 Which one of these is not correct? = 0 = 0 undefined = 0

  5. Find each Product • - 8 (7) = • -4 ( -6) = • (3) • (0)= • 6 • - 3 = -56 24 0 -18

  6. Find each Product • - 80 ÷ 5 = • -45 ÷ -9 = • -8 ÷ 0 = • 36 ÷ 3 = -16 5 undefined 12

  7. Homework : pages 166 – 167 4 – 24 evens! Pages 172 – 173 4 – 24 evens!

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