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Understanding Integer Multiplication with Different and Same Signs

This educational resource explores the multiplication of integers, focusing on cases with different and same signs. It provides examples illustrating the outcomes of multiplying integers (positive and negative), helping students grasp key concepts such as identifying signs, using arrows to denote operations, and calculating results. Key examples include the multiplication of integers leading to negative and positive answers. This lesson reinforces understanding through practical problems, such as elevator movement and investment changes, demonstrating real-world applications.

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Understanding Integer Multiplication with Different and Same Signs

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  1. Transparency 4 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 4-5b Objective Multiply Integers

  4. Example 4-5b Vocabulary None

  5. Example 4-5b Multiply Integers 2. Different Signs • Same Sign Negative Answer Positive Answer 3  -4 = -12 -3  4 = -12 3  4 = 12 -3  -4 = 12

  6. Lesson 4 Contents Example 1Multiply Integers with Different Signs Example 2Multiply Integers with Different Signs Example 3Multiply Integers with Same Signs Example 4Multiply Integers with Same Sings Example 5Use Integers to Solve a Problem

  7. Example 4-1a Write problem Draw arrows to signs 9  ( - 6 ) Identify signs Opposite Signs Multiply numbers without signs 9  6 - 54 Opposite signs , negative answer Answer: –54 1/5

  8. Example 4-1b Answer: –28 1/5

  9. Example 4-2a Write problem Draw arrows to signs - 5  7 Identify signs Opposite Signs Multiply numbers without signs 5  7 Opposite signs , negative answer - 35 Answer: –35 2/5

  10. Example 4-2b Answer: –24 2/5

  11. Example 4-3a Write problem Draw arrows to signs 7  9 Identify signs Same Signs Multiply numbers without signs 7  9 Same signs, positive answer + 63 Answer: 63 3/5

  12. Example 4-3b Answer: 20 3/5

  13. Example 4-4a Write problem Draw arrows to signs - 4  ( - 8 ) Identify signs Same Signs Multiply numbers without signs 4  8 + 32 Same signs, positive answer Answer: 32 4/5

  14. Example 4-4b Answer: 14 4/5

  15. Example 4-5a ELEVATORS An elevator takes passengers from the ground floor of a shopping mall down to the underground parking garage. If it travels at a rate of 5 feet per second, where will it be in relation to the ground floor after 2 seconds? To find the location of the elevator after 2 seconds, you can multiply 2 by the amount of change per second, –5 feet. 2  ( - 5 ) 5/5

  16. Example 4-5a 2  ( - 5 ) Write problem Draw arrows to signs Opposite Signs Identify signs 2  5 Multiply numbers without signs - 10 Opposite signs , negative answer Answer: –10 feet 5/5

  17. Example 4-5b * INVESTMENTS Mr. Green has invested in a stock whose price is decreasing at a rate of $3 per day. What will be the change in the price of the stock after 5 days? Answer: –$15 5/5

  18. End of Lesson 4

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