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Multiplying INTEGERS
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Discovery Activity With a partner, complete both parts to the “Discover the Math” activity on pages
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Discovery Activity Part 1 What is the pattern you see?
What is your rule for multiplying a positive number by a negative number? Would the rule be the same for multiplying a negative number by a positive number? Part 2 What is your rule for multiplying a negative number by a negative number?
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Find Integer Products Examples -4 x 3 =
How: The signs are different, so the product is negative 5 x (-2) = -7 x (-4) = How: The signs are the same, so the product is positive Vid to Enjoy Multiplying Integers Song (So Epic!) -12 -10 28
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Applying Integer Multiplication (Problems)
Example Six students each owe $5 for a field trip. What is the total amount owed? What integer rule does this illustrate? Solution: 6 x (-5) = -30 The six students owe a total of $30. This is -$30. This illustrates that the product of a positive number and a negative number is negative.
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Multiplying More Than 2 Integers
Examples 5 x (-9) x (-3) = -45 x (-3) = 135 -2 x (-4) x (-7) x 2 = 8 x (-7) x 2 = -56 x 2 = -112 I used the order of operations and multiply from left to right.
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Multiplication Rules When you multiply 2 integers,
If the signs are the same, the product is positive (5 x 5 = 25; -4 x (-4) = 16) If the signs are different, the product is negative (5 x (-5) = -25; -5 x 5 = -25)
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