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Multiplying and Dividing Integers

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Presentation on theme: "Multiplying and Dividing Integers"— Presentation transcript:

1 Multiplying and Dividing Integers
Essential Question: How do I multiply and divide integers? Saturday, September 15, 2018

2 Multiplication of Integers
-8 Evaluate: = ________ Repeated addition is the same thing as:__________________ ...so can be written:________ Evaluate: = ______________ . ..so can be written:________ Multiplication 4(-2) -12 Multiplication 3(-4)

3 Multiplication of Integers
-35 Evaluate: = ______________ ...Rewrite as a multiplication problem:_________ Evaluate: = ______________=_________ Evaluate: = ______________=_________ 5(-7) -24 2(-12) -5 5(-1)

4 Multiplication of Integers
(+)(–) = (–) (–)(+) = (–) (+)(+) = (+) (–)(–) = (+)

5 7(-8) = _____ 56 -56 -1 -15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

6 -6(-7) = _____ 49 -42 -13 42 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

7 -9(3) = _____ 27 -6 -36 -27 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

8 Which of the following statements is NOT true?
A negative multiplied by a negative is a positive product. A positive multiplied by a negative is a negative product. A negative multiplied by a negative is a negative product. A negative multiplied by a positive is a negative product. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

9 Division of Integers Example 1: Negative divided by a Positive: -8 -8
so… -8 or… Negative Negative divided by a positive will always result in a:______________

10 Division of Integers Example 2: Positive divided by a Negative: -7 -7
so… -7 or… Negative Positive divided by a negative will always result in a:______________

11 Division of Integers c b a The Division Algorithm: If then
Example 2: Negative divided by a Negative: 6 so… 6 or… Positive Negative divided by a negative will always result in a:______________

12 Wait a minute…these look familiar!
Division of Integers Wait a minute…these look familiar! These are the same rules as:____________________________ A division problem with different signs is:______________ A division problem are the same signs is:_____________ Multiplication Negative Positive

13 Evaluating Integer Expressions
Saturday, September 15, 2018

14 Evaluate: 8 -8 7 -9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

15 Evaluate: 21 -20 -22 -21 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

16 Evaluate: -7 7 8 -6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

17 Evaluating Integer Expression
Today you will use the Order of Operations and your knowledge about integer operations to simplify some complex expressions. Order of Operations: Parentheses Exponents Multiplication and Division Addition and Subtraction

18 Evaluate: -14 -30 20 -8 I need help with this. 1 2 3 4 5 6 7 8 9 10 11
12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

19 Evaluate: 315 -105 3 -76 I need help with this. 1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28


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