Multiplying and Dividing Integers

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Presentation transcript:

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

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

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

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

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(-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

-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

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

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:______________

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:______________

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:______________

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

Evaluating Integer Expressions Saturday, September 15, 2018

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

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

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

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

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

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