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**Multiply/Divide integers Absent 10/14**

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**Example 1 -24 Find the Product 1. 4(-6) 4(6) = 24 Solution**

How many negative signs does this problem have? there is 1 neg. sign Odd # of signs then the solution is negative. What do we do with the 2 factors? Multiply the 2 #’s and get a solution What is the integer rule? A positive # multiplied by a negative #, then the answer is always negative. -24

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**Example 2 -30 (-5)(-3)(-2) 15(-2) -30 Solution Find the Product**

How many negative signs does this problem have? 3 neg. sign What do we do with the 3 factors? We multiply them. What is the integer rule? Odd number of Neg. signs the answer is neg. -30

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**Example 3 -8 Find the quotient 56 -7 -8 Solution**

How many negative signs does this problem have? 1 neg. sign. The answer is neg. What do we do with the 2 factors ? We divide the factors What is the integer rule? Odd number of neg. signs then the answer is neg. -8

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**Example 4 -4 Solve: 2(3 - 5) 2(-2) -4 Solution**

What do we do first in this problem? Think of last week We add the opposite. Can we use GEMA in this problem? YES or NO What integer rule do we use first? Diff. signs sub. Keep the sign of the larger. What integer rule do we use next for this problem? Neg. multiplied by a positive give us a neg. answer. Solve: 2( ) 2(-2) -4 Solution -4

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**Example 5 -11 Find the solution: 4x - 3 when x = -2 4(-2) - 3 -8 - 3**

4(-2) -11 Solution What do we do first in this problem? We substitute the variable for the constant. Do we use GEMA in this problem? YES or NO What integer rule do we use first? Neg. multiplied by a positive is a neg. answer What do we do next? Add the opposite. What is the integer rule? Same signs add and keep. -11

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EXAMPLE 1 Same sign, so quotient is positive. = –7 Different signs, so quotient is negative. c. 36 –9 = –4 Different signs, so quotient is negative. =

EXAMPLE 1 Same sign, so quotient is positive. = –7 Different signs, so quotient is negative. c. 36 –9 = –4 Different signs, so quotient is negative. =

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