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Lesson # 19 Multiplying Integers. Multiplying and dividing Integers. Can be simplified… If the rules are… Practiced Until… Memorized ! When you multiply or divide A positive with a positive, Or A Negative with a Negative, You always get… A Positive However… If multiplying a Positive with a Negative… The answer Will be A Negative. The actual numbers or digits will not change because of the signs. Now this rule applies when dealing with multiplying OR dividing 2 numbers… Like – 3 X +4 or - 6 x -7 BUT… When dealing with 3 or more values… There is a definite Pattern… That may speed things up! Here’s how it works… First… Look at your multiplying or dividing question… Then…Count how many “Negative” signs are in the question. If there is an even number of negative signs… The answer will be Positive! If there is an odd number of Negative Signs… The answer will be Negative ! A few examples… (-2)(-4)(-5) Remember … a bracket beside a bracket Indicates Multiplication Soooo… (-2)(-4)(-5) Count the number of negative signs (3 right). Since 3 is an odd number… The answer must be… Negative Yahoo! Your math teacher is under the assumption… that grade 8 students can multiply 2,4 and 5, in their heads, fairly quickly! The product of -2, -4 and -5… Would therefore be… - 40 ! Another example… (-1)(-2)(-3)(-4) = ? First… Count the number of negative signs… (4 right) That means the product (answer)… Must be Positive. Then do the multiplication… 1x2x3x4 = 24 (Right) So the answer to (-1)(-2)(-3)(-4) Is + 24 Yaba, Daba, Do ! And Now… It appears… as though… You should be ready … To do … 10 Practice questions, yea! Question # 1 (-1)(-1)(-1) Question # 2 (-2)(-2)(2) Question # 3 (3)(-3)(3) Question # 4 (-1)(4)(-1) Question # 5 (1)(1)(-5) Question # 6 (-1)(1)(1)(-6) Question # 7 (-1)(-1)(-1)(-7) Question # 8 (1)(1)(8)(-1) Question # 9 (-9)(-1)(1)(-9) Question # 10 (-1)(-2)(-3)(-5)(-1) And now the answers. Prepare Yourself ! Question # 1 (-1)(-1)(-1) = -1 Question # 2 (-2)(-2)(2) = 8 Question # 3 (3)(-3)(3) = -27 Question # 4 (-1)(4)(-1) = 4 Question # 5 (1)(1)(-5) = -5 Question # 6 (-1)(1)(1)(-6) = 6 Question # 7 (-1)(-1)(-1)(-7) = 7 Question # 8 (1)(1)(8)(-1) = -8 Question # 9 (-9)(-1)(1)(-9) = -81 Question # 10 (-1)(-2)(-3)(-5)(-1) = - 30 Almost… The End Remember… The P Word… P ractice ! Now… The End