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Arial=e0}fԚTimes"1h$Kƌ&zB.!@d,Af,Ah,Aj,Al,An,Ap,Ar,At,Av,Ax,Az,A|,A~,A,A,A,A,A,A,A,A,A,A,A,A,A,A,A,A,A,A,A,@,Ax0@,@`.Ab.Ad.Al.An.Ar.Av.A.@,A.A.A.@,A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.@.@.@.Av'A'A'A'A'A.A'A/A'@(A(A(A (A (@(@/A /A /A/A/A/A/A/A/A/A/A/A /A"/A$/A&/A(/@6@ GTimes New Roman5Symbol3 Arial=e0}fԚTimes"h$KƑ&IT!>4 2QMULTIPLYING INTEGERS Cindy TsaiD T FMicrosoft Word DocumentNB6WWord.Document.8 ՜.+,0  hp  'Johnson Tsai Co.INr MULTIPLYING INTEGERS Title Oh+'0x  4 @ LX`hp'MULTIPLYING INTEGERS 1ULT Cindy Tsai indindNormalsD T21Microsoft Word 10.1@߽@bF@vIT@  jbjb 2hhldddd,{1_1_1_kkkkkkk,| ~lk1_Fd1_1_1_k_7___1_ k_1_k__hj5k d;_k5kL{{ k,)_)5k_MULTIPLYING INTEGERS 2 Possible Situations The Signs are the Same Same (() x (() = + (+) x (+) = + Different (() x (+) = ( (+) x (() = ( When the factors (2 numbers that you multiply) have the same sign, the product (consider of multiplication) is positive. Example #1: (+5) x (+6) = +30 or (5) (6) = 30 Example #2: ((12) x ((4) = +48 or (12 x (4 = +48 (Figure out that it is positive, then multiply 12 x 4) The Signs are Different *When the factors (2 numbers that you multiply) have different signs, the product (consider of multiplication) is negative. Example #1: Example #2: ((6) x (+8) = (48 (+9) x ((11) = (99 or or (6 + 8= (48 +9 x (11= (99 (Figure out that it is negative, then multiply 6 x 8) _____________________ Lets look at how this works, but first remember: Positive Negative  = 0 Also, Multiplication is just a shortcut for repeated addition. +3 x +4 means add 3 groups of 4 We use the first sign, for +3 as addition it tells you what to do with the groups.  One group of 4 Added to another group of 4 Added to a third group of 4 = 12 Remember the language. Example: +6 x +5 means add 6 groups of +5  (jrV$X$Z$$$$:%%x&z&&&('B'L't'v'((&(0( $^`a$ ^`r%% &`&('@'B'J'L'r'((($(&(.(8(f,,,.../ /*/0/0OJQJmHnH5OJQJmH  OJQJmH jOJQJUmHnHWhat happens when the signs are different? Now let s look at the first number being negative. Since +3 x  4 = Then -3 x +4 =  take away 3 groups of +4 ________________________________________________ Remember that any equal number of - and + integers equals 0 (zero) = 0 ________________________________________________ -3 x +4 =  take away 3 groups of +4    When we  take away these 3 groups of positive 4 we are left with -12    And0(2(f,,,,,b.... /,/./0/N0\0 $^`a$ ^` now& Why is a negative x a negative = a positive?  _______________________________________________  3 x  4 =  take away 3 groups of -4 negative+  $1h/ =!"#$%Start at zero& then times Start at zero& =04 2QMULTIPLYING INTEGERS Cindy TsaiD T i,@, Normal CJmH nHR@R Heading 1$$h@&^h`a$5CJ OJQJ<A@< Default Paragraph Font0>@0 Title FMicrosoft Word DocumentNB6WWord.Document.8 ՜.+,0  hp  'Johnson Tsai Co.INr MULTIPLYING INTEGERS Title Oh+'0x  4 @ LX`hp'MULTIPLYING INTEGERS 1ULT Cindy Tsai indindNormalsD T22Microsoft Word 10.1@))@bF@(9IT @  jbjb 4hhl~t,TOQQQQQQ, l}md}7RFOȀOF 奔T L,jjMULTIPLYING INTEGERS 2 Possible Situations The Signs are the Same Same (() x (() = + (+) x (+) = + Different (() x (+) = ( (+) x (() = ( When the factors (2 numbers that you multiply) have the same sign, the product (consider of multiplication) is positive. Example #1: (+5) x (+6) = +30 or (5) (6) = 30 Example #2: ((12) x ((4) = +48 or (12 x (4 = +48 (Figure out that it is positive, then multiply 12 x 4) The Signs are Different *When the factors (2 numbers that you multiply) have different signs, the product (consider of multiplication) is negative. Example #1: Example #2: ((6) x (+8) = (48 (+9) x ((11) = (99 or or (6 + 8= (48 +9 x (11= (99 (Figure out that it is negative, then multiply 6 x 8) _____________________ Lets look at how this works, but first remember: Positive Negative  = 0 Also, Multiplication is just a shortcut for repeated addition. +3 x +4 means add 3 groups of 4 We use the first sign, for +3 as addition it tells you what to do with the groups.  One group of 4 Added to another group of 4 Added to a third group of 4 = 12 Remember the language. Example: +6 x +5 means add 6 groups of +5  (jrV$X$Z$$$$:%%x&z&&&('B'L't'v'((&(0( $^`a$ ^`r%% &`&('@'B'J'L'r'((($(&(.(8(f,,,.../ /*/0/022CJ"OJQJmH  CJ"OJQJOJQJmHnH5OJQJmH  OJQJmH jOJQJUmHnH What happens when the signs are different? Now let s look at the first number being negative. Since +3 x  4 = Then -3 x +4 =  take away 3 groups of +4 ________________________________________________ Remember that any equal number of - and + integers equals 0 (zero) = 0 ________________________________________________ -3 x +4 =  take away 3 groups of +4    When we  take away these 3 groups of positive 4 we are left with -12    And0(2(f,,,,,b.... /,/./0/N0\0 $^`a$ ^` now& Why is a negative x a negative = a positive?  _______________________________________________  3 x  4 =  take away 3 groups of -4 negative+  $1h/ =!"#$%Start at zero& then times Start at zero& =0