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Thursday, June 16, 2016

how to add of integers

Integers are  signed numbers which consists of positive numbers, negative numbers and zero.
To add integers it is grouped into two 1) addition of integers with the same signs  2)  addition of integers with unlike signs.

Addition integers with like signs
get the sum of the integers and affix the common sign
examples
1.   (-2) + (-12)  =   -14             the common of both integers is negative since -2 and -12 , upon
                                                  getting the sum or total affix the common which is negative before
                                                  the number.
2.     15  +  25    =  40                both numbers are positive so the common sign is positive.
                                                   if no sign is indicated in the answer it's positive.
3.     (-5)  + (-4)  + (-7) =   -16   getting the sum of integers the affix the common sign which is
                                                   negative before the number.

Addition of integers with unlike signs
Subtract from highest integer absolute value to the smaller integer absolute value and affix the sign
of integer with greatest absolute value to the answer.

Examples:
1. (-12) +  9    =    -3              the absolute value  /-12/ = 12   while /9/= 9   so 12- 9 = 3 then affix
                                               the sign of higher integer absolute value to the answer


2.  20 +  (-15) =   5                 the absolute value of /20/ = 20 while /-15/ = 15 so 20-15 = 5  then
                                                affix sign of  higher integer absolute value to the answer.

Visual examples:





1. (-4) + (-6 )    two groups of negative hexagons
                          combined together indicated by plus sign




 
                                                                      
  the negative pentagon                                                 arranging for easy counting,

   into one group                                                           the sum of negative pentagon is -10

 



2.  5 + 3                  the two groups of positive stars

                                to be combined together 


        

     grouping together                                                        arranging and counting, 8 positive stars

                                                                            






        3.    4 + (-5)     4 green positive chips combined with 5 yellow
                                 negative chips





                                       




arranging and eliminating pairs of positive and negative chips
so the remaining chips is only one  negative yellow.

in real life situation it may be a group of singles, then married
so eliminated to singleness. the only remaining single is one
female  if + is male .

                                                      if yellow chips are amount to be paid with + signs. the remaining
                                                      one negative. so still in debt for one chip.
to be continued....
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