how to divide integers

To divide integers with like signs, divide the integers and quotient is always positive.

Examples:
1. (-20)/(-5) = 4      positive quotient
2. (100)/(10) = 10   positive quotient

To divide integers with unlike signs, the quotient is always negative

Examples:
1. (-36)/ (6) = -6   negative quotient
2. (81)/ (-9) = -9  negative quotient

contact us   pepitodalupe@gmail.com

how to multiply integers

To multiply integers with like signs, the multiply the factors and the product is always positive
 Examples
1. (-5) (-4) = 20
2. (9 ) (2)  = 18    
To multiply integers with unlike signs, the multiply the factors and the product is always negative.
Examples:
1. (-12) (2) = -24
2. (15) (-3) = -45

To multiply multiple products
Examples
1. (2) (-2) (1) = (-4) (1) = -4
2. ( -1) (1) (1) (-2) = (-1) (-2) = 2
3. (1) (2) (-3) (1) (-1) = (2)(-3) (-1) = (-6) (-1) = 6
                                   or
                                   =(2) (3) = 6

contact us pepitodalupe@gmail.com

how to subtract integers

to subtract the two integers , change the sign of the subtrahend and proceed to the law of addition of integers.
Examples
1. (-9) - (5)
    (-9) + (-5)  = -14    change the sign of the subtrahend integer and proceed to the law of
                                   addition of integers   ( see addition of integers with like signs)

2. (20) - (-45)
    (20) + (45)  =  65    change the sign of the subtrahend integer and proceed to the law of
                                   addition of integers   ( see addition of integers with like signs)     

3. (20) - (45)
    (20) +(-45)  =  -25 change the sign of the subtrahend integer and proceed to the law of
                                   addition of integers   ( see addition of integers with unlike signs)
4. (-55)- (-40)
    (-55) + (40)  = -15 change the sign of the subtrahend integer and proceed to the law of
                                   addition of integers   ( see addition of integers with like signs)
to be continued.....
contact us pepitodalupe@gmail.com

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....
contact us   pepitodalupe@gmail.com