integers

Integers- whole numbers such as 1,2,3,4,..... and the negatives of the whole numbers such as -1,-2,-3,-4,...

Rules for multipling and dividing integers
MULTIPLING-

1. Colored Chips- debts(-) credits (+)
1. When you have a positive number first [3*(-4)] then you think of the problem as 3 debts of the size 4. (-)(-)(-)  (-)(-)(-)  (-)(-)(-)  (-)(-)(-)= -12
2. When you have a negative number first [(-2)*3] then you think of the problem as take out 2 groups of 3. (+)(+)(+)(-)(-)(-) (+)(+)(+)(-)(-)(-)= -6, if you take away the 2 groups of positve 3 then it leaves you with 6 negatives.

  DIVIDING-

1. Sharing- divisor is positve and dividend is negative
1.  -10/2  - - - - -     - - - - - Think of the problem as you have 10 candy bars that you want to divide evenly between you and a friend. How many can each of you have? 5, but since the problem has a negative in it then you add the negative sign back onto the front of the number.
2. Measurement- both divisor and dividend are negative
1. -6/-3 think: 6 debts measured out 3 at a time, how many groups can there be?       (+)(+)(+)  (+)(+)(+)  there can be 2 groups.

Rules of signs

Addition:

- + - = -

+ + + = +

+ + - or - + + = find the difference and take the sign of the larger.

Subtraction:

A-B= A+(-B)

A-(-B)= A+B

Mulitplication:

positive x postive= positive

negative x negative= postive

postive x negative OR negative x positive= negative

Division:

positive / positive= positive

negative / negative= positive

positive / negative OR negative / positive= negative

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