IntegersLearning to:

Integer Procedural ChartCreated by Jennifer Wolf

Addition Subtraction

P= positive N=negative P= positive N= negative

           

P + P Add both integers and the answer will be

positive

P - P 1st integer is larger: Subtract the two integers and the answer will be positive

P - N

Change the equation to addition, and change the sign of the second integer. Add both integers and answer will be

positive.

N - N

Change the equation to addition and change the

sign of the second integer. Subtract both integers and take the

sign of the larger integer in the answer.

     

     

       

  ex: 4 + 2 = 6   ex: 4 - 2 = 2  

  ex: 1 + 6 = 7          

      P - P

2nd integer is larger: change the equation to addition and

change the sign of the second

integer. Subtract both integers and

use the sign of the larger integer

in the answer

  ex: 6 - - 2 =

Subtract both integers and use the sign of the larger integer in your

answer

    switch to 6 + 2 = 8

P + N        

N + P   N - P

Change the equation to addition, and change the sign of the second integer. Add the two integers together. Answer

will be negative.

   

       

      ex: -2 - - 4 =

        switch to -2 + 4

  ex: 3 + -2 = 1     * -2 + 4 = 2

  ex: -4 + 2 = -2            

        ex: 3 - 4   ex: -2 - 3 = ex: -3 - - 2 =

N + N

Add both integers and answer will be negative

 

switch to 3 + -4 =   switch to: -2 + -3 = switch to -3 + 2

   

subtract: 4 - 3 = 1   add 2 + 3, answer will be negative * -3 + 2 = -1

   take the sign of

the larger integer

  *-2 + -3 = -5  

           

  ex: -3 + -2 = -5   3 + - 4 = -1      

  ex: -4 + -6 = -10                

Multiplication

P= positive N= negative

   

P x P = P

ex: 2 x 4 = 8

   

P x N = N

ex: 6 x -2 = -12

   

N x P = N

ex: -4 x 3 = -12

   

N x N = P

ex: -2 x -3 = 6

Division

P= positive N= negative 

Turn equation into a multiplication problem, then solve for the missing integer. Use the multiplication procedural chart (to the left)

to add the correct sign to your answer.

P / P N / P P / N N / N

ex: 10 / 5 ex: -10 / 5 ex: 10 / -5 ex: -10 / -5

5 x __ = 10 5 x __ = -10 * -5 x __ = 10 * -5 x __ = -10

5 x 2 = 10 5 x -2 = -10 * -5 x -2 = 10 * -5 x 2 = -10

Integer Procedural ChartCreated by Jennifer Wolf

Addition

1 + 6 = 73 + -2 = 1

- 3 + -2 = -5 2 + -4 = -2 

 

 

 

 

   

 

 

 

   

 

  Addition

P= positive N=negative   

P + PAdd both integers and answer will

be positive       ex: 4 + 2 = 6  ex: 1 + 6 = 7     

Subtract both integers and use the sign of the larger integer in your

answer

P + NN + P

       ex: 3 + -2 = 1  ex: -4 + 2 = -2     

N + NAdd both integers and answer will

be negative       ex: -3 + -2 = -5  ex: -4 + -6 = -10

SubtractionSubtraction

P= positive N= negative

        P - P 1st number is

larger: Subtract the two integers and answer will be

positive

P - N

Change the equation to addition, and change the

sign of the second integer. Add both integers and the answer will be positive.

N - N

Change the equation to

addition and change the sign of the second

integer. Subtract both integers and

use the sign of the larger integer

in the answer.

       

   

  ex: 4 - 2 = 2  

          P - P 2nd number is

larger: change the equation to addition and change the sign

of the second integer. Subtract both integers and use the sign of the

larger integer in the answer

  ex: 6 - - 2 =     switch to 6 + 2 = 8

          N - P Change the equation to

addition, and change the sign of the second integer.

Add the two integers together. Answer will be

negative.

   

        ex: -2 - - 4 =    switch to -2 + 4    * -2 + 4 = 2       

  ex: 3 - 4   ex: -2 - 3 = ex: -3 - - 2 =  switch to 3 + -4 =   switch to: -2 + -3 = switch to -3 + 2

  subtract: 4 - 3 = 1  add 2 + 3, answer will be negative * -3 + 2 = -1

  take the sign of the larger integer

  *-2 + -3 = -5         3 + - 4 = -1                

4 – 2 = 2 3 – 4 = -1

6 - -2 = 8

-2 – 3 = -5 -2 - -4 = 2

MultiplicationMultiplication

P= positive N= negative

   

P x P = P

ex: 2 x 4 = 8

   

P x N = N

ex: 6 x -2 = -12

   

N x P = N

ex: -4 x 3 = -12

   

N x N = Pex: -2 x -3 = 6

2 x 4 = 8

-4 x 3 = -12 -2 x -3 = 6

4 x -1 = -4

DivisionDivision

P= positive N= negative  Turn equation into a multiplication problem, then solve for missing integer. Use

multiplication procedural chart (below) to add the correct sign to the answer.

P / P N / P P / N N / N

ex: 10 / 5 ex: -10 / 5 ex: 10 / -5 ex: -10 / -5

5 x __ = 10 5 x __ = -10 * -5 x __ = 10 * -5 x __ = -10

5 x 2 = 10 5 x -2 = -10 * -5 x -2 = 10 * -5 x 2 = -10

MultiplicationP= positive N= negative

   

P x P = Pex: 2 x 4 = 8

   P x N = N

ex: 6 x -2 = -12

   N x P = N

ex: -4 x 3 = -12

   N x N = Pex: -2 x -3 = 6

-10 / 5 = -212 / 6 = 2

8 / -2 = 4 -6 / -2 = 3