1.3

Addition of Real Numbers

 

Adding Numbers with the same sign:

 

Add the absolute values of the numbers and apply the common sign.

 

-5 + (-3)

-1 + (-7)

 6 + 4

 

Adding Numbers with different signs:

 

Subtract the smaller absolute value from the larger absolute value.  Then apply the sign of the number having the larger absolute vlue.

 

-2 + 5

4 + (-18)

 

 

1.4

Subtraction of Real Numbers

 

If a and b are real numbers, then

a – b = a + (-b)

 

8 – 5  =  8 + (-5)

     

12 – 10  = 12 + (-10)    

 

5 – 7  =  5 + (-7)

 

      8 – (-2) = 8 + 2

 

 

Practice Problems:

 

3 – (-6) =

 

9 – |-4| =

 

7 – (-2) =

 

5 – |-8| =

 

ACTIVITIES:

·      ADDING AND SUBTRACTING

·      ARITHMETIC WITH ABSOLUTE VALUES

 

 

 

1.5

Multiplication and Division of Real Numbers

 

 

      positive times positive  =  positive

 

                     5  4  = 20

                     2  30 = 60

 

       negative times negative  =  positive

 

                     -2(-4)  = 8

                     -3(-5) = 15

 

positive times negative  =  negative

 

                     3  (-4)  = -12

             

       negative times positive  =  negative

 

-5    3  = -15

 

positive divided by positive  =  positive

 

20  /  4  = 5

                     30  /  2 = 15

 

 

negative divided by negative  =  positive

 

-20  / (-4)  = 5

                     -30  / (-3) = 10

 

 

negative divided by positive  =  negative

 

                     -20  /  4  = -5

                     -30  /  3 = -10

 

positive divided by negative  =  negative

 

                     20  / (-4)  = -5

30       / (-3) = -10

 

 

 

      Assignment for 1.5

 

      Page 89

          21-25 odd, 31, 33,

43-57 odd, 99, 101

 

ACTIVITY: MULTIPLICATION AND DIVISION