Integer Operations in Absolute Values

integer operations

by Fielo Carlos P Salcedo

​ADDITION OF INTEGERS

​HOW DO WE ADD INTEGERS?

​1. If the integers have the same signs,

​a. The sum of two positive integers is positive.

​ examples: 4 + 17 = 21

​ 3 + 5 = 8

​

​b. The sum of two negative integers is negative.

​ examples: -7 - 2 = -9

​ -3 + (-5) = -3 - 5 = -8

​Add the following

​1. 13 + 24 =

​

​2. 16 + 18 =

​

​3. 36 + 55 =

​

​4. -25 - 64 =

​

​5. (-57) + (-48) =

​1. 37

​

​2. 34

​

​3. 91

​

​4. -89

​

​5. -105

​2. if the integers have different signs

​Subtract their absolute values. The sum is ...

​a. positive if the positive integer has the greater value.

​example: 36 + (-8) = ?

​

​

​b. negative if the negative integer has the greater value.

​example: 4 + (-9) = ?

​Another easier way

​Simplify first before adding or subtracting.

​Make sure that each term has only one sign.

​

​Add a negative +(-) = -

​Subtract a positive -(+) = -

​Add a positive +(+) = +

​Subtract a negative -(-) = +

​examples

​1. 3 + (-4) = ?

= 3 - 4

= -1

​

​2. 6 - (+4) = ?

​ = 6 - 4

​ = 2

​3. -3 - (-4) = ?

= -3 + 4

= 1

​

​4. -6 + (+4) = ?

​ = -6 + 4

​ = -2

​5. 9 - (-4) = ?

= 9 + 4

= 13

​

​6. -(-8) - (-4) = ?

​ = 8 + 4

​ = 12

​More examples

​1. 7 + (-7) = ?

= 7 - 7

= 0

​

​2. -6 - (+14) = ?

​ = -6 - 14

​ = -20

​3. 52 - (4) = ?

= 52 - 4

= 48

​

​4. -24 + (-16) = ?

​ = -24 - 16

​ = -40

​5. -29 - (24) = ?

= -29 -24

= -53

​

​6. -(+8) + (-4) = ?

​ = -8 - 4

​ = -12