An integer is the set of all whole numbers and their opposites.

For example, here is a set of integers {... -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...}.



The absolute value of a number is the distance the number is from zero.

For example, the absolute value of -4 is 4.  We denote that by writing | -4 | = 4.  -4 is 4 units from zero to its left.

More examples:

|5| = 5

|-100| = 100



Two numbers with the same absolute value but different signs are called opposites.  An integer and its opposite are also called additive inverses.

 

 

The opposite of 7 is -7.

The opposite of -0.123 is 0.123.

The opposite of -12 is 12.


Adding Integers


Subtracting Integers


Multiplying Integers


Dividing Integers