Mathematics - Class ...

                         i.        When we add a positive integer, we move to the right on the number line.

                        ii.        When we add a negative integer, we move to the left on the number line.

                        iii.        When we subtract a positive integer, we move to the left on the number line.

                       iv.        When we subtract a negative integer, we move to the right on the number line.

                        v.        Every positive integer is greater than every negative integer.

                      vi.        Zero is less than every positive integer and is greater than every negative integer.

         vii.        When two positive integers are added we get a positive integer.

         Example: 12+14 = 26 (If the signs are the same, we find the sum of the values of integers without sign, and then use the same sign as the integers have.)

                      viii.        When two negative integers are added we get a negative integer.

Example: (–6) + (–3) = – 9 (If the signs are the same, we find the sum of the values of integers without sign, and then use the same sign as the integers have.)

                       ix.        When integers with different signs are added, we find out the difference of the values of integers without sign (subtract lower value integer from greater value integer) and then use the sign of the integer with the greater value.

                       x.        The additive inverse of any integer a is – a and additive inverse of (– a) is a. Example: Additive inverse of an integer 5 is (– 5) and additive inverse of (– 5) is 5.