Addition

Addition is the process of summing two numbers together. It is the basic math operation of combining the quantities of two numbers. If the two numbers represent elements in two disjointed sets then counting the numbers of elements in both sets equals the sum of the two numbers. Addition of two positive numbers on a number line can be shown graphically by the combining of the lengths of the two lines. In equations the plus sign designates the operation of addition. One of the first mathematical operations created by humans is believed to be the addition of natural numbers which always returns another natural number. The operation also works within the boundaries of the set of all real numbers, as well as the set of imaginary numbers. The addition of two common fractions cannot occur without the fractions having the same denominator. The addition of a negative number is the same as subtracting the number as a positive number. Other math functions use addition in their equations. The operation of addition is commutative, so the order of the numbers does not matter.

Addition operations:
2 + 3 = 5,
5 + 19 = 24,
24 + (-18) = 6,
6 + (-8) = -2.

Addition of fractions:
1/5 + 3/5 = 4/5,
2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12.