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## Subtraction

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 Basic Math - Subtraction - Contents
Subtraction is the process of finding the difference between two numbers. It is a basic math operation of taking the quantity of one number away from another. Subtraction with two positive numbers could be represented by elements in two sets with the second set a proper subset of the first. For each element in the second set an element is extracted from the first set. The difference is the amount of remaining elements. Subtraction of positive numbers on a number line can be shown graphically by the detracting the length of one line from the length of another. The minus sign designates the subtraction operation in equations. It is the inverse function of addition. The operation of subtraction works within the boundaries of the set of all real numbers, as well as the set of imaginary numbers. Subtraction of a larger number from a smaller number leads to a negative number. Subtraction of a negative number is the same as adding the positive value. The subtraction of two common fractions cannot occur without the fractions having the same denominator. Other math functions use subtraction in their equations. The operation of subtraction is not commutative, so the order of the numbers in the subtraction process does matter.
 Basic Math - Subtraction - Examples

Subtraction operations:
12 - 3 = 9,
(-9) - 5 = -14,
4 - (-8) = 12,
(-6) - (-8) = 2.

Subtraction of fractions:
3/5 - 1/5 = 2/5,
3/4 - 2/3 = 9/12 - 8/12 = 1/12.

 Basic Math - Sections - Chapters 1 - Addition 2 - Subtraction 3 - Multiplication 4 - Division 5 - Identity Laws 6 - Symmetry Law 7 - Commutative Laws 8 - Distributive Laws 9 - Associative Laws

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