Addition - Adding Natural Numbers, The Addition Algorithm, Adding Common Fractions, Adding Decimal Fractions, Adding Signed Numbers
Addition, indicated by a + sign, is a method of combining numbers. The result of adding two numbers is called their sum.
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Addition of natural numbers is independent of the numerals used to represent the numbers being added. However, some forms of notation make addition of large numbers easier than other forms. In particular, the Hindu-Arabic positional notation (in general use today) facilitates addition of large numbers, while the use of Roman numerals, for instance, is quite cumbersome. In the Hindu-Arabic position…
Historically, the number system expanded as it became apparent that certain problems of interest had no solution in the then-current system. Fractions were included to deal with the problem of dividing a whole thing into a number of parts. Common fractions are numbers expressed as a ratio, such as 2/3, 7/9, and 3/2. When both parts of the fraction are integers, the result is a rational number. Eac…
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