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In the second line, the number one is added to the fraction, and again Excel displays only 15 figures. In the third line, one is subtracted from the sum using Excel. Because the sum has only eleven 1s after the decimal, the true difference when ‘1’ is subtracted is three 0s followed by a string of eleven 1s.
In mathematics, summation is the addition of a sequence of numbers, called addends or summands; the result is their sum or total.Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials and, in general, elements of any type of mathematical objects on which an operation denoted "+" is defined.
A running total or rolling total is the summation of a sequence of numbers which is updated each time a new number is added to the sequence, by adding the value of the new number to the previous running total. Another term for it is partial sum. The purposes of a running total are twofold.
The ability to chain formulas together is what gives a spreadsheet its power. Many problems can be broken down into a series of individual mathematical steps, and these can be assigned to individual formulas in cells. Some of these formulas can apply to ranges as well, like the SUM function that adds up all the numbers within a range.
Columnar addition – the numbers in the column are to be added, with the sum written below the underlined number. There are also situations where addition is "understood", even though no symbol appears: A whole number followed immediately by a fraction indicates the sum of the two, called a mixed number. [4]
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Sum (category theory), the generic concept of summation in mathematics; Sum, the result of summation, the addition of a sequence of numbers; 3SUM, a term from computational complexity theory; Band sum, a way of connecting mathematical knots; Connected sum, a way of gluing manifolds; Digit sum, in number theory; Direct sum, a combination of ...
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