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The first mention of the number line used for operation purposes is found in John Wallis's Treatise of Algebra (1685). [2] [page needed] In his treatise, Wallis describes addition and subtraction on a number line in terms of moving forward and backward, under the metaphor of a person walking.
A geometric discussion of addition and subtraction of real numbers using the number line, ideally including pictures; A basic discussion of how left and right correspond to less than and greater than, as well as how distance corresponds to the absolute value of the difference; A short discussion of how the rational numbers fit onto the number ...
In a sense, subtraction is the inverse of addition. That is, c = a − b if and only if c + b = a. In words: the difference of two numbers is the number that gives the first one when added to the second one. Subtraction follows several important patterns. It is anticommutative, meaning that changing the order changes the sign of the answer.
The main arithmetic operations are addition, subtraction, multiplication, and division. ... Using the number line method, calculating + is performed by starting at ...
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The Cantor ternary set is created by iteratively deleting the open middle third from a set of line segments. One starts by deleting the open middle third (,) from the interval [,], leaving two line segments: [,] [,].
In Germany, the convention is simply taught as Punktrechnung vor Strichrechnung, "dot operations before line operations" referring to the graphical shapes of the taught operator signs U+00B7 · MIDDLE DOT (multiplication), U+2236 ∶ RATIO (division), and U+002B + PLUS SIGN (addition), U+2212 − MINUS SIGN (subtraction).
The predecessor of a natural number (excluding zero) is the previous natural number and is the result of subtracting one from that number. For example, the successor of zero is one, and the predecessor of eleven is ten ( 0 + 1 = 1 {\displaystyle 0+1=1} and 11 − 1 = 10 {\displaystyle 11-1=10} ).
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