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Infinity - Wikipedia, the free encyclopedia
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Extended real number line - Wikipedia, the free encyclopedia
In mathematics, the affinely extended real number system is obtained from the real number system R by adding two elements: +∞ and −∞ (pronounced "positive infinity" and "negative infinity"). These...
en.wikipedia.org/wiki/Extended_real_number_line |
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It is important to realize, though, that this topological space is not a number system. Although it includes an additional object called "infinity" as well as the familiar real numbers, you cannot add, subtract, multiply, or divide this additional object the way you can numbers.
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The real number system can be visualized as a horizontal line that extends from a special point called the Origin in both directions towards infinity. Also associated with the line is a unit of length.
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The real number system evolved over time by expanding the notion of what we mean by the word “number.” At first, “number” meant something you could count, like how many sheep a farmer owns. These are called the natural numbers, or sometimes the counting numbers.
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Infinity is a limitless quantity that is greater than every real number. ... Any number divided by Infinity is equal to zero. For example: . ... Which of the following is equivalent to infinity? Choices:; A. B. C. D. Correct Answer: B; Solution:; Step 1: Any number divided by zero is equal to infinity. Step 2:
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(Even without it, the jump to a general number is a difficult step, and not trivial geometrically.) (Since in the Moscow papyrus, b=a/2, one might wonder if perhaps the Egyptians did not know the general case after all.) Reprinted in Swetz, Frank J., From Five Fingers to Infinity.
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