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The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation.
A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner.
1 is a number representing a single or the only entity. 1 is also a numerical digit and represents a single unit of counting or measurement. For example, a line segment of unit length is a line segment of length 1. In conventions of sign where zero is considered neither positive nor negative, 1 is the first and smallest positive integer. It is also sometimes considered the first of the infinite sequence of natural numbers, followed by 2, although by other definitions 1 is the second natural number, following 0.
2 (two) is a number, numeral and digit. It is the natural number following 1 and preceding 3. It is the smallest and only even prime number. Because it forms the basis of a duality, it has religious and spiritual significance in many cultures.
9 (nine) is the natural number following 8 and preceding 10.
10 (ten) is the even natural number following 9 and preceding 11. Ten is the base of the decimal numeral system, the most common system of denoting numbers in both spoken and written language.
7 (seven) is the natural number following 6 and preceding 8. It is the only prime number preceding a cube.
17 (seventeen) is the natural number following 16 and preceding 18. It is a prime number.
1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.
126 is the natural number following 125 and preceding 127.
In number theory, a pentatope number is a number in the fifth cell of any row of Pascal's triangle starting with the 5-term row 1 4 6 4 1, either from left to right or from right to left. It is named because it represents the number of 3-dimensional unit spheres which can be packed into a pentatope of increasing side lengths.
1,000,000, or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian millione, from mille, "thousand", plus the augmentative suffix -one.
288 is the natural number following 287 and preceding 289. Because 288 = 2 · 12 · 12, it may also be called "two gross" or "two dozen dozen".
5 (five) is a number, numeral and digit. It is the natural number, and cardinal number, following 4 and preceding 6, and is a prime number. It has garnered attention throughout history in part because distal extremities in humans typically contain five digits.
20,000 is the natural number that comes after 19,999 and before 20,001.
888 is the natural number following 887 and preceding 889.
14 (fourteen) is a natural number following 13 and preceding 15.
A centered octahedral number or Haüy octahedral number is a figurate number that counts the number of points of a three-dimensional integer lattice that lie inside an octahedron centered at the origin. The same numbers are special cases of the Delannoy numbers, which count certain two-dimensional lattice paths. The Haüy octahedral numbers are named after René Just Haüy.
In geometry, chamfering or edge-truncation is a topological operator that modifies one polyhedron into another. It is similar to expansion, moving faces apart and outward, but also maintains the original vertices. For polyhedra, this operation adds a new hexagonal face in place of each original edge.
References
- ↑ Buchholz, Ralph Heiner (1992). "Perfect pyramids". Bulletin of the Australian Mathematical Society. 45 (3): 353–368. doi: 10.1017/S0004972700030252 . MR 1165142.
- ↑ Deza, Michel; Deza, Elena (2012). Figurate Numbers. World Scientific. p. 2. ISBN 9789814458535.
- ↑ Sloane, N. J. A. (ed.). "SequenceA000326(Pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
- ↑ Niederman, Derrick (2009). Number Freak: From 1 to 200- The Hidden Language of Numbers Revealed. Penguin. p. 10. ISBN 9781101135488..
- ↑ Kleeman, Terry; Barrett, Tracy (2005). The Ancient Chinese World. Oxford University Press. p. 35. ISBN 9780195171020.
- ↑ Kojima, Craig T. (January 21, 2000). "Enter the dragon". Honolulu Star-Bulletin.
- ↑ Kann, Amanda (Spring 2022). "'For the fifty-eleventh time': Examining cross-linguistic properties of hyperbolic numerals and quasi-numeral expressions through parallel text extraction" (PDF) (Master's thesis). Stockholm University Department of Linguistics. Retrieved 2022-08-11.