Draft:One quarter
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| Cardinal | zero point two five | |||
| Ordinal | 0.25th (zeroth point two five) | |||
| Binary | 0.012 | |||
| Ternary | 0.02020202023 | |||
| Senary | 0.136 | |||
| Octal | 0.28 | |||
| Duodecimal | 0.312 | |||
| Hexadecimal | 0.416 | |||
| Greek | 𐆋 | |||
| Malayalam | ൳ | |||
| Acrophonic | 𐅀 | |||
One quarter (0.25, quarter, or one-fourth) is the multiplicative inverse of 4. It is a rational number, and is the decimal expansion of 1/4.[1][2]
As a word
[edit]
One quarter is one of few fractions that are commonly expressed in natural languages by suppletion rather than regular morphological derivation.
A quarter is commonly said to divide an object into four equal, or at least nearly equal parts.[3][4] It is acceptable to write one quarter alternatively as a hyphenated word, one-quarter.
Its etymology derives from the Anglo-French quartier, meaning 'quarter,' and from the Latin quartarius, from quartus, meaning 'fourth.' Its first known use was in the 14th century.[3][5]
In mathematics
[edit]- One quarter is a regular number, since 0.25 has a finite decimal representation such as .[6]
- The infinite series of 1/4 + 1/16 + 1/64 + 1/256 + ⋯ is a geometric series with the first term as 1/4 and the common ratio as 1/4,[7] which its sum is
- The centroid of a regular tetrahedron lies on its altitude exactly 1/4 (3:1 ratio) of the way up from the base.[8]
- The quarter-tank problem is a mathematical problem that asks for the height above the bottom of a horizontal cylinder to which it must be filled for it to be one quarter full.[9]
In currency
[edit]One quarter can most commonly represent as a coin, which can be equivalent to 25 cents, equal to 1/4 of a dollar.
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During World War ll, the Japanese government–issued rupee in Burma quarter currency was a one-quarter rupee that was first introduced in 1942. Instead of a coin, it was strictly a paper banknote.[10][11]
Computer character
[edit]| ¼ | |
|---|---|
vulgar fraction one quarter | |
| In Unicode | U+00BC ¼ VULGAR FRACTION ONE QUARTER |
| Related | |
| See also | U+00BD ½ VULGAR FRACTION ONE HALF U+00BE ¾ VULGAR FRACTION THREE QUARTERS |
The "one-quarter" symbol has its own code point as a precomposed character in the Latin-1 Supplement block of Unicode, which renders as ¼.[12]
References
[edit]- ↑ Weisstein, Eric W. "Quarter". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-09-20.
- ↑ Weisstein, Eric W. "Decimal Expansion". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-09-30.
- 1 2 "quarter". Merriam-Webster.com dictionary. Retrieved 2026-09-20.
- ↑ Gove, Philip Babcock, ed. (1993). "quarter". Webster's Third New International Dictionary of the English Language Unabridged with Seven Language Dictionary (in English, French, German, Italian, Spanish, Swedish, and Yiddish). Vol. 2. Chicago: Encyclopaedia Britannica. p. 1860. ASIN B000SOGPRA.
- ↑ "quarter (n.)". Oxford English Dictionary (OED). Oxford University Press (OUP). Retrieved 2026-10-01.
- ↑ Weisstein, Eric W. "Nonregular Number". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-09-20.
- ↑ Swain, Gordon A.; Dence, Thomas P. (April 1998). "Archimedes' Quadrature of the Parabola Revisited". Mathematics Magazine. 71 (2): 123–130. doi:10.1080/0025570X.1998.11996611.
- ↑ Alsina & Nelsen 2015, p. 97.
- ↑ Weisstein, Eric W. "Quarter-Tank Problem". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-10-01.
- ↑ "Quarter rupee note used during the Japanese Occupation". www.roots.gov.sg. Retrieved 2026-10-03.
- ↑ "banknote | British Museum". www.britishmuseum.org. Retrieved 2026-10-03.
- ↑ AG, Compart. "Unicode Character "¼" (U+00BC) – Unicode Compart". Compart. Retrieved 2026-09-30.
Bibliographies
[edit]- Alsina, C.; Nelsen, R. B. (2015). A Mathematical Space Odyssey: Solid Geometry in the 21st Century. Mathematical Association of America. ISBN 978-1-61444-216-5.
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