1.
Fraction (mathematics)
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A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction consists of an integer numerator displayed above a line, numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals. The numerator represents a number of parts, and the denominator. For example, in the fraction 3/4, the numerator,3, tells us that the fraction represents 3 equal parts, the picture to the right illustrates 34 or ¾ of a cake. Fractional numbers can also be written without using explicit numerators or denominators, by using decimals, percent signs, an integer such as the number 7 can be thought of as having an implicit denominator of one,7 equals 7/1. Other uses for fractions are to represent ratios and to represent division, thus the fraction ¾ is also used to represent the ratio 3,4 and the division 3 ÷4. The test for a number being a number is that it can be written in that form. In a fraction, the number of parts being described is the numerator. Informally, they may be distinguished by placement alone but in formal contexts they are separated by a fraction bar. The fraction bar may be horizontal, oblique, or diagonal and these marks are respectively known as the horizontal bar, the slash or stroke, the division slash, and the fraction slash. In typography, horizontal fractions are known as en or nut fractions and diagonal fractions as em fractions. The denominators of English fractions are expressed as ordinal numbers. When the denominator is 1, it may be expressed in terms of wholes but is commonly ignored. When the numerator is one, it may be omitted, a fraction may be expressed as a single composition, in which case it is hyphenated, or as a number of fractions with a numerator of one, in which case they are not. Fractions should always be hyphenated when used as adjectives, alternatively, a fraction may be described by reading it out as the numerator over the denominator, with the denominator expressed as a cardinal number. The term over is used even in the case of solidus fractions, Fractions with large denominators that are not powers of ten are often rendered in this fashion while those with denominators divisible by ten are typically read in the normal ordinal fashion. A simple fraction is a number written as a/b or a b

2.
Decimal
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This article aims to be an accessible introduction. For the mathematical definition, see Decimal representation, the decimal numeral system has ten as its base, which, in decimal, is written 10, as is the base in every positional numeral system. It is the base most widely used by modern civilizations. Decimal fractions have terminating decimal representations and other fractions have repeating decimal representations, Decimal notation is the writing of numbers in a base-ten numeral system. Examples are Brahmi numerals, Greek numerals, Hebrew numerals, Roman numerals, Roman numerals have symbols for the decimal powers and secondary symbols for half these values. Brahmi numerals have symbols for the nine numbers 1–9, the nine decades 10–90, plus a symbol for 100, Chinese numerals have symbols for 1–9, and additional symbols for powers of ten, which in modern usage reach 1072. Positional decimal systems include a zero and use symbols for the ten values to represent any number, positional notation uses positions for each power of ten, units, tens, hundreds, thousands, etc. The position of each digit within a number denotes the multiplier multiplied with that position has a value ten times that of the position to its right. There were at least two independent sources of positional decimal systems in ancient civilization, the Chinese counting rod system. Ten is the number which is the count of fingers and thumbs on both hands, the English word digit as well as its translation in many languages is also the anatomical term for fingers and toes. In English, decimal means tenth, decimate means reduce by a tenth, however, the symbols used in different areas are not identical, for instance, Western Arabic numerals differ from the forms used by other Arab cultures. A decimal fraction is a fraction the denominator of which is a power of ten. g, Decimal fractions 8/10, 1489/100, 24/100000, and 58900/10000 are expressed in decimal notation as 0.8,14.89,0.00024,5.8900 respectively. In English-speaking, some Latin American and many Asian countries, a period or raised period is used as the separator, in many other countries, particularly in Europe. The integer part, or integral part of a number is the part to the left of the decimal separator. The part from the separator to the right is the fractional part. It is usual for a number that consists only of a fractional part to have a leading zero in its notation. Any rational number with a denominator whose only prime factors are 2 and/or 5 may be expressed as a decimal fraction and has a finite decimal expansion. 1/2 =0.5 1/20 =0.05 1/5 =0.2 1/50 =0.02 1/4 =0.25 1/40 =0.025 1/25 =0.04 1/8 =0.125 1/125 =0.008 1/10 =0

3.
1st Battalion, 8th Marines
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1st Battalion, 8th Marines is an infantry battalion in the United States Marine Corps based out of Marine Corps Base Camp Lejeune, North Carolina. The battalion consists of approximately 1000 Marines and Sailors and is nicknamed The Beirut Battalion and they fall under the command of the 8th Marine Regiment and the 2nd Marine Division. The units history goes back to World War II where they fought in campaigns in the Pacific including Guadalcanal, Tarawa, Saipan, Tinian. The battalion is probably best known as the unit that was the victim of the 1983 Beirut barracks bombing in Lebanon, a total of 241 Marines, sailors and soldiers lost their lives that day and the majority of them were from 1/8. Activated April 1,1940, at San Diego, California, the 2nd Marine Brigade was re-designated February 1,1941, as 2nd Marine Division. The battalion was assigned during December 1941 to 2nd Marine Brigade, jeschke arrived from American Samoa, landing as reinforcements on Guadalcanal. On 12 January, the Marines began their advance with the 8th Marines along the shore, all along the front of the advancing assault companies the going was rough. The Japanese, remnants of the Sendai Division, were dug into the sides of a series of cross compartments, progress was slow despite massive artillery support and naval gunfire from four destroyers offshore. In two days of fighting, flamethrowers were employed for the first time and tanks were brought into play. The 2d Marines was now relieved and the 6th Marines moved into the attack along the coast while the 8th Marines took up the advance inland, Naval gunfire support, spotted by naval officers ashore, improved measurably. On the 15th, the Americans, both Army and Marine, reached the initial corps objective, in the Marine attack zone,600 Japanese were dead. The 8th Marines was essentially pinched out of the front lines by a narrowing attack corridor as the inland mountains, on 31 January, the 2d Marines and the 1st Battalion, 8th Marines, boarded ship to leave Guadalcanal. 1st Battalion 8th Marines headed for Wellington, New Zealand, the 2nd Marine Division losses on Guadalcanal were 263 dead. Tarawa 1st Battalion 8th Marines departed the USS Sheridan, boarded LVTs, with the battle still in doubt and after 18 hours at sea watching the battle as the division reserve, they were finally ordered ashore. 1/8 landed on Red Beach 2 at 06,15 on 21 November 1943, as soon as 1/8 began their landing, the murderous onslaught started. The LVTs didnt fare any better than the D Day landings and were bogged down by the reef. The men of 1/8 landed on the far right of Red 2 after wading over 500 yards ashore, in the end, it was the sheer courage of the survivors that got them ashore under such a hellish crossfire. Major Hays reported to Colonel Shoup, the newly promoted commander of the 2nd Marine Regiment, 1/8 had suffered more than 300 casualties just trying to get ashore, others were scattered all along the beach and the pier

4.
Shilling
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The shilling is a unit of currency formerly used in the United Kingdom, Australia, United States, and other British Commonwealth countries. The word shilling comes from scilling, a term that dates back to Anglo-Saxon times, and from there back to Old Norse. Slang terms for the old shilling coins include bob and hog, while the derivation of bob is uncertain, John Camden Hotten in his 1864 Slang Dictionary says the original version was bobstick and wonders if it is connected with Sir Robert Walpole. One abbreviation for shilling is s, often it was represented by a solidus symbol, which may have originally stood for a long s or ſ, thus 1/9 would be one shilling and ninepence. A price with no pence was sometimes written with a slash, the solidus symbol is still used for the shilling currency unit in former British East Africa, rather than sh. During the Great Recoinage of 1816, the mint was instructed to coin one troy pound of silver into 66 shillings. This set the weight of the shilling, and its subsequent decimal replacement 5 new pence coin, at 87.2727 grains or 5.655 grams from 1816 until 1990, in the past, the English world has had various myths about the shilling. One myth was that it was deemed to be the value of a cow in Kent or a sheep elsewhere, a shilling was a coin used in England from the reign of Henry VII. The term shilling was in use in Scotland from early medieval times, the common currency created in 1707 by Article 16 of the Articles of Union continued in use until decimalisation in 1971. In the traditional pounds, shillings and pence system, there were 20 shillings per pound and 12 pence per shilling, three coins denominated in multiple shillings were also in circulation at this time. In the Irish Free State and Republic of Ireland the shilling was issued as scilling in Irish and it was worth 1/20th of an Irish pound, and was interchangeable at the same value to the British coin, which continued to be used in Northern Ireland. The coin featured a bull on the reverse side, the first minting, from 1928 until 1941, contained 75% silver, more than the equivalent British coin. The original Irish shilling coin ) was withdrawn from circulation on 1 January 1993, Australian shillings, twenty of which made up one Australian pound, were first issued in 1910, with the Australian coat of arms on the reverse and King Edward VII on the face. The coat of arms design was retained through the reign of King George V until a new head design was introduced for the coins of King George VI. This design continued until the last year of issue in 1963, in 1966, Australias currency was decimalised and the shilling was replaced by a ten cent coin, where 10 shillings made up one Australian dollar. The slang term for a coin in Australia was deener. The slang term for a shilling as currency unit was bob, after 1966, shillings continued to circulate, as they were replaced by 10-cent coins of the same size and weight. New Zealand shillings, twenty of which made up one New Zealand pound, were first issued in 1933, in 1967, New Zealands currency was decimalised and the shilling was replaced by a ten cent coin of the same size and weight

5.
Penny (British pre-decimal coin)
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The pre-decimal penny was a coin worth 1/240th of a pound sterling. Its symbol was d, from the Roman denarius and it was a continuation of the earlier English penny, and in Scotland it had the same monetary value as one pre-1707 Scottish shilling. The penny was minted in silver, but from the late 18th century it was minted in copper. The plural of penny is pence when referring to a quantity of money, thus 8d is eight pence, but eight pennies means specifically eight individual penny coins. Before Decimal Day in 1971 twelve pence made a shilling, and twenty shillings made a pound, values less than a pound were usually written in terms of shillings and pence, e. g.42 pence would be three shillings and sixpence, pronounced three and six. Values of less than a shilling were simply written in terms of pence and this version of the penny was made obsolete in 1971 by decimalisation, and was replaced by the decimal penny which had a value 140% more. The kingdoms of England and Scotland were merged by the 1707 Act of Union to form the Kingdom of Great Britain, the penny replaced the shilling of the pound scots. The design and specifications of the English penny were unchanged by the Union, Queen Annes reign saw pennies minted in 1708,1709,1710, and 1713. These issues, however, were not for circulation, instead being minted as Maundy money. The prohibitive cost of minting silver coins had meant the size of pennies had been reduced over the years, the practice of minting pennies only for Maundy money continued through the reigns of George I and George II, and into that of George III. In 1797, the government authorised Matthew Boulton to strike copper pennies and twopences at his Soho Mint in Birmingham. At the time it was believed that the value of a coin should correspond to the value of the material it was made from. This requirement meant that the coins would be larger than the silver pennies minted previously. The large size of the coins, combined with the rim where the inscription was incuse i. e. punched into the metal rather than standing proud of it. These pennies were minted over the course of years. By 1802, the production of privately issued provincial tokens had ceased, however, in the next ten years the intrinsic value of copper rose. The return of privately minted token coinage was evident by 1811 and endemic by 1812, the Royal Mint undertook a massive recoinage programme in 1816, with large quantities of gold and silver coin being minted. To thwart the further issuance of private token coinage, in 1817 an Act of Parliament was passed which forbade the manufacture of private token coinage under very severe penalties

6.
Pound sterling
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It is subdivided into 100 pence. A number of nations that do not use sterling also have called the pound. At various times, the sterling was commodity money or bank notes backed by silver or gold. The pound sterling is the worlds oldest currency still in use, the British Crown dependencies of Guernsey and Jersey produce their own local issues of sterling, the Guernsey pound and the Jersey pound. The pound sterling is also used in the Isle of Man, Gibraltar, the Bank of England is the central bank for the pound sterling, issuing its own coins and banknotes, and regulating issuance of banknotes by private banks in Scotland and Northern Ireland. Sterling is the fourth most-traded currency in the exchange market, after the United States dollar, the euro. Together with those three currencies it forms the basket of currencies which calculate the value of IMF special drawing rights, Sterling is also the third most-held reserve currency in global reserves. The full, official name, pound sterling, is used mainly in formal contexts, otherwise the term pound is normally used. The abbreviations ster. or stg. are sometimes used, the term British pound is commonly used in less formal contexts, although it is not an official name of the currency. The pound sterling is also referred to as cable amongst forex traders, the origins of this term are attributed to the fact that in the 1800s, the dollar/pound sterling exchange rate was transmitted via transatlantic cable. Forex brokers are sometimes referred to as cable dealers, as another established source notes, the compound expression was then derived, silver coins known as sterlings were issued in the Saxon kingdoms,240 of them being minted from a pound of silver. Hence, large payments came to be reckoned in pounds of sterlings, in 1260, Henry III granted them a charter of protection. And because the Leagues money was not frequently debased like that of England, English traders stipulated to be paid in pounds of the Easterlings, and land for their Kontor, the Steelyard of London, which by the 1340s was also called Easterlings Hall, or Esterlingeshalle. For further discussion of the etymology of sterling, see sterling silver, the currency sign for the pound sign is £, which is usually written with a single cross-bar, though a version with a double cross-bar is also sometimes seen. The ISO4217 currency code is GBP, occasionally, the abbreviation UKP is used but this is non-standard because the ISO3166 country code for the United Kingdom is GB. The Crown dependencies use their own codes, GGP, JEP, stocks are often traded in pence, so traders may refer to pence sterling, GBX, when listing stock prices. A common slang term for the pound sterling or pound is quid, since decimalisation in 1971, the pound has been divided into 100 pence. The symbol for the penny is p, hence an amount such as 50p properly pronounced fifty pence is more colloquially, quite often, pronounced fifty pee /fɪfti, pi and this also helped to distinguish between new and old pence amounts during the changeover to the decimal system

7.
8th
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8 is the natural number following 7 and preceding 9. 8 is, a number, its proper divisors being 1,2. It is twice 4 or four times 2, a power of two, being 23, and is the first number of the form p3, p being an integer greater than 1. The first number which is neither prime nor semiprime, the base of the octal number system, which is mostly used with computers. In octal, one digit represents 3 bits, in modern computers, a byte is a grouping of eight bits, also called an octet. A Fibonacci number, being 3 plus 5, the next Fibonacci number is 13. 8 is the only positive Fibonacci number, aside from 1, the order of the smallest non-abelian group all of whose subgroups are normal. The dimension of the octonions and is the highest possible dimension of a division algebra. The first number to be the sum of two numbers other than itself, the discrete biprime 10, and the square number 49. It has a sum of 7 in the 4 member aliquot sequence being the first member of 7-aliquot tree. All powers of 2, have a sum of one less than themselves. A number is divisible by 8 if its last 3 digits,8 and 9 form a Ruth–Aaron pair under the second definition in which repeated prime factors are counted as often as they occur. There are a total of eight convex deltahedra, a polygon with eight sides is an octagon. Figurate numbers representing octagons are called octagonal numbers, a polyhedron with eight faces is an octahedron. A cuboctahedron has as faces six equal squares and eight regular triangles. Sphenic numbers always have exactly eight divisors, the number 8 is involved with a number of interesting mathematical phenomena related to the notion of Bott periodicity. For example, if O is the limit of the inclusions of real orthogonal groups O ↪ O ↪ … ↪ O ↪ …. Clifford algebras also display a periodicity of 8, for example, the algebra Cl is isomorphic to the algebra of 16 by 16 matrices with entries in Cl