总结英文数字

数字相关英文知识点总结1. Number Systems:a. Decimal (base 10) systemb. Binary (base 2) systemc. Octal (base 8) systemd. Hexadecimal (base 16) system2. Types of Numbers:a. Natural numbersb. Whole numbersc. Integersd. Rational numberse. Irrational numbersf. Real numbersg. Complex numbers3. Operations on Numbers:a. Additionb. Subtractionc. Multiplicationd. Divisione. Exponentsf. Square roots4. Number Properties:a. Commutative propertyb. Associative propertyc. Distributive propertyd. Identity propertye. Inverse property5. Prime Numbers:a. Definition and propertiesb. Prime factorizationc. Sieve of Eratosthenes6. Divisibility:a. Divisibility tests for numbersb. Factors and multiplesc. Greatest common divisor (GCD)d. Least common multiple (LCM)7. Fractions and Decimals:a. Converting between fractions and decimalsb. Simplifying fractionsc. Operations on fractions and decimalsd. Equivalent fractions8. Percentages:a. Converting between percentages and decimals or fractionsb. Percentage changec. Percentage increase and decreased. Applications of percentages in real lifeAdvanced Concepts:1. Number Theory:a. Divisibility rulesb. Modular arithmeticc. Congruence relationsd. Fermat's little theoreme. Euler's totient function2. Irrational Numbers:a. Definitionb. Properties of irrational numbersc. Proof of the irrationality of certain numbers (e.g. square root of 2, e, pi)3. Complex Numbers:a. Definition and propertiesb. Operations on complex numbersc. Complex plane and polar formd. Applications of complex numbers in mathematics and physics4. Number Sequences and Series:a. Arithmetic sequencesb. Geometric sequencesc. Fibonacci sequenced. Convergent and divergent seriese. Summation notation5. Number Patterns:a. Pascal's triangleb. Fibonacci sequencec. Geometric patternsd. Patterns in prime numbers6. Number Systems in Computing:a. Binary and hexadecimal representationb. Fixed-point and floating-point representationc. Binary arithmeticd. Two's complement representation7. Number Systems in Cryptography:a. RSA algorithmb. Modular exponentiationc. Primality testingd. Discrete logarithm problem Applications:1. Financial Mathematics:a. Simple interest and compound interestb. Amortization schedulesc. Present value and future valued. Annuities and perpetuities2. Statistics and Probability:a. Mean, median, and modeb. Standard deviation and variancec. Probability distributionsd. Expected value and variance3. Geometry and Trigonometry:a. Pythagorean theoremb. Trigonometric functionsc. Area and volume calculationsd. Coordinate geometry4. Physics and Engineering:a. Calculus and differential equationsb. Vector mathematicsc. Fourier series and transformsd. Complex exponentials5. Computer Science:a. Data representation and bit manipulationb. Algorithms and data structuresc. Boolean algebra and logic gatesd. Cryptography and security6. Cryptography and Number Theory:a. Public key encryptionb. Digital signaturesc. Cryptographic hash functionsd. CryptanalysisConclusion:In conclusion, understanding the fundamentals of numbers and their properties is essential in various fields such as mathematics, science, engineering, finance, and technology. From basic arithmetic to advanced number theory, the applications of numbers are vast and diverse. Whether it's calculating interest on a loan, analyzing data in statistics, solving equations in physics, or encrypting data for security, numbers play a crucial role in our everyday lives. Mastering the concepts and applications of numbers can lead to a deeper understanding of the world around us and open doors to new opportunities and discoveries.。

英文数字读法归纳总结一、美国和英国的货币说法:1、美国货币　美国货币由美元dollar和美分cent组成,one dollar等于100 cents.其纸币bill有一、二、五、十、二十、五十和一百美元等面值；硬币(coin)有一美分(或a penny)、五美分(或a nickel)、十美分(或a dime)和二十五美分(或a quarter)等. 在数字前加$表示美元,如:$500表示五百美元；在数字后加C表示美分,如:50C表示50美分；表示由美元和美分组成的钱数时,常用$表示,如:$6．25----six dollars (and) twenty-five (cents)2、英国货币　英国货币由英镑(pound)和便士(pence)组成,也分为纸币note 和硬币coin.纸币有面值五镑、十镑、二十镑和五十镑；而硬币,即金属货币有一便士、二便士、五便士、十便士、二十便士、五十便士和一镑等.若指一定数额的硬币,通常用piece,如2P(pieces)；随身带的硬币可用change表示. 100 pence等于1 pound. 在数字前加￡表示多少英镑,如:￡800为800英镑；在数字后加P表示多少便士,如:5P表示五便士(penny的复数)；表示由英镑和便士组成的钱数时通常不说出pence,如3镑50便士可说成￡3．50或three pounds and fifty二、英美数字读法的差异：英国英语在百位和十位之间加读“and”, 而美国英语往往不用“and”.如754这个数字.英国人读成seven hundred and fifty-four,而美国英语则读为seven hundred fifty-four.三、熟读牢记关键数字，迅速无误识别数字的前提是必须能够流利地读出数字.要从读两位数起,然后练习读三位和四位数乃至五位或六位以上的数字. 其中两位和三位数的读法是读所有数字的基础.英文数字中的每一个逗点的读法也要牢记:有一个逗点读“thousand”,两个逗点读“million”,三个逗点读“billion”.还要清楚,每个逗点间由三位数组成. 英文数字中的第四位数、第七位数、第十位数是很关键的数位. Examples: 1,234 读作:one thousand, two hundred and thirty-four。

数字、日期、时间、金额英文表达方式总结基数词0 zero 1 one 2 two 3 three 4 four5 five6 six7 seven8 eight9 nine10 ten 11 eleven 12 twelve 13 thirteen14 fourteen 15 fifteen 16 sixteen17 seventeen 18 eighteen 19 nineteen20 twenty 21 twenty-one 22 twenty-two23 twenty-three30 thirty 32 thirty-two 40 forty50 fifty 60 sixty70 seventy 80 eighty 90 ninety100 one hundred 101 one hundred and one156 one hundred and fifty-six192 one hundred and ninety-two200 two hundred 300 three hundred400 four hundred 500 five hundred ......1,000 one thousand1,001 one thousand and one1,300 thirteen hundred; one thousand and three hundred2,000 two thousand2,034 two thousand and thirty-four6,502 six thousand five hundred and two45,672 forty-five thousand six hundred and seventy-two500,000 five hundred thousand1,000,000 one million3,123,400 three million, one hundred and twenty-three thousand and four hundred 8,000,000 eight million47,000,000 forty-seven million900,000,000 nine hundred million1,000,000,000 a milliard, one milliard(美作:a billion, one billion)1,050,000,000 one billion and fifty million10,000,000,000 ten billion200,000,000,000 two hundred billion1,000,000,000,000 one thousand billion(美作:a trillion, one trillion)序数词first第一second第二third第三fourth第四fifth第五sixth第六seventh第七eighth第八ninth第九tenth第十eleventh第十一twelfth第十二thirteenth第十三fourteenth第十四fifteenth第十五sixteenth第十六seventeenth第十七eighteenth第十八nineteenth第十九twentieth第二十twenty-first第二十一twenty-second第二十二twenty-third第二十三thirtieth第三十thirty-first第三十一fortieth第四十fiftieth第五十sixtieth第六十seventieth第七十eightieth第八十ninetieth第九十(one)hundredth第一百(one)hundred and first第一百零一hundred and thirty-fourth第一百三十四two-hundredth第二百three-hundredth第三百four-hundredth第四百five-hundredth第五百six-hundredth第六百seven-hundredth第七百eight-hundredth第八百nine-hundredth第九百(one)thousandth第一千thousand and first第一千零一two thousand and thirty-fourth第二千零三十四ten thousandth第一万(one)millionth第一百万(美作:billionth) billionth第十亿(美作:trillionth)分数1/2 : one-half; a half 1/3 : one-third3/4 : three-fourths 1/5 : one-fifth2/5 : two-fifths 1/10 : one-tenth; a tenth1/100 : one-hundredth; one per cent1/1000 : one-thousandth1/10000 : one ten-thousandth100% : one hundred per cent0.5% : point five per cent0.46% : point four six per cent2.05 : two point nought five; two point O five6.003 : six point nought nought three; six point O O three78.12 : seventy-eight point one two日期的表示法日期的写法(书面语)和读法(口语)稍有不同,如“十月一日”可以写成October 1, October 1st,1 October, 1st October, (the) 1st of October 等,表示月份的词也可用缩略式,如Oct. 1, 1 Oct.,但是在口语中通常只有两种读法October (the) first或the first of October。

英语数字总结English NumeralsIntroduction:English numerals are a system of writing numbers using the ten digits (0-9) and a combination of words and symbols. This system is widely used in English-speaking countries and follows a similar pattern as other Indo-European languages. In this article, we will delve into the various aspects of English numerals, including cardinal and ordinal numbers, fractions, decimals, and their usage in different contexts.Cardinal Numbers:Cardinal numbers are used to denote the quantity or number of objects. They are written as a sequence of digits and can range from zero to infinity. The basic cardinal numbers are represented as follows:0 - zero1 - one2 - two3 - three4 - four5 - five6 - six7 - seven8 - eight9 - nine10 - ten11 - eleven12 - twelve13 - thirteen14 - fourteen15 - fifteen16 - sixteen17 - seventeen18 - eighteen19 - nineteen20 - twentyFrom twenty-one to ninety-nine, numbers are formed by combining the tens digit with the ones digit. For example, twenty-one, thirty-two, forty-five, etc. Finally, for numbers greater than 99, the hundreds, thousands, and millions places are added accordingly. For instance, 100 is written as one hundred, 1000 as one thousand, and 1,000,000 as one million.Ordinal Numbers:Ordinal numbers represent the position or order of objects in a series. They are formed by adding the suffix '-th' or '-st', '-nd', '-rd', or 'th' to the cardinal number. For example:1st - first2nd - second3rd - third4th - fourth5th - fifth6th - sixth7th - seventh8th - eighth9th - ninth10th - tenthFor numbers that end in 1, 2, or 3, except for 11th, 12th, and 13th, the '1st', '2nd', and '3rd' endings are replaced with 'st', 'nd', and 'rd'. From the number four onwards, the '-th' ending is used. Fractions:Fractions are used to represent a part or division of a whole. They are expressed as a fraction line (/) between the numerator and the denominator. Some commonly used fractions in English include: 1/2 - one-half1/3 - one-third1/4 - one-fourth1/5 - one-fifth1/6 - one-sixth1/8 - one-eighth1/10 - one-tenth1/100 - one-hundredthTo form fractions above one, the cardinal number is used before the fraction, followed by the word 'and'. For example, 2 1/2 is written as two and one-half.Decimals:Decimals are used to express a part of a whole number or a fraction in decimal form. The decimal point (.) is used to separate the whole number and the fractional part. Some examples of decimal numbers include:0.1 - zero point one0.25 - zero point twenty-five0.5 - zero point five0.75 - zero point seventy-five1.5 - one point five2.25 - two point twenty-five3.14 - three point fourteenDecimal numbers greater than one are pronounced as whole numbers followed by 'point' and the decimal part.Usage in Different Contexts:English numerals are used in various contexts in everyday life. They are essential for counting, measuring, telling time, expressing dates, and more. For instance:- Counting: One, two, three, four, etc.- Measurements: Length, weight, volume, temperature, etc.- Time: Hours, minutes, seconds, etc.- Dates: Days, months, years, etc.- Money: Dollars, cents, pounds, pence, etc.- Telephone numbers: Digits used to dial and contact people. Conclusion:English numerals form the foundation of number representation in the English language. They are crucial for communication, understanding quantities, and navigating through various aspects of daily life. By familiarizing oneself with the cardinal and ordinalnumbers, fractions, and decimals, one can master the art of using English numerals with ease and confidence.。

Unit Nine Interpreting Academic SpeechesEnglish to ChineseMethods and Skills ---- Interpreting NumbersTen thousand 万hundred thousand 十万Ten million 千万hundred million 亿三位以内数字的口译：Three hundred and seventyEight hundred and thirty-nine2.卩q位以上数字的口译：第一个逗号前一位译成千，前两位译成万，前三位译成十万;第二个逗号前一位译成百万，前两位译成千万，前三位译成亿；第三个逗号前一位译成十亿，前两位译成百亿，前三位译成千亿.1,369■…one thousand three hundred and sixty nine6,003——six thousand and three15,600-…fifteen thousand six hundred75,426,391■—seventy five million, four hundred and twenty six thousandjhree hundred and ninety one 564,000,000…five hundred and sixty four million1,250,000,000…one billion two hundred and fifty million3.模糊数字的口译：几个：some,a few, several 两,三个：two or three十几彳J：more than ten;over a dozen 三十来T'about thirty几十个：dozens of 几十年：decades十几岁：in one's teens 四十出头:a little over forty五十岁左右：about fifty 近八十岁了：almost eighty九十好几了： well over ninety 五点左右:around five o'clock三天左右：three days or so 大约150 米处：somewhere about 150 meters 好几百：hundreds of 成千上万：thousands of几十万：hundreds of thousands of 几百万：millions of亿万：hundreds of millions of4.百分数，小数，分数的口译：8%: eight percent 15%: fifteen percent4.35%: four point three five percent0.5%: zero point five percent4.032: four point naught three two71.006: seventy one point naught naught sixVr. one half 1/3: one third 3/5: three fifths7/8: seven eighths 1/100: one hundredth1/1000: one thousandth 14/1000: fourteen thousandths1/10000: one ten thousandths 2-1/2: two and a half4-2/3: four and two thirds5.增减倍数的口译：Ais N limes larger (longer, heavier・・.)than BA is larger (longer, heavier.…)thanB by N timesA is N times as large (long, heavy...) as BThe earth is 49 times the size of the moon. 地球的大小是月球的49倍.Since mid-century, the global economy has nearly quintupled, while the population has doubled, demand for grain has nearly tripled, and the burning of fossil fuels has increased nearly fourfold・自本世纪屮叶以来，全球经济增长了将近四倍，人口翻了一番.结果，粮食的需求增加了近两倍，石油燃料增加了近三倍.Within 30 years there will be twice as many urban people as countryside people in the world・ 30年内,全世界的城市居民将是农村人口的两倍.4.Although London covers less than 400,000 acres, it needs nearly 50 million acre™125 times its area—to provide it with food, timber, and other resources, and to absorb its pollution.虽然伦敦占地不到40万英亩，却需要近5000万英亩的土地125倍于它本身的面积…来供给它食品，原木和其他资源，并吸收它生产的污染物.汉语倍数表示法分两类：一类是原数的几倍,几倍于原数或增加到几倍;另一类是比原数大几倍或增加了儿倍，可用（N加I）times来表示.过去20年中，中国的国内生产总值增长了近五倍.In the past 20 years,China^s gross domestic product increased nearly six times・2.1978年至1997年，中国人均生产总值增长了3.4倍.China's per capita GDP went up by 4.4 times between 1978 and 1997.3.中国城镇居民人均居住面积由1978年的3.6平方米提高到1997年的8.8平方米，增加了1.4 倍.The per capita living space for urban residents in China expanded from 3.6 square meters in 1978 to 8.8 square meters in 1997, a rise of 2.4 times・4.1949年至1998年,中国的粮食总产量由1.1亿吨增加到5.1亿吨，增长3.5倍，年平均增长3.1%, 是人口增长率的2.5倍.China's total grain output increased from 110 million tons in 1949 to 510 million tons in 1998, or an increase of over 4.5 times, with an average annual growth rate of 3.1 percent, 2.5times that of the population growth・汉语很少用减少了若十倍的说法,而用减少了百分之几的说法，所以减少多用百分比和分数表■ •由于水灾，去年的收成减少了三成.Owing to flood, the crop last year was declined by 30 percent.2.该公司的员工裁减了近三分之一，开支减少了四分之一.The personnel of the company have been reduced nearly by one third and the expenses by one fourth ・6.增减百分比的口译：Between 1986 and 1987, Nike's sales dropped 18 percent and profits sank by more than 40 percent as a result of competition with Reebok.与“锐步”鞋业竞争的结果，从1986年到1987年，耐克的销售额下降了18%,利润下降了40% 多.2.By putting out more than one new shoe style every day on average, in 1995 and 1996, Nike\ sales and profits grew 71 percent and 80 percent respectively? meanwhile, Nike's closest rival Reebok grew just nine percent in the same period・靠平均每天推出一个以上新款式,1995年到1996年耐克的销售额和利润分别上涨了71% 和81%.而同期最接近耐克的竞争对手锐步貝上涨了9%.3.Procter& Gamble just raised prices on its paper products by as much as 8%・宝洁公司刚刚把他们的纸制晶价格提高了8%.4.1999年，普通高校招生规模比上年阔大了47.4%.University and college enrollment in 1999 increased by 47.4 percent over the previous year.5.因受亚洲金融危机的冲击,1998年中国进岀口总额比上年下降0.4%,其中进口总额下降1.5%; 出口总额增长0.5%.As a result of Asian financial crises, China's total volume of import and export in 1998 dropped by 0.4 percent over the previous year, of which the volume of import went down by 1.5 percent, and the value of export went up by 0.5 percent.6.1999年冲国外贸出口达1949亿美元，比上年增长6.1%.China's total exports reached UA$194,9billion in 1999, a rise of 6」percent over the precious year.7.1998年,中国全年海外旅客入境人数6348万人次，比上年增长10.2%同际旅游收入达126亿美元，增长4.4%.In 199& China received 63.48 million tourists from overseas, up 10.2 percent over the previous year. Income of foreign exchange from tourism reached 12.6 billion US dollars, up 4.4 percent.8.我国水土流失面积每年以10,000平方公里的速度在扩大.目前，水土流失面积已达367万平方公里，占总土地面积将近38%.The area of soil erosion in China has been increasing by 10,000 square km. Annually to 3.67 million square km. At present, accounting for nearly 38 percent of the total land area・9.由于低温多雨的影响，我国夏粮减产1460万吨.China's output of summer grain declines by 14.6 million tons due lo low temperature and rainy days during the growing period・Exercises:With its two giants, China and India, Asia is the home of the majority of the world's 6 billion human inhabitants, and Africa the second most popular con tine nt. The UN population fund said in its 1998 report on population growth, Asia counts 3.5 billion people・ Its most populous countries are China, with 1.2 billion plus another 6.3 million in Hong Kong and India with 975.8 million, followed far behind by Indonesia with 125.9 million and Bangladesh with 124 million.Nigeria is Africa's most populous country with 121.8 million residents. Egypt is next with 65.7 million, followed by Ethiopia with 62」million, the Democratic Republic of Congo with 49.2 million, and South Africa with 44.3 million.Exercises:With its two giants, China and India, Asia is the home of the majority of the worlds 6 billion human inhabitants, and Africa the second most popular con tine nt. The UN population fund said in its 1998 report on population growth, Asia counts 3.5 billion people. Its most populous countries are China, with 1.2 billion plus another 6.3 million in Hong Kong and India with 975.8 million, followed far behind by Indonesia with 125.9 million and Bangladesh with 124 million.Nigeria is Africa's most populous country with 121.8 million residents. Egypt is next with 65.7 million, followed by Ethiopia with 62」million, the Democratic Republic of Congo with 49.2 million, and South Africa with 44.3 million.3.The European continent counts 729.4 million residents, with Russia still the most populous country at 147.2 million, though its population growth is declining. Germany is next with 82.4 million.4.祖国大陆31个省，自治区,直辖市和现役军人的人口中,0・14岁的人口为28979万人.占总人口的22.89%; 15-64岁的人口为88793万人，占总人口的70.15%;65岁及以上的人口为8811万人，占总人口的6.96%.同1990年第四次全国人口普查相比,0-14岁人口的比重下降了4.80个百分点,65 岁及以上人口的比重上升了1.39个百分点.5.同1990年第四次全国人口普查相比，每10万人中拥有各种受教育程度的人数有如下变化：具有大学程度的由1422人上升为3611人;具有高中程度的由8039人上升为11146人;具有初中程度的由23344人上升为33961人;具有小学程度的37057人下降为55701人.。

【英语】数词知识点总结一、初中英语数词1．In our class of the students girls.A. third fifths; isB. third fifth; areC. three fifth; isD. three fifths; are【答案】 D【解析】【分析】句意：我们班五分之三的学生是女生。

分数表达方式：分子要用基数词，分母要用序数词，当分子超过一时，分母后要加s。

五分之三的正确表达是three fifths；带有分数的短语作主语时，谓语动词由分数后面的名词形式来决定，students是复数形式，谓语动词要用are，故选D。

【点评】考查分数的基本构成。

注意其作主语时谓语动词形式的选择。

2．The TV was invented around .A. the twenty centuryB. the twentieth centuryC. twentieth centuryD. twenty century 【答案】 B【解析】【分析】句意电视大约是在二十世纪发明的。

二十世纪也就是第二十个世纪，因此使用序数词，序数词前必须使用定冠词the，故答案是B。

【点评】考查数词，注意序数词再具体语境中的运用。

3．—How old is your daughter?— ______. We had a special party for her ______ birthday yesterday.A. Nine; nineB. Nine; ninthC. Ninth; ninthD. Ninth; nine【答案】 B【解析】【分析】句意：——你的女儿多大了？——九岁，昨天我们给她过了一个特殊的九岁的生日聚会。

第一空说明年龄，应使用基数词，第二空说明的是第几个生日，使用序数词，故答案是B。

【点评】考查数词，注意基数词和序数词的用法。

4．—What day is the ______ day of the week?—It's Friday.A. fifthB. fiveC. sixD. sixth【答案】 D【解析】【分析】句意：——一周的第六天是星期几？——星期五。

11到20的英文单词表
摘要：
一、前言
二、11到20的英文单词列表
1.11 - eleven
2.12 - twelve
3.13 - thirteen
4.14 - fourteen
5.15 - fifteen
6.16 - sixteen
7.17 - seventeen
8.18 - eighteen
9.19 - nineteen
10.20 - twenty
三、总结
正文：
【前言】
在英语中，数字11到20的单词表达有一定的规律。

为了帮助大家更好地掌握这些单词，本文将列举这些数字的英文表达，并总结它们的规律。

【11到20的英文单词列表】
1.11 - eleven
2.12 - twelve
3.13 - thirteen
4.14 - fourteen
5.15 - fifteen
6.16 - sixteen
7.17 - seventeen
8.18 - eighteen
9.19 - nineteen
10.20 - twenty
【总结】
通过以上列举的11到20的英文单词，我们可以发现以下规律：
1.十位数都是"teen"，个位数是1到9的单词；
2.除了13、15、18外，其他的数字都是“teen”加上个位数；
3.13、15、18的单词表达与其他数字有所不同，分别为thirteen、fifteen和eighteen。

掌握这些规律，有助于我们更快地记住11到20的英文单词。

一、数字英语的基本概念数字英语是指将阿拉伯数字(0, 1, 2, 3, 4, 5, 6, 7, 8, 9)转换成英语单词。

在英语写作和口语表达中，数字英语的使用非常普遍，特别是在书面表达中更是需要准确掌握。

数字英语的写法不仅影响到文章的整体美观度，还能深刻反映作者的语言功底和文字功夫。

二、数字英语的基本规则1. 0 → zero2. 1 → one3. 2 → two4. 3 → three5. 4 → four6. 5 → five7. 6 → six8. 7 → seven9. 8 → eight10. 9 → nine以上是阿拉伯数字到英语单词的基本转换规则，这些规则应该是英语学习的基础，同时也是书写和表达中不可或缺的一部分。

三、数字英语的四线三格写法在日常写作中，我们常常需要将数字转换成英语单词进行书写。

为了使得文章更加整洁、美观，我们有时会采用四线三格的写法来书写数字英语。

四线三格写法是将数字英语的每个字母分开，四线是指横线、竖线和两条斜线，三格是指由这四条线所构成的三个不同空间。

四、四线三格写法的示范以数字英语单词"four"为例，将其写成四线三格的形式如下所示：```four```通过四线三格的写法，数字英语在书写时更加清晰、整洁，方便读者阅读和理解。

五、四线三格写法的应用场景1. 学术论文：在论文中经常涉及到数字的表达，采用四线三格的写法可以增加文章的整体美观度，提升专业度。

2. 广告宣传：在广告宣传中，数字英语的书写直接影响到宣传效果，采用四线三格写法可以使得信息更加清晰易懂。

3. 教育培训：在教育培训领域，数字英语的书写规范对学生的语言习惯和文字功底有着积极的影响，四线三格写法可以帮助学生规范书写。

六、四线三格写法的技巧和注意事项1. 确保每个字母在四线三格中占据的位置整齐划一，保持横线、竖线和斜线的一致性。

2. 注意字母之间的间距，保持适当的间隔，避免出现拥挤或者空隙过大的情况。