Free Essay

Essay

In:

Submitted By rhea3
Words 1365
Pages 6
Chronology of calculator developments. | Year | Major
Development | Mechanical Calculators | Electronic Calculators | Ancient times | | The abacus is the main aid to calculation. | | c1600 | | "Napier's bones" invented by John Napier for multiplication, based on the ancient numerical scheme known as the Arabian lattice. | | 1620 | Slide rule. | William Gunter developed a logarithmic rule for multiplication and division using dividers, which was the forerunner of the slide rule. | | 1622 | | William Oughtred invented the circular slide rule, and in 1633 described the rectilinear version. | | 1623 | First mechanical calculator. | Willhelm Schickard invented the "Calculating Clock", the first mechanical calculator. It used a version of Napier's bones for multiplication with a mechanical adding/subtracting calculator based on gears, with mutilated gears for carry. | | 1642 | | Blaise Pascal started to develop a mechanical calculator - the Pascaline. Capable of addition, subtraction was performed by nines-complement addition, and multiplication was performed by repeated additions and subtractions. It had shortcomings and failed to sell. | | c1673 | | Gottfried Leibniz developed the Stepped Reckoner using stepped gear wheels. Performed the 4 functions, but worked erratically due to an error in the carry mechanism, none sold. | | 1820 | | Charles Xavier Thomas's Arithmometer. | | 1851 | | Victor Schilt exhibited a key-driven adding machine at the Crystal Palace Exposition in London. | | 1853 | | The Scheutz Difference Engine completed: the world's first printing calculator. | | 1872 | Start of period of development of commercially successful mechanical calculators. | Frank Baldwin in the USA invents the pin-wheel calculator. | | 1874 | | W.T. Odhner in Sweden independently develops the pin-wheel calculator, the first of the long series of Odhner calculators . Since then, many calculating machines have used the same principle. | | 1878 | | The first direct multiplication machine was built by Raymond Verea. | | 1884 | | Dorr E. Felt invents theComptometer, the first succesfull key-driven adding and calculating machine. In 1886 he joined with Robert Tarrant to form the Felt & Tarrant Manufacturing Company which went on to make thousands of Comptometers . | | 1891 | | William S. Burroughs began commercial manufacture of his printing adding calculator. | | 1893 | | Millionaire calculator introduced. It allowed direct multiplication by any digit - "one turn of the crank for each figure in the multiplier". | | 1902 | | The Dalton adding-listing machine was the first of its type to use only ten keys - first 10-key add-lister. | | 1900
-
1975 | Steady development of mechanical calculators - size reduction, electric motor drive, added features (eg. automatic multiplication & division). | Madas 20BZS , a typical electrically driven, stepped-gear calculator with automatic multiplication and division. | | 1948 | | Curta miniature hand-held mechanical calculator introduced. One of the few major innovations in mechanical calculators in the mid 20th century. | | 1961 | The first electronic desktop calculators. They use vacuum tubes. | | The world's first electronic desktop calculators were announced by the Bell Punch Co., Uxbridge, England - theAnita Mk VII for the continental European market and theAnita Mk 8 for other markets. These models used cold-cathode vacuum tubes and numerical display ("Nixie" type) tubes. | 1962 | Development work on transistorised desktop calculators. | | The Philips company shows prototype 3-function (no division) transistor desk calculator and electronic "Comptometer" type machines. These were to demonstrate what could be achieved with Philips semiconductors and were not sold commercially | 1963
-
1964 | First commercial transistorised desktop calculators. | | First commercial all-transistor desktop calculators: Friden EC130 & EC132 ,Mathatron, IME 84 ,Sharp CS10A .Prices comparable to that of family cars. | 1965 | Start of development of hand-held electronic calculators. | | Texas Instruments starts development work on a hand-held calculator - the"Cal-Tech". | 1969 | First battery powered, hand-held, electronic calculator. | | First calculator using just LSI (Large Scale Integration) chips - Sharp QT-8D , with ICs by Rockwell. Size & weight much reduced, calculator now portable.First battery powered, hand-held calculator - Sharp QT-8B .Green fluorescent tube displays introduced . | 1970 | Hand-held calculators take off.First shirt pocket sized electronic calculator.All very expensive. | | Some of the first hand-held calculators:
Canon Pocketronic ,Sanyo ICC-0081 ,Sharp EL-8 , but very expensive.First use of "calculator on a chip" introduced by Mostek of Dallas - used in Busicom Junior (desk calculator) and allows the production of the first shirt pocket sized electronic calculator, the Busicom LE-120A .First use of LED (Light Emitting Diode) displays used in Busicom LE-120A. | 1971 | First calculator to use a microprocessor. | | First microprocessor - Intel 4004 - was designed for and used in Busicom 141-PF desk calculator. | 1972 | Rapid development of electronic calculators, and reduction in price. | | First scientific pocket calculator introduced - Hewlet-Packard HP35 .Ultra-thin Sinclair Executive launched.Many new companies entering the calculator business and prices dropping rapidly.LCD (Liquid Crystal Device) displays appear briefly in a version giving silver-reflective numbers, including:
Lloyds Accumatic 100 ,Rapidman 1208LC .The Sharp EL-801 sees the first use of C-MOS (Complementary Metal-oxide Semiconductor) integrated circuits in a calculator. | 1973 | | | First Sharp "COS" (Crystal on Substrate) reflective LCD calculators, including EL-805S . | 1974 | | | Texas Instruments awarded patent for "miniature electronic calculator", based on the "CalTech" (see 1965).The Hewlett Packard HP65 is the first hand-held programmable calculator. | 1975 | Mechanical calculator manufacture has practically ceased.
Mass production makes electronic calculators very cheap. | Mechanical calculator sales practically zero. | Price of basic pocket calculators now very low, many companies leave the market due to lack of profits. | 1976 | | | LCD (Liquid Crystal Display) displays (with black numbers) taking over from red LED (Light Emitting Diode) and green fluorescent tube displays in calculators due to their very low power consumption, large numbers, and high contrast. | 1978 | First solar-powered and first credit card sized calculators. | | The first solar powered calculators were introduced, the Royal Solar 1, Teal Photon , and Sharp EL-8028.The Casio Mini Card LC-78 is the first credit card sized calculator. | 1980 | First hand-held computer | | The Sharp PC1211 / Tandy TRS80 PC-1 is the first hand-held computer; it has a QWERTY keypad and runs the BASIC language. |
The history behind the calculator and how it has evolved. In modern times such as today, we use calculators for doing math homework, complicated equations and to calculate trends and predictions. However, calculators weren’t always as easy as a press of a button. Lets take a look at how calculators used to be and how they evolved over time.
In the early days (2000 B.C), Egyptians created the calculator or as they called it, “the abacus”, as a mathematical system used to calculate arithmetic tasks. An abacus looked like a wide wooden ladder with beads used to represent ones, tens, hundreds and so on. Over about 1750 years (150-100 B.C),Greeks created a calculator that evolved from an arithmetic system toward astronomic (scientific star and constellation study) needs. They created the first analog computer. The analog computer was pretty much a extremely accurate form of engineering used to predict the exact locations of the Sun, Moon , and other planets. The calculator really began to develop in the 17-19 century (1600-1899 A.D).In the early 1600s, A Scottish math wizard named John Napier created Napier’s bones( a multiplicative and divisive system sort of like an abacus named after himself). It was very important because it could be used (and is still used today) to calculate large numbers instead of adding repeatedly. The upper triangles in the boxes were tenths and the lower triangles were ones.

Over 1800-1899 there were a plethora of mathematical systems that included adding, subtracting, multiplication, and division in one. Over time, they made re-models and changes so it would be easier to come up with calculations.
From 20th century to the present, 1900s-(Current time) Calculators have been changed to do even more (such as find square roots and calculate more than one operation at a time). Calculators have also been made faster and more portable. Instead of sliding beads or punching in numbers one at a time, we now select a number and an operation and we have our solution.
Summary-
The way we use calculators today weren’t always the same as earlier people used. There were a myriad of systems and ways people used their technology to improve their lives, explain science, and create the system of money. Whether you slide beads, or press buttons, math has always been around.

Similar Documents

Premium Essay

Essay

...1 Overview of How to Write an Essay Writing essays is a major element of your education at the university level. Effective writing gives you the ability to express your ideas, theories, arguments, and projects clearly. The skills you acquire at the university level through writing essays will be aimed at practical business applications that you will be able to use in the workplace. The following information provides a succinct overview of the elements you need to know to begin writing an essay. It will help you on your writing journey. Types of Essays Narrative A narrative essay is a story told by a narrator. Generally, a narrative discusses the personal experience of the author (the first person point of view), but it can also be written about things that happen to others (third person point of view). A narrative typically involves characters, a setting, specific and vivid details, and a series of events that can include current incidents, flashbacks, or dialogue. Cause and Effect A cause and effect essay explores why events, actions, or conditions occur (cause) and examines the results of those events, actions, or conditions (effect). For example, a cause could be purchasing a new expensive home. The effect might be fewer family vacations, more time spent on upkeep, or less time with family because of extra work hours to pay for the home. Comparison and Contrast A comparison and contrast essay shows the relationship between two or more elements. The items can be compared...

Words: 6215 - Pages: 25

Premium Essay

Essay

...How to determine custom essay editing company that is legitimate This is the company you will find great editors to provide you with custom essay editing service. Students whose first language is not English may find speaking and writing in English as a difficult task for them. Most of these students are international students who have enrolled in various universities in America and in the UK. The main teaching language is English, American and Standard English respectively. It is essential for students to master well the language of instruction because it is a medium through which they are required to write their assignments and speak in classroom. Competence and fluency in English language will help students to read and understand the teaching material provided to them. It is important therefore for students to ask for support from custom essay editing services which deal with the tips of writing good essays among other academic papers and also to write for them assignment essays. Our writing and editing services is created both for students and professionals. We deal with both the non academic and academic editing and writing services to fulfill your needs. At our custom essay editing, you will find editors who are qualified in linguistics and English language. We are ready to provide you the custom essay editing service at any time of the day or night because we operate as a 24/7 service. Our custom essay editing service comprises of creative thinkers, skillful editors...

Words: 574 - Pages: 3

Premium Essay

Essay

...An essay is usually a short piece of writing. It is often written from an author's personal point of view. Essays can be literary criticism, political manifestos, learned arguments, observations of daily life, recollections, and reflections of the author. The definition of an essay is vague, overlapping with those of an article and a short story. Almost all modern essays are written in prose, but works in verse have been dubbed essays (e.g. Alexander Pope's An Essay on Criticism and An Essay on Man). While brevity usually defines an essay, voluminous works like John Locke's An Essay Concerning Human Understanding and Thomas Malthus's An Essay on the Principle of Population provide counterexamples. It is very difficult to define the genre into which essays fall. Aldous Huxley, a leading essayist, gives guidance on the subject: Like the novel, the essay is a literary Abstract This article will examine the reasons why it is important both linguistically and psychologically to build a vocabulary quickly when learning a foreign language. The article asserts that very little can be achieved or learned in a foreign language with a small vocabulary and that by building a sizable vocabulary quite quickly one can soon be able to function adequately. You may also wish to look at http://www.jalt-publications.org/tlt/files/95/feb/meara.html   Introduction   It is obvious that in order to learn a foreign language one needs to learn many many words. But how many? Educated...

Words: 332 - Pages: 2

Premium Essay

Essay

...There are some teachers who are going to require you to write a 250 word essay. Actually, it is a very short essay for that matter but for some students, it may also be a burden to have a word limit in writing. Let us take a look at the scenarios that you need to understand to compose a well developed essay. For some students, it may be limiting to have a word factor quota in writing an article. There are some individuals who can tell more out of a topic and that having 250 words will not suffice to tell everything in their minds. That is why you need to have the skills in budgeting the words that you have to write without sacrificing the ideas that you have to deliver. There are different essay types that you also need to consider so having a word limit cannot simply be an easy task. Still for some students, a 250 word essay may mean too much because there are also some people who do not want to waste their time writing. No matter what the essay structure may be, these types of people are not really eager to translate their thoughts to written form so they think 250 words simply equates to too much work. Anyway, you need to understand that having this kind of limit will eventually benefit the students as they improve their discipline, being responsible and being resourceful individuals. We can offer you to buy essays from us so you do not have to worry about the number of words in writing. Let our writers make your life easier...

Words: 273 - Pages: 2

Free Essay

Essay

...I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real essay I’m sorry this is not a real...

Words: 256 - Pages: 2

Premium Essay

Essay

...Process and Procedure Essay Samples are Helpful Guides in Writing Saturday, June 20th, 2009 Process and Procedure Essay Samples will Assist You in Understanding this Essay Format First of all let’s find out what essay is called process and procedure essay. It is an essay which sometimes called “how to” essay for it guides in certain activities or gives instructions as how to do some job (procedure) or complete a certain task. When you feel difficulty with this essay type, you can find process and procedure essay samples which can give you useful tips into creating an essay which will be have high rating. Process and procedure essay outlining certain procedures or directions to perform certain activity is an important task if one needs to learn how to compile clear instructions to serve the needs of professionals in different fields. These can be helpful for engineers, teachers, doctors and even housewives when it concerns cook books which are also some kind of instructive writing. Procedure essay writing is a useful skills for managerial personnel as they need to organize people and direct them toward certain activities. Process and procedure essay samples can be found online in abundance. Through these essay examples one can get some notion about procedure writing and take some notes how to complete a good piece of process essay. One may note that procedure can include descriptions, warnings and recommendations to the procedures described. To provide guidelines for...

Words: 539 - Pages: 3

Premium Essay

Essays

...HOW TO READ ESSAYS YOU MUST ANALYZE 1. Take a pencil in your hand. 2. Read the essay over once, quickly, looking for the main idea, for what the essay is about in general, and for what the author seems to be saying. Don't get bogged down in details. (If you come to an unfamiliar word, circle it but go on reading). 3. Check the meaning of unfamiliar words. If they seem to be key words, i.e., if the author uses them more than once, scribble a brief definition at the bottom of the page or at the end of the essay. 4. Now re-read more slowly and carefully, this time making a conscious attempt to begin to isolate the single most important generalization the author makes: his thesis. Follow his line of thought; try to get some sense of structure. The thesis determines the structure, so the structure, once you begin to sense it, can lead you to the thesis. What is the main point the author is making: Where is it? Remember, examples or "for instances" are not main points. The thesis is the generalization the author is attempting to prove valid. Your job, then is to ask yourself, "What is the author trying to prove"? Another way of identifying the thesis is to ask yourself, "What is the unifying principle of this essay"? or "What idea does everything in this essay talk about"? or "Under what single main statement could all the subdivisions fit"? If the author has stated his thesis fully and clearly and all in one place, your job is easier. The thesis is apt to be stated...

Words: 971 - Pages: 4

Premium Essay

Essay

...to write A Level Sociology Essay Assessment With reference to the present AEB syllabus, there are three main skills being assessed in your essays. 1. Knowledge and Understanding (9 marks) 2. Interpretation and Application (9 marks) 3. Evaluation (9 marks) What Does This Mean? What this means is that for writing an essay is that the content (studies, names of researcher, dates, figures, concepts, although important need to be organised coherently, applied to a variety of social situations and interpreted, and expressed in a critical fashion. You must be aware of the skills being highlighted in the question in order to use the appropriate skills in your essays. You should also practice writing essays regularly and develop a technique which addresses the skills required so that you can actually answer the question set. I hope that this handout should allow you to achieve this. Stage One Many students are too quick into diving into an answer. They have focused on certain key terms and ‘assumed’ what the essay requires from a quick look at the question. Instead, the question should be read a number of times. Task One With the title provided. Analyze the question by underlining the key features in the essay title Double underline the skills being assessed, e.g., describe and explain Identify any terms or concepts contained in the question. These terms will need to be defined, i.e. concepts such as interactionists. Essay questions will also include...

Words: 1452 - Pages: 6

Premium Essay

Essay

...This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is my essay. This is...

Words: 401 - Pages: 2

Premium Essay

Essay

...from these events? How have they affected your personality or how you deal with situations now? Remember the focus of the essay is on the contrasting impacts of these events in your life. These events do not have to be major events, they could be minor in nature but their impact on you could be great and long lasting. Undertake the task of pre writing for this topic. Select your two events. Describe them in point form. Consider their diverse impacts on your life. By the end of this class you should have completed your pre writing and make sure you get your sheet signed by me. You have the week to work on your first draft. Those of you who would like to show me the first draft are free to submit it to me online and I shall hand them back to you online. I will tell you whether you are on the right track, however this is optional and you will not be penalized if you do not show me your first draft. You need to give me Draft 1 by Tuesday, Feb 26. This will be an online submission under Assignments on ilearn. I will correct it and give it back to you by Sunday March 3, and then you will work on changing the draft according to my corrections and bring it to class on Tuesday, March 5 when we will have a peer review session. So after our class today you need to upload your first drafts of the essay in a week, by Feb 26 in an area marked out as Essay 1 under Assignments on Ilearn. You need to exchange your second drafts with two of your classmates on Tuesday, March...

Words: 547 - Pages: 3

Premium Essay

Essay

...Essay Writer can provide students with the exact answers to their essay assignments through our free essay section as well as our custom essay writing services. All of Essay Writer’s free essays are uploaded to our site by some college and university students in the UK to serve as informative guides and comparative templates to help you finish your own essay writing tasks with greater ease and clarity. These sample essays are readily downloadable and very easily accessible; just simply select a subject area or topic from our list of available subjects. You can then go through our list of available essay titles under that subject. Welcome to Essay Writer’s free essays section! You can now access our very extensive collection of free essays. These essays are all original and previously not made available to anyone, and are excellently written and submitted by some well meaning college students who wish to share their knowledge to help you do better in writing your own essays. Below is the list of the subject areas we cover in our free essays section. Simply select the subject that corresponds to your need. You will then be shown a list of all the essay titles available for that specific subject. Essay Writer regularly updates its free essay database. Keep checking back for additional subjects or topics. You may also bookmark our Free Essays page to make it easier to check back on the availability of our free essays. To bookmark this page, simply click on the bookmark...

Words: 314 - Pages: 2

Premium Essay

Essay

...tutorial x 13 weeks)     Level: Foundation/Matriculation     Lecturers: Ms Fazidah Abdul Jamil., Mdm Goh Wan Chen, Ms Saratha Thevi Ramasamy, Ms Norzaireen Shamsul Kamar Synopsis: This course is designed for students who require the necessary skills for tertiary studies. Some basic grammatical concepts are taught and students are to apply them in their writing. Writing will focus on the development of coherent paragraphs. Reading skills will cover such strategies as scanning, skimming, main ideas, contextual clues and inferences. Learning Outcomes: Upon completion of this subject, student will be able to: 1. write summaries as well as process, comparison-contrast and cause-effect essays 2. apply basic grammatical concepts in writing 3. answer questions based on academic texts 4. give oral presentations Textbook: 1. Daise, D., Norloff, C., and Carne, P., (2011). Q: Skills for Success 4 : Reading and Writing Oxford University Press, UK 2. Paterson, K, and Wedge, R., (2013). Oxford Grammar for EAP. Oxford University Press, UK Recommended References: Cambridge International Dictionary of English (1997), Cambridge University Press, UK Mode of Assessment: [1] Class participation 5% [2] Quiz 1 15% [3] Quiz 2 10% [4] Oral Presentation 10% [5] Mid-Term Examination 20% [6] Final Examination 40% Syllabus – FDENG001 |Week |UNIT |Topics ...

Words: 469 - Pages: 2

Premium Essay

Essay

...Define Your Thesis For essays that are part of an Early Years Care & Education Degree, it is important to clearly define a thesis statement within the first paragraph of the essay. Even if you are given a topic to write, such as the importance of preschool classes in low-income neighborhoods, you need to develop a strong thesis in your own words. Here is an example: "Preschool classes in low-income neighborhoods are a crucial step in helping all children enter elementary school at the same educational level, regardless of the income of the family." Once you have defined a clear thesis, you can proceed to the rest of your essay. However, without a clear thesis, your essay will not hold up. Use Examples The majority of your essay should be a careful and clear argument that supports your thesis statement. Do research and cite as many examples as possible to prove your point. For an essay about the merits of all-day educational opportunities for preschool-aged children, check trustworthy sources such as the National Association for the Education of Young Children and national PTA. Provide each point in a strong and complete paragraph. Each paragraph should have a main statement, supporting information and a conclusion. Tie In Conclusion After you have made your argument, state your conclusion in a clear and concise manner. Whether you have proven that the teacher ratio in a preschool setting should be lower than 4 to 1 or made a case for more national funding for the education...

Words: 281 - Pages: 2

Free Essay

Essay

...Carmen Hollow Mr. Beurskens College English Critique Essay: The Morals of the Prince May 3, 2011 The Grey Area between Good and Evil: A Critique of “The Morals of the Prince” by Niccolo Machiavelli Introduction We’ve all made a promise that we couldn’t keep and we have all felt bad about breaking those promises. Whether it was a promise to our parents, our children or a co-worker, we don’t feel good about it, but sometimes it can’t be helped. Usually if we couldn’t keep a promise it was for a good reason and not a selfish one. To the person that we made the promise to, we may be viewed as uncaring or unreliable, but to ourselves we know that we had to make a decision that could hurt someone but at the same time our decision could help that same person or persons. Making a promise and not being able to keep it for one reason or another, is one of the few topics that Machiavelli writes of in his essay “The Morals of the Prince”. He also tells why he believes a prince should be feared rather than loved, and why a prince should be stingy and not generous. He wants us to know how a “perfect” prince should act and behave so that the prince will be viewed upon as a great prince. Summary Machiavelli writes about how he believes a prince should act and behave to be considered a successful prince, one that is loved and feared, liberal and stingy, one that knows when to keep his word and when to break it. In his essay, Machiavelli writes “a prince who wants to keep his post...

Words: 1138 - Pages: 5

Premium Essay

Essay

...Basic techniques for generating ideas. Brainstorming. Brainstorming consists in writing series of words or sentences just as they flow from our mind, although they have no logical order or connections. Once the words are written down, we have to establish relationships among them. This is the embryo of the future text. Free writing. Free writing is a similar technique to the brainstorming. Consists in writing a text without previous decisions or ideas about how we want to write it. Just choosing a topic and writing about it, and then we can summarise the main ideas. Organisation of information. There are some basic rules for writing a well - structured text. The text should be organised in a clear way; it must not be a twisted or an incomprehensible lot of ideas. We have to try to write according to certain conventions about hoe the text is organised. We have to structure our text in paragraphs. Each paragraph must express one idea. Some rules referring to the paragraphs: A paragraph must be clearly separated from other paragraphs, either by an empty line or by indenting the first line, or both. There must be no blank spaces or half-empty lines inside the paragraph. A paragraph in academic prose does not begin with a dot, a line or a kind of mark, except in special circumstances. Each body paragraph must normally have a topic sentence, and more than one sentence. Types of paragraphs. The introductory paragraph. There must be at least one...

Words: 1285 - Pages: 6