My Mathematical Formula Pdf

The student will see a very practical use for complex fractions and large exponents. Then mark your choice on your answer sheet. Elementary Differential Equations with Boundary Value Problems is written for students in science, en-gineering,and mathematics whohave completed calculus throughpartialdifferentiation. In addition, there are formulas rarely seen in such compilations,. Introductory Statistics Notes. I’m currently working on synthetic division in class – that particular wizard is GREAT!!!. So soon? The teacher suspected a cheat, but no. Those are all examples of comparisons – ratios. Formula Method Each method will allow an accurate calculation of the medication dosage. Now, 2017 are only a on the first day of the immunity to Inhibition Death and early Matbematical, we had. The tea-ching of mathematics as a means of solving multidiscipli-nary problems by using modelling methods should restore. Most health care professionals become comfortable with one method and use that method exclusively. Greater than 750,000 b. Probability formula is a precise instrument in theory of games, gambling, randomness. Alternatively, you can compute the same pdf values without creating a probability distribution object. I frequently get asked about the key math formulas that students really need to know for the SAT. Del mumped gently at an. Communicate their mathematical thinking coherently and clearly to peers, teachers, and others. Bloom's Revised Taxonomy: Mathematics Taxonomy of Cognitive Objectives -1950s-developed by Benjamin Bloom 1990s-Lorin Anderson (former student of Bloom) revisited the taxonomy. Change is difficult for a great deal of people plus businesses. Triola Copyright 2010 Pearson Values. I know I mention about having 50 losses in a row, but that was an example under certain conditions. Mathematics is a very precise language. 8 Appraisal Institute Mathematics and Analytical Skills Review XII. For a complete set of online Algebra notes visit http://tutorial. Why Learn Math? Vocabulary for thinking Math Intuition Start with the cat, not its DNA Bow & Arrow Intuition First, have a good shot. Effective February 10, 2009 ABC Formula/Conversion Table for Wastewater Treatment, Industrial, Collection and Laboratory Exams Alkalinity, as mg CaCO3/L = Sample Volume, mL. Mathematical statements (p. But there is a way to understand this immense. My Mathematical Formula2016Affiliate Program / CPA Offer. © 2005 Paul Dawkins Algebra Cheat Sheet Basic Properties & Facts Arithmetic Operations. Credit cards also use fairly simple math, but it may take some legwork to find out which numbers to use. At Exeter, we use problem sets, not textbooks. pdf) College Algebra 3rd Corrected Edition, (Chapters 1-9 of Precalculus) free eBook (. These are: 1. Simple Interest Interest is a change of value of money. In 1890, Panin began to discover NUMERICAL SYSTEMS IN THE BIBLE, and went on to devote a large part of his life. CAT formulas are vast and in that CAT Quantitative aptitude section has many basic maths CAT formulas. What does the product offer? My Mathematical Formula Place Betting is a downloadable guide that teaches users how to make money through place betting, requiring just 15-20 minutes per day. The ratio is the same for all circles and is approximately 3. All Math Stars Newsletters are ready for classroom use and available for downloading as PDF files. monthly payment using a mortgage calculator or MS Excel formula. It is perfectly legal to. Students, teachers, parents, and everyone can find solutions to their math problems instantly. Shear and moment diagrams and formulas are excerpted from the Western Woods Use Book, 4th edition, and are provided herein as a courtesy of Western Wood Products Association. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. Online WYSIWYG Mathematics Editor (Equation Editor, Latex Editor), fast and powerful Editing features, inputting Normal text, Math symbols, and drawing Graph/Diagram in one single editor, help writing Math Document much easier. Armed with a basic Periodic table students can begin to write chemical formulas in one easy lesson. 1968 Acrobat 7 Pdf 42. Mathematical formulas usually depend on integer or decimal values as arguments. Excel can perform an array of basic math functions, and the articles listed below will show you how to create the necessary formulas to add, subtract, multiply, or divide numbers. ) A version of the liar paradox attributed to P. amenable to data-driven analysis, namely mathematical research. In the years since publication of the first edition of Basic Algebra, many readers have reacted to the book by sending comments, suggestions, and corrections. Introduction: In the real world of building construction there are many rich problems which can be used to build sense making and reasoning skills for students. arXiv is funded by Cornell University, the Simons Foundation and by the member institutions. Formulas are self-defined instructions for performing calculations. Ansgar Jung¨ el (TU Wien) How to write and publish a math paper? www. This article focuses on weighted and two-stage voting systems such as the Electoral College. Home › Articles › The Complete Mathematical Terms Dictionary. − Use your notes to study vocabulary terms, formulas, and mathematical properties. he test measures national educational standards, and is available in paper-based or. The Standards for Mathematical Practice describe ways in which developing student practitioners of the discipline of mathematics increasingly ought to engage with the subject matter as they grow in mathematical maturity and expertise throughout the elementary, middle and high school years. You can view Statement 1 above as a promise. 2 Explanation: This point will always have an x coordinate of zero. Applied Math Formula Sheet Distance 1 foot = 12 inches 1 yard = 3 feet 1 mile = 5,280 feet 1 mile ˚ 1. Engineering Formulas Mode Mean n = number of data values max events A and B and C occurring in sequence x A q = 1 P(~A) = probability of event A Engineering Formula Sheet Probability Conditional Probability Binomial Probability (order doesn't matter) P k (= binomial probability of k successes in n trials p = probability of a success. com, and we will make it for you for free!. The Arizona Department of Education K-12 Standards Section is providing planning guidance regarding the major and supporting clusters found within the Arizona Mathematics Standards, Adopted 2016. Glover (London, 1995) says that the experience of teaching Vedic Mathematics' methods to children has shown that a high degree of mathematical ability can be attained from an early stage while the subject is. Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. Using Excel to solve linear programming problems Technology can be used to solve a system of equations once the constraints and objective function have been defined. The Department of Mathematical Sciences empowers students to apply mathematical and statistical analysis to careers in research, medicine, computing, and finance. The gravity formula that most people remember, or think of, is the equation which captures Newton’s law of universal gravitation, which says that the gravitational force between two objects is. nx mx ny my P mn mn ⎛⎞++ =⎜⎟ ( use the formula of distance) The equation of the locus of a moving point P(x, y) which is always at a constant distance (r. We encourage you to begin utilizing this booklet at the earliest possible date in your nursing program of study. Mathematics is an interconnected subject in which pupils need to be able to move fluently between representations of mathematical ideas. Join our community just now to flow with the file My-Mathematical-Formula Ebbok-Download and make our shared file collection even more complete and exciting. I frequently get asked about the key math formulas that students really need to know for the SAT. 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The 5 basic rules to remember as we discuss Excel formulas are: To begin at the beginning, here are 5 important things you need to know about doing math in Excel. Free math problem solver answers your algebra homework questions with step-by-step explanations. To make equation authoring easier, the equation editor is in math mode by default, so it isn't necessary to add math mode commands to your equations. My Mathematical Formula Review Rating 8/10 A Place Betting System These days with the place prices of horses being very short we thought we would take a look at Don's system and see how it performed. Great Formulas Explained - Physics, Mathematics, Economics - Kindle edition by Metin Bektas. Pennisi, Gary L. For example, your card issuer might require that you pay at least 2% of your outstanding balance each month. "This means that the Children of Israel came into the Land of Israel in 1,436 BCE, which according to my formula correlates with the latitude of Jericho, their entry point into the land," Kullok said. Basic Math Formulas That Are Used in Algebra. In addition, courses from MAT141-College Mathematics and above transfer to the state universities, as well as many universities outside of Arizona. Aaj hum apke liye ek bahut hi important post lekar aaye hain. The natural display shows fractions, roots and exponents as you would expect it from mathematics. I have done some research and can not find how to enter formulas into either the text boxes or numeric boxes that i add to a document when i create one. ) No formulas are known in greater generality. To prepare for the College Mathematics exam, it is advisable to study one or more introductory college-level mathematics textbooks, which can be found in most college bookstores or online. 55 CFS/MGD 448. Formulas, definitions, and concepts. Make stronger connections with every lecture – McGraw Hill Connect Math. We will develop the mathematics in this chapter to understand better the principles of borrowing and saving. CAT formulas are vast and in that CAT Quantitative aptitude section has many basic maths CAT formulas. a1/n = n a a 0 Æ 21/3 = 3 2 Æ 1. Write your answer in simplest form. Download Maths Formulas for Class 8(pdf) CBSE. mathematics (outside of teaching or academia), your best bet is applied mathematics with computers. Define the random variable and the value of 'x'. Instead of having to do the math yourself in each cell, you can automatically tell one cell to be the result of a mathematical formula applied to the numbers in one or more other cells via a formula (i. Basic integration formulas The fundamental use of integration is as a continuous version of summing. 2 on the number line with a black dot. Recreational Mathematics (1969), page 29; cited in Martin Gardner, Knotted Doughnuts and Other Mathematical Entertainments, Freeman, 1986, Chapter Six. Mathwarehouse. This method was first published back in 1929 and has been in use ever since then. , NESC Engineering Scientist Metric Conversion Factors (Approximate). Subtract the principal if you want just the compound interest. How Not To Be Wrong The Power Of Mathematical Thinking This book list for those who looking for to read and enjoy the How Not To Be Wrong The Power Of Mathematical Thinking, you can read or download Pdf/ePub books and don't forget to give credit to the trailblazing authors. We will demon-strate that this new methodology has numerous connections with computational statistics in both directions—the experimental math methodology can be produc-tively applied to certain problems in statistics, and statistical methods can be ap-plied in experimental math. Mathematics vocabulary word wall cards provide a display of mathematics content words and associated visual cues to assist in vocabulary development. The McGraw-Hill My Math Learning Solution provides an easy and flexible way to diagnose and fill gaps in understanding so that all students can meet grade-level expectations - and accelerate beyond. Home › Articles › The Complete Mathematical Terms Dictionary. how much should they set aside per month if their monthly income is $2,519 mark the electrician charges $120. Math series Solving math word problems. Mathematical expressions which involve more than one operation appear ambiguous. The tea-ching of mathematics as a means of solving multidiscipli-nary problems by using modelling methods should restore. Remember, the math test is not a memorization test! You'll have access to a formula sheet that. Poetry Inspired by Mathematics Sarah Glaz Department of Mathematics University of Connecticut Storrs, CT 06269, USA E-mail: [email protected] He noted that like any mathematical formula, this works in both directions. • Read the useful follow-up to this horse bet system: Better methods, betting systems, software to wager horse racing. Students, teachers, parents, and everyone can find solutions to their math problems instantly. Constructing geometric figures using compasses and straightedge. The 5 basic rules to remember as we discuss Excel formulas are: To begin at the beginning, here are 5 important things you need to know about doing math in Excel. Effective February 10, 2009 ABC Formula/Conversion Table for Wastewater Treatment, Industrial, Collection and Laboratory Exams Alkalinity, as mg CaCO3/L = Sample Volume, mL. We feature over 2,000 free math printables that range in skill from grades K-12. There are three commonly used environments in the math mode: the math environment: Used for formulas in running text the displaymath environment: Used to display longer formulas the equation environment: Used for displaying equations for numbering and cross reference math environment. Examinee Guide to the Test Assessing Secondary Completion TM TASC Test Math Subtest he TASC Math Subtest is one of the ive subject area tests (Reading, Writing, Mathematics, Science and Social Studies) required for the High School Equivalency (HSE) Diploma. yocco georgia southern university ronald j. The Structures group provides structures you can insert. The focus of Eighth-Grade Math Minutes is math fl uency—teaching students to solve problems effortlessly and rapidly. But there is a way to understand this immense. I frequently get asked about the key math formulas that students really need to know for the SAT. Instructors. Please report any errors to me at [email protected] Square waves (1 or 0 or −1) are great examples, with delta functions in the derivative. Mathematical Reasoning Jill had 23 candies. How Not To Be Wrong The Power Of Mathematical Thinking This book list for those who looking for to read and enjoy the How Not To Be Wrong The Power Of Mathematical Thinking, you can read or download Pdf/ePub books and don't forget to give credit to the trailblazing authors. The number of mathematics majors who graduated in 2014-15 was 48; 28 mathematics minors also graduated. © 2005 Paul Dawkins Algebra Cheat Sheet Basic Properties & Facts Arithmetic Operations. The principle of mathematical induction is used to prove that a given proposition (formula, equality, inequality…) is true for all positive integer numbers greater than or equal to some integer N. Eighth (8th) Grade Math Worksheets and Printable PDF Handouts. The Project was founded by a team of seven people who had the bold and audacious vision to bring the world together through common mathematics experiences, opening the doors for all. The mission of the Department of Mathematics is to create and teach mathematics, and to develop in all students the capacity to understand, discover, enjoy, and use mathematics. For those of you new to abstract mathematics elementary does not mean simple (though much of the material. It only takes a minute to sign up. By Zane Satterfield, P. Here's the thing about the ACT math section: even with all the ACT math test prep you did, the ACT doesn't give you a cheat sheet with all the math formulas written down on them. Engineering Formulas Mode Mean n = number of data values max events A and B and C occurring in sequence x A q = 1 P(~A) = probability of event A Engineering Formula Sheet Probability Conditional Probability Binomial Probability (order doesn't matter) P k (= binomial probability of k successes in n trials p = probability of a success. edu Abstract This article explores one of the many manifestations of the mysterious link between mathematics and poetry—the phenomenon of poetry inspired by mathematics. com Look Up Results on Info. To display part of a formula using display style, do the same thing, but use \displaystyle instead. Eighth grade is an extremely important year in math for students. If you enjoyed this post, make sure to check out the follow-up, “10 Surprising Mathematical Facts. The formula is a simplistic substitution to the plane and spherical trigonometry as it is rejects all the trigonometric functions. of mathematical topics, preparing them to solve problems in a variety of settings, develop more sophisticated mathematical reasoning and en-hance their critical thinking. "A few whispers in private or some rumors outside the walls in the city. MP4 – Model with mathematics. Duration: Formulas and Calculations W. The term applied mathematics also describes the professional specialty in which mathematicians work on practical problems; as a profession focused on practical problems, applied mathematics focuses on the "formulation, study, and use of mathematical models" in science, engineering, and other areas of mathematical practice. PRACTICE PLACEMENT TEST PAGE 4 OF 12 25. This course provides a comprehensive overview of 9 real estate math topics along with real world examples to help you understand how to use real estate math on actual. 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Please note that changes to STAAR mathematics assessments will not go into effect until the scheduled implementation of the new curriculum. It is martingale-based and describes its application to roulette betting and blackjack gambling. Basic Math Formulas That Are Used in Algebra. 1 FUNCTIONS AND FUNCTION NOTATION 3 • Graph: The data from Table 1. 2 on the number line with a black dot. All the parts within any engine are designed and engineered using the appropriate mathematics to function efficiently and be durable. To make equation authoring easier, the equation editor is in math mode by default, so it isn't necessary to add math mode commands to your equations. It is known to all that we can not edit PDF document like Word document, so it will be hard to edit formula in PDF document. Learn how to write the chemical formula of a variety of chemical compounds using the arms and link method. 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One can estimate without a formula (this is typically how probability theory is done), but this is quite hard in this setting. Basic Set Theory A set is a Many that allows itself to be thought of as a One. " "@numericalguy struggling in numerical methods and came upon your website today. These two volumes reflect my 1973-1974 high school studies in mathematics. Add and Amend After workshop presentations, participants would ask me for lists of activities to be used with the Foldables they had just learned to make. In reality, mathematics encompasses a wide variety of skills and concepts. Mathematics Grade 8 Page 2. To make sure you have it right: LottoMasterFormula is not illegal (what can be illegal in following some strategies that increases your odds. Algebra Review 15. On the other hand, it never makes sense to substitute a number for a dummy variable. the mathematical theory of the business firm with some necessary economics background is provided. of circles; choose and use appropriate formulas to calculate the areas of rectangles, parallelograms, and triangles, and the volume of a prism; define pi as the ratio of a circle’s circumference to its diameter. I’m having the same issue with the PDF of the formulas that it looks like a number of people are. friday, january 25, 2013 algebraic formulae airil ahmad airil ahmad. Surface Area, Lateral Area, and Volume Formulas In the table shown B is the area of the base, P is the perimeter of the base, h is the height of the object, l is the slant height of the object, r is the radius of the base if the base is a circle, C is the circumference of the base if it. Basic statistics. 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Random is a website devoted to probability, mathematical statistics, and stochastic processes, and is intended for teachers and students of these subjects. easy steps to success: a graphing calculator guide to accompany mathematical applications for the management, life, and social sciences eighth edition harshbarger/reynolds lisa s. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. In some versions of this formula, the word “Consequence” is sometimes substituted for “Impact,” but the concept appears to be the same. Calculating the design for the pool. It says You are guaranteed an A provided you score 85% or above. The expectation is that less prepared students will answer fewer questions correctly than more prepared students. Functions Mathematical modeling is an attempt to describe some part of the real world in mathematical terms. All Excel formulas start with an equal (=) sign. I am now trying to teach myself how to create PDF documents. ! Area of a: parallelogram. Choose from 500 different sets of math flashcards on Quizlet. If scoring well on GRE Quant is a goal of yours (as it is for many GRE takers), memorizing common GRE math formulas gives you a big advantage on test day. Download all the Algebra formulas pdf. Out of all of the real estate math formulas you need to know, the most basic one is the T-Method. This page offers free printable math worksheets for eigth grade and higher levels. Students will need to become. − Stay neat and organized when working through problems. If you select the cell, though, the formula appears in the formula bar at the top of the Excel screen. Today, helping children to make the effort to learn, appreciate and master mathematics is more important than ever. The term applied mathematics also describes the professional specialty in which mathematicians work on practical problems; as a profession focused on practical problems, applied mathematics focuses on the "formulation, study, and use of mathematical models" in science, engineering, and other areas of mathematical practice. Whether you're calculating the rate of interest or solving a quadratic equation, all you need to do is plug and chug. my mathematical formula pdf my mathematical formula my mathematical formula malcolm maclean my mathematical formula review my mathematical formula free download my mathematical formula free my mathematical formula book If you had never been a winner, then do not lose hope. dealer's pricing and sales con ventions, the relevant indices needed to determine pric­ ing, formulas for and examples of pricing, and a review of variables that have an affect on market and. (d) Look back and check. Search Average Calculation Formula. 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CUSTOMARY SYSTEM 1 yd = 3 ft 3 tsp = 1 Tbs 1 ft = 12 in 16 Tbs 1 cup 1 fathom = 6 ft 1 cup = 8 oz (liquid capacity). Poetry Inspired by Mathematics Sarah Glaz Department of Mathematics University of Connecticut Storrs, CT 06269, USA E-mail: [email protected] Gauss approached with his answer: 5050. Maybe this is why clothing stores are always out of my size. View Notes - All notes (Math Functions 1483). PRACTICE PLACEMENT TEST PAGE 4 OF 12 25. MATH SONG SING-A-LONG Compiled by: And use this formula. Mathematics is an interconnected subject in which pupils need to be able to move fluently between representations of mathematical ideas. com Math Problem Solving Strategy 1. Glover (London, 1995) says that the experience of teaching Vedic Mathematics' methods to children has shown that a high degree of mathematical ability can be attained from an early stage while the subject is. The Scanning Service may Formula correction will, I assure Formula, Athens with a single seven-foot from Formula and pulled with. Mathematics—Sessions 1, 2, and 3 GENERAL INSTRUCTIONS The Mathematics test has three sessions, two with multiple-choice questions and one with constructed-response questions. Using Excel to solve linear programming problems Technology can be used to solve a system of equations once the constraints and objective function have been defined. math formula sheet answers the sinclairs have been advised to allow 7. These high quality math worksheets are delivered in a PDF format and includes the answer keys. There are five levels in the Applied Mathematics skill scale, ranging from Level 3, the least complex, to Level 7, the most complex. Look Up Results on Info. REDISH Department of Physics, University of Maryland College Park, MD, 20742-4111 USA Mathematics is an essential element of physics problem solving, but experts often fail to appreciate exactly how they use it. Areas Rectangle = Parallelogram = 1b x h Triangle = Trapezium = 1 (a + b)h Circles Circumference — n x diameter, C — — Circumference = 2 x n x radius, C —. Alternatively, you can compute the same pdf values without creating a probability distribution object. com delivers thousands of printable math worksheets, charts and calculators for home school or classroom use on a variety of math topics including multiplication, division, subtraction, addition, fractions, number patterns, order of operations, standard form, expanded form, rounding, Roman numerals and other math subjects. Basic Water and Wastewater Formulas Summary Operators obtaining or maintaining their certification must be able to calculate complex formulas and conversion factors. Mathematics Formula Sheet & Explanation The 2014 GED® Mathematical Reasoning test contains a formula sheet, which displays formulas relating to geometric measurement and certain algebra concepts. 0 mathematicsvisionproject. The Mathematics department offers a Master of Arts program in the Mathematics of Finance. The difficulty rating is based on the type of project that is chosen. There are several accounting formulas used to report the financial health of a person or business. Learn why betting on favourites is simply the quickest way to profit …. Add Maths Formulae List: Form 4 (Update 18/9/08) ( use the formula of distance) The equation of the locus of a moving point P(x, y) which is always at a constant. At Global Math Project, we are a community of people who want all learners and teachers across the globe to experience joy and wonder in school-relevant mathematics. Chapter 1 Di erential and Di erence Equations 1. Spiegel Mathematical Handbook of Formulas and Tables Schaum's Outline Series Schaum Publishing Co 1st. 130 / 7 = 18, remainder 4, so December 16, 2482 will be on the fourth day of the week-- Wednesday. She has the formula to care for and cannot move about too much. System Review: Maclean Racing's My 'Mathematical Formula including The Diabolical Staking Plan' by Clive Keeling | Feb 1, 2006 This system is available from Maclean Publishing and on first glance is a comprehensive package. It says You are guaranteed an A provided you score 85% or above. Feel free to share this book with your followers on Facebook. All the parts within any engine are designed and engineered using the appropriate mathematics to function efficiently and be durable. In this complete list of critical formulas you'll need on the ACT, I'll lay out every formula you must have memorized before test day, as well as explanations for how to use them and what they mean. Creating a Slider in Excel While most people usually just type data values into spreadsheets, there are other tools you can use to control values if you want. "A few whispers in private or some rumors outside the walls in the city. It was released as a book about 20 years ago, over 87 thousand copies have been bought. But there is a way to understand this immense. My Mathematical Formula - The Diabolical Staking Plan DOWNLOAD HERE. The aims of all DP mathematics courses are to enable students to: • enjoy and develop an appreciation of the elegance and power of mathematics. Vitamin A liposomes are easy to use and provide an effective dose of vitamin A, while milk protein helps rejuvenate the skin. 5 is often considered to be less risky. ) You should be aware that, in rare cases, once this mathematical formula is applied to your credits in transfer, you may be short a few credits in overall requirements for graduation. In order to construct a building that will last into the future, a strong foundation is a prerequisite. Jails The average daily jail population in the United States is 706,242. Pure Mathematics Unit 1 AND Applied Mathematics Unit 2. THE SOLVE AND DISCUSS STRUCTURE. Here's a breakdown of the GED math formulas. If you're working on a geometry problem and get stumped, go through these formulas and make sure you've applied them correctly. Start your success story with Examrace Mathematics Coaching Program for Competitive Exams. For example, is. Define the random variable and the value of 'x'. The fact-checkers, whose work is more and more important for those who prefer facts over lies, police the line between fact and falsehood on a day-to-day basis, and do a great job. Today, my small contribution is to pass along a very good overview that reflects on one of Trump’s favorite overarching falsehoods. Namely: Trump describes an America in which everything was going down the tubes under  Obama, which is why we needed Trump to make America great again. And he claims that this project has come to fruition, with America setting records for prosperity under his leadership and guidance. “Obama bad; Trump good” is pretty much his analysis in all areas and measurement of U.S. activity, especially economically. Even if this were true, it would reflect poorly on Trump’s character, but it has the added problem of being false, a big lie made up of many small ones. Personally, I don’t assume that all economic measurements directly reflect the leadership of whoever occupies the Oval Office, nor am I smart enough to figure out what causes what in the economy. But the idea that presidents get the credit or the blame for the economy during their tenure is a political fact of life. Trump, in his adorable, immodest mendacity, not only claims credit for everything good that happens in the economy, but tells people, literally and specifically, that they have to vote for him even if they hate him, because without his guidance, their 401(k) accounts “will go down the tubes.” That would be offensive even if it were true, but it is utterly false. The stock market has been on a 10-year run of steady gains that began in 2009, the year Barack Obama was inaugurated. But why would anyone care about that? It’s only an unarguable, stubborn fact. Still, speaking of facts, there are so many measurements and indicators of how the economy is doing, that those not committed to an honest investigation can find evidence for whatever they want to believe. Trump and his most committed followers want to believe that everything was terrible under Barack Obama and great under Trump. That’s baloney. Anyone who believes that believes something false. And a series of charts and graphs published Monday in the Washington Post and explained by Economics Correspondent Heather Long provides the data that tells the tale. The details are complicated. Click through to the link above and you’ll learn much. But the overview is pretty simply this: The U.S. economy had a major meltdown in the last year of the George W. Bush presidency. Again, I’m not smart enough to know how much of this was Bush’s “fault.” But he had been in office for six years when the trouble started. So, if it’s ever reasonable to hold a president accountable for the performance of the economy, the timeline is bad for Bush. GDP growth went negative. Job growth fell sharply and then went negative. Median household income shrank. The Dow Jones Industrial Average dropped by more than 5,000 points! U.S. manufacturing output plunged, as did average home values, as did average hourly wages, as did measures of consumer confidence and most other indicators of economic health. (Backup for that is contained in the Post piece I linked to above.) Barack Obama inherited that mess of falling numbers, which continued during his first year in office, 2009, as he put in place policies designed to turn it around. By 2010, Obama’s second year, pretty much all of the negative numbers had turned positive. By the time Obama was up for reelection in 2012, all of them were headed in the right direction, which is certainly among the reasons voters gave him a second term by a solid (not landslide) margin. Basically, all of those good numbers continued throughout the second Obama term. The U.S. GDP, probably the single best measure of how the economy is doing, grew by 2.9 percent in 2015, which was Obama’s seventh year in office and was the best GDP growth number since before the crash of the late Bush years. GDP growth slowed to 1.6 percent in 2016, which may have been among the indicators that supported Trump’s campaign-year argument that everything was going to hell and only he could fix it. During the first year of Trump, GDP growth grew to 2.4 percent, which is decent but not great and anyway, a reasonable person would acknowledge that — to the degree that economic performance is to the credit or blame of the president — the performance in the first year of a new president is a mixture of the old and new policies. In Trump’s second year, 2018, the GDP grew 2.9 percent, equaling Obama’s best year, and so far in 2019, the growth rate has fallen to 2.1 percent, a mediocre number and a decline for which Trump presumably accepts no responsibility and blames either Nancy Pelosi, Ilhan Omar or, if he can swing it, Barack Obama. I suppose it’s natural for a president to want to take credit for everything good that happens on his (or someday her) watch, but not the blame for anything bad. Trump is more blatant about this than most. If we judge by his bad but remarkably steady approval ratings (today, according to the average maintained by 538.com, it’s 41.9 approval/ 53.7 disapproval) the pretty-good economy is not winning him new supporters, nor is his constant exaggeration of his accomplishments costing him many old ones). I already offered it above, but the full Washington Post workup of these numbers, and commentary/explanation by economics correspondent Heather Long, are here. On a related matter, if you care about what used to be called fiscal conservatism, which is the belief that federal debt and deficit matter, here’s a New York Times analysis, based on Congressional Budget Office data, suggesting that the annual budget deficit (that’s the amount the government borrows every year reflecting that amount by which federal spending exceeds revenues) which fell steadily during the Obama years, from a peak of $1.4 trillion at the beginning of the Obama administration, to $585 billion in 2016 (Obama’s last year in office), will be back up to $960 billion this fiscal year, and back over $1 trillion in 2020. (Here’s the New York Times piece detailing those numbers.) Trump is currently floating various tax cuts for the rich and the poor that will presumably worsen those projections, if passed. As the Times piece reported: