Because 88 = 11・8 + 0‚ we have q = 8‚ r = 0. (The fact that r = 0 says that 11|88.) (b) Because −29 = 9・(−4) + 7‚ we have q = −4 and r = 7. (Note that although we can write −29 =9・(−3) + (−2)‚ we cannot use −2 as r because r is not allowed to be negative.) (c) a = d(q)+r 58237 = 58168(1) + 69 Quotient = 1‚ Remainder = 69 (c actual) We do not need to perform the exponentiations to find a and d. We need only observe that a is a multiple of d: 58237 = 58168・5869 (recall the rule for
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let’s go the other way with a number less than one. 0.0001 = 1x10-4. Again‚ we’re moving the decimal over as far as it can go‚ but since we’re moving it to the right‚ you’ll need to add that negative sign. It’s important to note here‚ that this is not a negative number‚ as in it’s not less than zero. The negative sign just implies that it’s a number smaller than one. Now‚ I keep saying move the decimal over as far as you can go … well‚ how far is that ? Sometimes its obvious‚ sometimes its not.
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Introduction to College Algebra November 9‚ 2009 2 Chapter 1 Sets Definition 1.1. A set is a well-defined collection of distinct objects. Each object in a set is called an element of the set. By “well-defined”‚ we mean that the rule of membership to the set is clear. Example 1.2. The following are examples of sets. 1. The set of counting number less than 5. 2. The set of vowels in the word “mathematics”. 3. The set of cities in the Philippines. 4. The set of positive integers from −2 to
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Divisibility by 7: Now we will study divisibility by 7. One book on speed arithmetic says that these tests are just too complicated‚ and you should just divide by 7. I agree to some extent‚ but my calculator still will not let me enter really large numbers. One interesting way (found in some books) is to take the two left-most digits‚ multiply the left digit by 3 and add it to the second digit. Replace these two digits with the result. Then we can keep repeating‚ always dealing with only the two
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systems? Signed magnitude 10. How are complement systems similar to the odometer on a bicycle? You are essentially cutting system of numbers in half‚ 0-500 represent positive numbers while 501-999 represents negative numbers‚ thus making it easier to figure out if you have a positive or negative number. 11. Do you think that double- dabble is an easier method than the other binary- to- decimal conversion methods
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term “modulus” which has an equal meaning to absolute value and is sometimes referred to by its Latin name still today. The way absolute value is written is with bar then a variable followed by another bar‚ like so |x|. It can also be writing with negative inside it‚ but the sign is dropped. This way of writing it was introduced by a man named Karl Weierstrass in the year 1841 and has stuck around ever since. These key factors are what made it the common known mathematical term we know today as absolute
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Edward Martin PT 1420 Unit7 Assignment1: Homework Short Answer 1. Why should you indent the statement in the body of a loop? By indenting the statements‚ you make them stand out from the surrounding code. This helps you to identify at a glance the statements that are conditionally executed by a loop. 2. Described the difference between pretest loop and posttest loops. A pretest loop tests its condition before each iteration. A posttest loop tests its condition after each iteration. A posttest loop
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CENTER FOR MODERN LANGUAGES & HUMAN SCIENCES PUBLIC SPEAKING SUBJECT CODE UHL 4012 PUBLIC SPEAKING TITLE PERSUASIVE SPEECH OUTLINE DATE OF SUBMIT 14TH DECEMBER 2011 NAME & ID NUMBER NORDIANA BINTI YAZID AA10195 LECTURER MADAM ZAILIN SHAH BINTI YUSOFF REMARKS ENDORSEMENT Topic: Gadget Title: The use of cell phone should be banned while driving. General Purpose: To persuade Specific Purpose: To convince my audience that the use of cell phone while driving is dangerous
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Algebra Archit Pal Singh Sachdeva 1. Consider the sequence of polynomials defined by P1 (x) = x2 − 2 and Pj (x) = P1 (Pj−1 (x)) for j = 2‚ 3‚ . . .. Show that for any positive integer n the roots of equation Pn (x) = x are all real and distinct. 2. Prove that every polynomial over integers has a nonzero polynomial multiple whose exponents are all divisible by 2012. 3. Let fn (x) denote the Fibonacci polynomial‚ which is defined by f1 = 1‚ f2 = x‚ fn = xfn−1 + fn−2 . Prove that the inequality 2 fn
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Difference and inequality City Road is a good place to investigate inequality and differences as it plays host to a variety of different people‚ businesses and cultures. Inequalities and differences can be observed just by walking along City Road in the changes that have taken place‚ in the people that we meet and in the shops that we see‚ and can be measured in in many different ways. Inequality is prevalent all over the world and can be for various reasons. To discover where inequality and difference
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