REAL NUMBERS Q.1 Determine the prime factorization of the number 556920. (1 Mark) (Ans) 23 x 32 x 5 x 7 x 13 x 17 Explanation : Using the Prime factorization‚ we have 556920 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 = 23 x 32 x 5 x 7 x 13 x 17 Q.2 Use Euclid’s division algorithm to find the HCF of 210 and 55. (1 Mark) (Ans) 5 Explanation: 5 ‚ Given integers are 210 and 55 such that 210 > 55. Applying Euclid’s division leema to 210 and 55‚ we get 210 = 55 x 3 + 45 ………
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definition for knowledge is that a statement must be justified‚ true and believed at this point knowledge was defined as having a justified true belief‚ this is the is known as the tripartite definition for knowledge (Prosser‚ 2007). Therefore the classic definition of knowledge states that to have knowledge it is necessary that we have a justified true belief (Y only if X). Some philosophers claim that these three conditions however are not sufficient (Whenever X obtains‚ you are guaranteed Y) to define
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meaning that it is not an algebraic number of any degree. Every real transcendental number must also be irrational‚ since a rational number is‚ by definition‚ an algebraic number of degree one. Ferdinand von Lindeman first called pi a transcendental number * Irrational number is a real number that cannot be expressed as a rational number. In 1761 Lambert proved that Pi was irrational‚ that it can’t be written as a ratio of integer numbers. Web pages used: http://dictionary.reference
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Social media has undeniably become a prominent part of everyday life in recent years for most individuals‚ it has been widely beneficial‚ but gradually the detrimental effects of social media are also becoming apparent. It has enabled people to keep in touch with friends and family all over the world with the touch of a finger‚ as well as being able to keep individuals constantly aware and alerted of ongoing events and breaking news. Not only are people constantly being informed with news‚ but they
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root. However‚ the solution obtained by using the graphical method is an approximation only. Classwork Classwork (p. 1.8) (a) Integer (b) Natural number (c) Negative integer (d) Terminating decimal (e) Recurring decimal (f) Fraction (g) Irrational number Classwork (p. 1.11) 1. (a) When x = 3‚ L.H.S. == 0 R.H.S. = 0 Since L.H.S. = R.H.S.‚ 3 is a root of the equation. (b) When x = 6‚ L.H.S. == 9 R.H.S. = 0 Since L.H.S. R.H.S.‚ 6 is not a root of the equation. (c) When x
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the views of William Kingdon Clifford‚ who argued in The Ethics of Belief‚ that it is always wrong to believe anything for which the evidence is insufficient. James on the other hand thinks that occasionally despite what evidence points to‚ that if true beliefs are more important‚ then believing without strong evidence may be sufficient. James then goes on to describe that a hypothesis is anything that may be proposed to our belief. First he distinguishes between a live and dead hypothesis. A live
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Running Head: History of Trigonometry History of Trigonometry Rome Fiedler History of Mathematics 501 University of Akron April 29‚ 2012 History of Trigonometry: An Introduction Trigonometry is useful in our world. By exploring where these concepts come from provides an understanding in putting this mathematics to use. The term Trigonometry comes from the Greek word trigon‚ meaning triangle and the Greek word meatria meaning measurement. However it
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UC Davis‚ ECS 20‚ Winter 2014 Instructor: Vladimir Filkov Midterm Review Exercises 1. Write the truth table for the proposition (r q) (p r). q Ans: p q) (p r) r (r p T T T T F F F F 2. T T F F T T F F T F T F T F T F T T F T T F F F Find a proposition with three variables p‚ q‚ and r that is true when exactly one of the three variables is true‚ and false otherwise Ans: (p q r) (p q r) (p q r). 3
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Irrational Ratios 1 of 5 http://www.journalofaccountancy.com/Issues/2001/Aug/IrrationalRatios... FRAUD The numbers raise a red flag. BY JOSEPH T. WELLS AUGUST 2001 inancial statements tell a story‚” says accounting professor W. Steve Albrecht‚ “and the story should make sense.” If not‚ it’s possible the story is a fake. By standing far enough back from the numbers to get a good picture of the client’s business‚ auditors frequently can detect signs of financial statement frauds
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number. On the other hand‚ the square root of 8‚ does not come out even‚ when calculated through a calculator‚ the answer is 2.828427125‚ an irrational number. The exact values of these irrational numbers cannot be expressed in decimal form‚ and must be left in radical form because the decimal values are rounded and not completely accurate. These irrational radical numbers are called surds. Surds can also be represented in series. In mathematics‚ given an infinite sequence of numbers (an )‚ a series
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