Real Numbers -Real Numbers are every number. -Therefore‚ any number that you can find on the number line. -Real Numbers have two categories‚ rational and irrational. Rational Numbers -Any number that can be expressed as a repeating or terminating decimal is classified as a rational number Examples of Rational Numbers 6 is a rational number because it can be expressed as 6.0 and therefore it is a terminating decimal. -7 ½ is a rational number because it can be expressed as -7.5 which is a
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how many pairs will there be in one year? When attempting to solve this problem‚ a pattern is detected: Figure 1: Recognizing the pattern of the "rabbit problem". If we were to keep going month by month‚ the sequence formed would be 1‚1‚2‚3‚5‚8‚13‚21 and so on. From here we notice that each new term is the sum of the previous two terms. The set of numbers is defined as the Fibonacci sequence. Mathematically speaking‚ this sequence is represented as: The Fibonacci sequence has a plethora
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Graham’s number‚ named after Ronald Graham‚ is a large number that is an upper bound on the solution to a certain problem in Ramsey theory. The number gained a degree of popular attention when Martin Gardner described it in the "Mathematical Games" section of Scientific American in November 1977‚ writing that‚ "In an unpublished proof‚ Graham has recently established ... a bound so vast that it holds the record for the largest number ever used in a serious mathematical proof." The 1980 Guinness
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3/2/13 Management By The Numbers (MBTN) Course: International Marketing Managem ent w ith Marco Protano - Winter 2013 Hult Nanjing | Module: Advertising Metrics | Problem Set ID: 11 COMPANY BACKGROUND: XiaKe Digital‚ a Chinese manufacturer of electronics‚ is launching a new advertising campaign spanning both print and TV advertising for their new Music Pod. The local market has a population of 21 million adults. The company purchased a one-page newspaper ad in the Daily News generating
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Interpretation of “My Number” by Billy Collins Billy Collins’ poem‚ “My Number” combines the use of personification and imagery to illustrate the uneasy feeling of uncertainty in regard to Death and its imminence. The persona is waiting in constant fear for Death’s arrival‚ as he is clearly not ready for Death to find him. Collins uses personification in the first stanza when he writes the following: Is Death… reaching for a widow in Cincinnati or breathing down the neck of a lost hiker in
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literature Number The Stars -Lois Lowry 1. What are the major themes of this book ? Difficulty of growing up The author Lois Lowry uses the context of World War II as a way of making the difficulties stand out more clearly. The novel focuses on Annemarie Johansen’s personal experiences with growing up‚ but her experiences are common to most young people. Growing up is presented as a struggle for identity. Does Annemarie belong to the world of adults or to the world of children? Such distinctions
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Pi has always been an interesting concept to me. A number that is infinitely being calculated seems almost unbelievable. This number has perplexed many for years and years‚ yet it is such an essential part of many peoples lives. It has become such a popular phenomenon that there is even a day named after it‚ March 14th (3/14) of every year! It is used to find the area or perimeter of circles‚ and used in our every day lives. Pi is used in things such as engineering and physics‚ to the ripples created
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OVERVIEW INDEX NUMBERS compare figures which show changes in a given variable. The most common variables used in index numbers are price and quantity. By getting the difference of the index numbers‚ we are able to determine the relative or percent change in the price or quantity of a commodity between two periods of time or two localities. Among the more commonly used index numbers are the consumer price index‚ retail price index‚ wholesale price index‚ and the cost-of-living index. DEFINITION
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Perfect numbers Mathematicians have been fascinated for millenniums by the properties and patterns of numbers. They have noticed that some numbers are equal to the sum of all of their factors (not including the number itself). Such numbers are called perfect numbers. A perfect number is a whole number‚ an integer greater than zero and is the sum of its proper positive devisors‚ that is‚ the sum of the positive divisors excluding the number itself. Equivalently‚ a perfect number is a number that is
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A rational number is a number that can be written as a ratio of two integers. The decimal of a rational number will either repeat or terminate. There is a way to tell in advance whether a rational number’s decimal representation will repeat or terminate. When trying to find a pattern in the relationship between rational numbers and their decimals‚ it is best to start with a list. A random list of rational numbers and their decimal values was made in order to find a pattern. The list included ½‚ 5/6
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