RATIONAL NUMBERS In mathematics‚ a rational number is any number that can be expressed as the quotient or fraction p/q of two integers‚ with the denominator q not equal to zero. Since q may be equal to 1‚ every integer is a rational number. The set of all rational numbers is usually denoted by a boldface Q it was thus named in 1895 byPeano after quoziente‚ Italian for "quotient". The decimal expansion of a rational number always either terminates after a finite number of digits or begins to repeat the
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Counting Number : Is number we can use for counting things: 1‚ 2‚ 3‚ 4‚ 5‚ ... (and so on). Does not include zero; does not include negative numbers; does not include fraction (such as 6/7 or 9/7); does not include decimals (such as 0.87 or 1.9) Whole numbers : The numbers {0‚ 1‚ 2‚ 3‚ ...} There is no fractional or decimal part; and no negatives: 5‚ 49 and 980. Integers : Include the negative numbers AND the whole numbers. Example: {...‚ -3‚ -2‚ -1‚ 0‚ 1‚ 2‚ 3‚ ...} Rational numbers: It can
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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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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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In addition‚ stating that the square of rational numbers if being positive will be a square number. Book II explains how to basically represent in three simple methods. The methods are that if the square number is present whenever the squares of two rational numbers are being added; the addition of two new squares is the same thing as if adding two well-known squares; and if the rational number is given will be equal to their difference. The first and the third problem
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RATIONAL NUMBER CLASS IN JAVA AIM To write a program to find the rational form of rational number. ALGORITHM 1. Start the program. 2. Declare the class name as rational and assign num‚ den as two parameters. 3. Declare constructor as rational and numerator and denominator as parameter. 4. Then write to string () method to print the rational class object as a string. 5. To get the GCD value using static method use GCD (int m‚ int n) method. 6. Get the num and den from the
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Your Rationale Essay for Empire State College Your rationale discusses the structure of your degree program and how it fulfills your educational and professional goals. A faculty assessment committee will review the degree program‚ and your rationale essay is critical to their review. The committee will want to know why you selected your concentration and how specific courses relate to that concentration. In addition‚ the committee will want to know
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Goals My reason for applying to Empire State is to complete my degree in Interdisciplinary Studies and Bachelor’s degree in Business Management. A college education will assist me in acquiring a range of knowledge in many subjects‚ as well as advanced knowledge in the specific subjects I am interested in. Throughout my career in the military I have received training in many aspects of leadership‚ and management. The training encompassed a variety of areas which included human resources and logistical
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Rational Equations Rational equations can be used to get a general idea about the rate at which a job can be completed. This can be really useful for business owners and other areas of daily life. Here is an example: Scenario: Sue can paint the garage in 4 hours and Joe has carpal tunnel so he is slower and can paint the same garage in 6 hours. How long (number of hours) will it take Sue and Joe to paint the garage if they work together? Solution: Sue can paint of the garage in 1 hour. Joe
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he number theory or number systems happens to be the back bone for CAT preparation. Number systems not only form the basis of most calculations and other systems in mathematics‚ but also it forms a major percentage of the CAT quantitative section. The reason for that is the ability of examiner to formulate tough conceptual questions and puzzles from this section. In number systems there are hundreds of concepts and variations‚ along with various logics attached to them‚ which makes this seemingly
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