would be without irrational numbers? If the great Pythagorean hyppasus or any other mathematician would have not ever thought of such numbers? Before ‚understanding the development of irrational numbers ‚we should understand what these numbers originally are and who discovered them? In mathematics‚ an irrational number is any real number that cannot be expressed as a ratio a/b‚ where a and b are integers and b is non-zero. Irrational numbers are those real numbers that cannot be represented as
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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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BY: Lillian Richard Hemp to Save Our Trees Worldwide we are seeing a devastation of our forests due to paper production. Consumption of wood products has risen 64% since 1961. Globally‚ pulp for paper‚ has risen from 40% in 1998‚ to an expected 60% over the next 50 years. The industry expects that demand to double by 2050. The U.S. consumes 200‚000‚000 tons of wood products annually‚ increasing by 4% every year. U.S. paper producers consume 1 billion trees each year (735 pounds of paper for every
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Orlando in Central Florida is a city in the U.S. The geography of Orlando is mostly wetlands‚constiting of many lakes and swamps. The terrain is generally flat ‚making the land fairly low and wet‚ dowtown Orlando has some of the most varied architecture in the area‚ featuring buildings frome the 1920’s and 1930’s and modern skyscrapers. They are lots of parks in this city (the winter park is the most popular) . You can slip in hotel‚ in a villa… you can eat in fast food‚ in a family restaurant its
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Planting Trees to Save the Planet We all know that our planet Earth is warming up and that something needs to be done on a global scale. However‚ until the governments of the world unite in action‚ we can all do our share and contribute to a worldwide effort to save our climate from going crazy. One of the best things a person can do to help our suffering planet is to plant a tree. Yes‚ one tree can make a real change. If you ask yourself how one tree can make a difference‚ please read the next
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Large Scale Universe to Milky Way SCI/151 07/07/12 Cosmology‚ as defined by Encarta Dictionary is “the philosophical study of the nature of the universe.” This concern with viewing the universe and its vast issues and meaning takes the mind into a mysterious spectrum. The very foundation of Cosmology began with Astronomer Edwin Hubble in 1929. He discovered that other galaxies existed in the universe and determined that these galaxies were moving away from each other at a rate that was constant
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Regulator Freeze Protection MICHAEL W. GILLIS P. ENG GROUP LEADER‚ MEASUREMENT AND PROCESS CONTROL ENGINEERING ATCO PIPELINES Introduction In the transportation of natural gas from wellhead to consumer‚ service conditions will be encountered which may cause the gas and equipment used to regulate and control pressure to experience freezing conditions. Ignoring these design considerations will result in reduced facility reliability and increased operating and maintenance costs. Regulator
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school and have a part time job to make money. As we would think school‚ having a job‚ working for yourself is good for you. In a Clockwork Orange everything is switched around. Basically what the young adults find good is like robbing stores‚ raping women on the street‚ having gang fights‚ the good old ultra violence. Satire: The dystopia of A Clockwork Orange has a very satirical tone. The aspect of satire in the novel is in the form of political commentary. Alex and his gang deprive the community
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The number of people in the US who are quitting their corporate jobs to start their own businesses is growing. One recent best-selling book entitled Fire your Boss! seems to reflect the growing discontent with company life. Why are so many people going into their own businesses? One of the most frustrating things about corporate life is the bureaucracy. This is the administrative system of paperwork and red tape that keeps track of everything in the corporation. Any decision must be agreed upon
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IX Mathematics Chapter 1: Number Systems Chapter Notes Key Concepts 1. 2. 3. 4. 5. Numbers 1‚ 2‚ 3…….‚ which are used for counting are called Natural numbers and are denoted by N. 0 when included with the natural numbers form a new set of numbers called Whole number denoted by W -1‚-2‚-3……………..- are the negative of natural numbers. The negative of natural numbers‚ 0 and the natural number together constitutes integers denoted by Z. The numbers which can be represented in the form of p/q where
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