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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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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The reader can infer that in the story‚ The Dog That Bit People‚ Mother tended to blame others for the Airedales(Muggs) actions by reading each scheme and being able to comprehend that Mother always blames others for the actions that Muggs is doing. Thurber is quick to add many details throughout the story and reveals the many different sides of Mother. The reader may now sense how Mother’s actions towards Muggs divulge. In paragraph 7 it explains that many people would like to have Muggs tied up
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I am going to give a detailed analysis of a sequence from The Wrestler (2008) directed by Darren Aronofsky. The source I have decided to use for this analysis is the screenplay of the film‚ rather than a downloaded version of the script. The sequence I have chosen begins at 32min of the film and continues until 41:09 min. I chose this sequence because it is the most important sequence in the film‚ as it has a major influence on the events of the script that follow‚ and according to Syd Field’s Three
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people live their life‚ the way that people see things and the possibility of the future‚ in short‚ technology could change everything. However‚ from my point of view‚ technology has majorly changed our life. Food has always been the most import thing as same as water to human life. If food has changed‚ people would change too. From the film called “Food Sequence”‚ I can tell there was a big change that happened to what or how we eat over the decades. Besides‚ obesity‚ GMO and food safety have always
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Complex Number System Arithmetic A complex number is an expression in the form: a + bi where a and b are real numbers. The symbol i is defined as √ 1. a is the real part of the complex number‚ and b is the complex part of the complex number. If a complex number has real part as a = 0‚ then it is called a pure imaginary number. All real numbers can be expressed as complex numbers with complex part b = 0. -5 + 2i 3i 10 real part –5; imaginary part 2 real part 0; imaginary part 3 real part 10; imaginary
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demonstrated in Numbers. In a similar way as in Exodus‚ Gods’ provision and work in Israelites was constantly present‚ despite their continued disobedience. The establishment of the tabernacle was still emphasized in Numbers‚ the laws and regulations that they had to obey and live by. Ultimately‚ their rebellion only worsened their situation‚ God taught them a lesson‚ in which He was in control and their sinful choices brought great suffering and caused the wrath of God upon them. In Numbers‚ the establishment
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UNIVERSAL VIRTUAL CONTENT ACADEMY (UVC) CPA PAPER 5 Index numbers By the end of topic‚ participants should be able to; 1. Appreciate the usefulness of index numbers in monitoring changes over time 1. Calculate simple indices 2. Determine simple aggregate price indices 3. Use laspeyre’s and Paashe’s price indices to determine weighted indices. What is an index number? An index number is a statistical measure designed to show/ monitor changes over a period of time in the price‚ quantity
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two numbers n1 and n2such that n1 = (x – a)‚ a = (x – n1) n2 = (x - b)‚ b = (x – n2) Where x = base‚ a‚b= differences from base‚ then n1 x n2 = (x - a)(x - b) = x[(x – a) + (x – b) – x] + a*b Thus the Nikhilam Sūtra effectively breaks up a large multiplication n1 x n2 into a small multiplication (a x b) and addition [(x – a) + (x – b) – x]. Decimal multiplication using Nikhilam Sūtra : • 99 x 98 : Base as power of 10‚ n1 and n2 less than base: Consider n1 = 99 and n2 = 98 Number Difference
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MARKETING BY THE Numbers One external factor that manufacturers must consider when setting prices is reseller margins. Manufacturers do not have the final say concerning the price to consumers; retailers do. So manufacturers must start with their suggested retail prices and work back‚ subtracting out the markups required by resellers that sell the product to consumers. Once that is considered‚ manufacturers know at what price to sell their products to resellers‚ and they can determine what
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