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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NUMBER SYSTEM Definition It defines how a number can be represented using distinct symbols. A number can be represented differently in different systems‚ for instance the two number systems (2A) base 16 and (52) base 8 both refer to the same quantity though the representations are different. When we type some letters or words‚ the computer translates them in numbers as computers can understand only numbers. A computer can understand positional number system where there are only a few symbols
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Number A-7713 “Never shall I forget those flames which consumed my faith forever. […] Never shall I forget those moments which murdered my God and my soul and turned my dreams to dust. Never shall I forget these things‚ even if I am condemned to live as long as God Himself. Never” (Wiesel). This quote‚ taken from the book Night by Elie Wiesel‚ testifies to the concept of transformation for Eliezer‚ a Jewish teenager who was forced to experience the horrors of the Holocaust. Eliezer‚ when living
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Zone of Proximal Development Developed by Soviet psychologist Lev Vygotsky‚ the zone of proximal development (ZPD) refers to a metaphorical area between material a learner has mastered‚ and material that goes beyond a learner’s ability. This ‘middle-ground’ represents “potential learning” that can only occur through interactions with a ‘more advanced peer:’ teachers‚ parents‚ more capable classmates. Building upon a student’s previous knowledge‚ a teacher working within the ZPD uses scaffolding
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In this model there are three zones‚ at first the comfort zone‚ after that the learning zone and at least the panic zone. When you are getting out of your comfort zone you arrive in the learning zone‚ just across the border. In this area it is possible to grow‚ to learn‚ to be curious and explore your possibilities. Being in this area feels exciting but the safety comfort zone is only one step behind you. A trainer or coach will bring you in this area. By for example; practicing parasailing when
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Tell us about an experience in which you left your comfort zone. How did this experience change you? It was a rural development project initiated by our school in the village of Onde. We had to build a bund (a small scale dam). We had to dig mud‚ Fill it in the sacks‚ stitch the sacks and then carry the sacks to the lake to build the bund. It was the first time ever that I was doing such work. We had to work for about 7 hours on the first day. The two main things I did on day 1 was carrying the
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Convert the decimal number 125 into binary. Use the division-by-two method shown in the following example. 125 /2 = 62 r=1 62 /2 = 31 r=0 31 /2 = 15 r=1 15 /2 = 7 r=1 7 /2 = 3 r=1 3 /2 = 1 r=1 1 /2 = 0 r=1 01111101 2.Convert your binary result back into decimal to prove your answer is correct. This is also shown in the following example. Weights = 128 64 32 16 8 4 2 1 Bits = 0 1 1 1 1 1 0 1 64 + 32 + 16 + 8 + 4 + 1 = 125 Task 2: Procedure 1.Convert the binary number 10101101 into decimal
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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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Various events during ’contact’ had lasting impacts on the First Nations. The notion of wealth‚ the growing dependence on Europeans‚ and Smallpox were all events that had lasting impacts on the First Nations culture even to this day. A large impact on Aboriginal peoples was their growing dependency on European culture. Tobacco was considered a sacred medicine and the First Nations people relied on the Europeans to provide it for them. The First Nations became extrememly dependent on the Europeans
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In the Adler and Van Doren’s essay titled “The Activity and Art of Reading‚” we are asked to respond to the conclusion that a teacher can help the students‚ but the student “must do the learning.” His argument‚ for me‚ seems to be a bit difficult to follow and yet I found myself nodding my head at the same time. I am not in total agreement‚ but with my best efforts I am trying to understand‚ in full‚ the context which he communicated to his audience. Having been a former helicopter instructor myself
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