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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Stellar Numbers Results 1. Triangular Numbers Observation of the number pattern of polynomial type or different pattern needed. Identifying the order of the general term by using the difference between the succeeding numbers. Students are expected to use mathematical way of deriving the general term for the sequence. Students are expected use technology GDC to generate the 7th and 8th terms also can use other graphic packages to find the general pattern to support their result The
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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Gardner described it in the "Mathematical Games" section of Scientific American in November 1977‚ writing that‚ "In an unpublished proof‚ Graham has recently established ...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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Fibonacci number From Wikipedia‚ the free encyclopedia A tiling with squares whose side lengths are successive Fibonacci numbers An approximation of the golden spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1‚ 1‚ 2‚ 3‚ 5‚ 8‚ 13‚ 21‚ and 34. In mathematics‚ the Fibonacci numbers or Fibonacci series or Fibonacci sequence are the numbers in the following integer sequence:[1][2] 0‚\;1‚\;1‚\;2‚\;3
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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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Cardinal numbers: Definition‚ Examples Cardinal numbers We know that‚ the relation in sets defined by A~ B is an equivalence relation. Hence by fundamental theorem on equivalence relation‚ all sets are partitioned into disjoint classes of equivalent sets. Thus for any set A‚ equivalence class of A‚ [A] = { B | B ~ A } Result: - (1) [A] = [B] or [A] ∩ [B] = ∅ ‚ that is for any two sets‚ either they have same equivalence classes or totally disjoint equivalence classes.
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3 is a number‚ numeral‚ and glyph. It is the natural number following 2 and preceding 4. In mathematics Three is approximately π when doing rapid engineering guesses or estimates. The same is true if one wants a rough-and-ready estimate of e‚ which is actually approximately 2.71828. Three is the first odd prime number‚ and the second smallest prime. It is both the first Fermat prime and the first Mersenne prime‚ the only number that is both‚ as well as the first lucky prime. However‚ it is
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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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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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