geometric shapes‚ which lead to special numbers. The simplest example of these are square numbers‚ such as 1‚ 4‚ 9‚ 16‚ which can be represented by squares of side 1‚ 2‚ 3‚ and 4. Triangular numbers are defined as “the number of dots in an equilateral triangle uniformly filled with dots”. The sequence of triangular numbers are derived from all natural numbers and zero‚ if the following number is always added to the previous as shown below‚ a triangular number will always be the outcome: 1 = 1
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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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In mathematics‚ a real number is a value that represents a quantity along a continuous line. The real numbers include all the rational numbers‚ such as the integer −5 and the fraction 4/3‚ and all the irrational numbers such as √2 (1.41421356... the square root of two‚ an irrational algebraic number) and π (3.14159265...‚ a transcendental number). Real numbers can be thought of as points on an infinitely long line called the number line or real line‚ where the points corresponding to integers are
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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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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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3/2/13 Management By The Numbers (MBTN) Course: International Marketing Managem ent w ith Marco Protano - Winter 2013 Hult Nanjing | Module: Advertising Metrics | Problem Set ID: 11 COMPANY BACKGROUND: XiaKe Digital‚ a Chinese manufacturer of electronics‚ is launching a new advertising campaign spanning both print and TV advertising for their new Music Pod. The local market has a population of 21 million adults. The company purchased a one-page newspaper ad in the Daily News generating
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Oxidation Number When elements combine to produce a compound‚ each element is assigned an “apparent” charge. This apparent charge‚ the charge an atom would have if both electrons in each bond were assigned to the more electronegative element‚ may be positive or negative. It is called the oxidation number or state of the element in the compound. Oxidation numbers are very useful in keeping track of what happens to electrons when various elements combine to form compounds. By remembering a few
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plurals-------------------------------------------------------------------------------7 Irregular plurals from Latin and Greek------------------------------------------------7 Words better known in the plural-----------------------------------------------------10 Plurals of numbers-----------------------------------------------------------------------11 Plurals and units of measure----------------------------------------------------------11 Plurals of headless nouns--------------------------------------------------------------11
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Quantum Numbers Quantum Numbers The Bohr model was a one-dimensional model that used one quantum number to describe the distribution of electrons in the atom. The only information that was important was the size of the orbit‚ which was described by the n quantum number. Schrödinger’s model allowed the electron to occupy three-dimensional space. It therefore required three coordinates‚ or three quantum numbers‚ to describe the orbitals in which electrons can be found. The three coordinates that
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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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