A rational number is a number that can be written as a ratio of two integers. The decimal of a rational number will either repeat or terminate. There is a way to tell in advance whether a rational number’s decimal representation will repeat or terminate. When trying to find a pattern in the relationship between rational numbers and their decimals‚ it is best to start with a list. A random list of rational numbers and their decimal values was made in order to find a pattern. The list included ½‚ 5/6
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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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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Gardner described it in the "Mathematical Games" section of Scientific American in November 1977‚ writing that‚ "In an unpublished proof‚ Graham has recently established ...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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ABSTRACT Reynolds number can be defined as a number of varieties of situations where a fluid is in relative with motion to a surface. This experiment is to observe the behavior of the flow of fluid either it is laminar or turbulent by calculating it’s Reynolds number and the characteristic of the flow. Other than that‚ the range for laminar and turbulent flow can be calculated and the theory that Reynolds number is dimensionless can be proven. The pump is opened to let the water flow. The dye
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Figure 1: Recognizing the pattern of the "rabbit problem". If we were to keep going month by month‚ the sequence formed would be 1‚1‚2‚3‚5‚8‚13‚21 and so on. From here we notice that each new term is the sum of the previous two terms. The set of numbers is defined as the Fibonacci sequence. Mathematically speaking‚ this sequence is represented as: The Fibonacci sequence has a plethora of applications in art and in nature. One frequent finding in nature involves the use of an even more powerful
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Introduction: Whole Number is very important in the career of Medical Billing and Coding. It is the building blocks of mathematics. Working with whole numbers help you when are adding and subtracting hundreds and thousands of dollars. Then you might have to round up numbers when you are counting money. Multiplying whole numbers are very important‚ it is a repeating of addition. You have to budget Money. Dividing whole number comes when you are multiplying whole numbers II. Body: A. Whole Numbers 1. Place
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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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RATIONAL NUMBERS In mathematics‚ a rational number is any number that can be expressed as the quotient or fraction p/q of two integers‚ with the denominator q not equal to zero. Since q may be equal to 1‚ every integer is a rational number. The set of all rational numbers is usually denoted by a boldface Q it was thus named in 1895 byPeano after quoziente‚ Italian for "quotient". The decimal expansion of a rational number always either terminates after a finite number of digits or begins to repeat the
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Problems on NUMBERS Q. 1 to Q. 10 Check the divisibility for the following numbers whether these are divisible by 2‚ 3‚ 4‚ 5‚ 6‚ 7‚ 8‚ 9‚ 11‚ and 12. Test for all Factors among the above mentioned numbers. 191 1221 11111 10101 512 3927 34632 4832718 583360 47900160 Q. 11. Simplify (46 + 18 * 6 + 4) / (12 * 12 + 8 *12) = ? Q. 12 On dividing a number by 999‚ the quotient is 366 and the remainder is 103. The number is Q. 13 Simplify (272 - 32)(124 + 176) / (17 * 15 - 15)
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