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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Number Systems Base 2: The Binary Number System Base 8: The Octal Number System Base 16: The Hexadecimal Number System Learning Objectives • At the end of the lesson the student should be able to: – Identify the different number base system – Convert base ten numbers to base two‚ eight or sixteen – Convert base two‚ eight or sixteen numbers to base ten – Perform basic operations on various base numbers Number Base • What is a number base? A number base is a specific collection
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The Number Devil Prima Donna Numbers Prima- donna numbers is another name for prime numbers. Prima- donna numbers/ prime numbers can only be divided evenly by one and itself. In The Number Devil‚ the Number Devil does the prima-donna numbers from 0 to 50. I created a chart‚ just like in the number devil and figured out which ones are prima-donna numbers. The number 0 does not count because if you divide a number by 0 the answer will always be 0. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
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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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IE423 FORECASTING METHODS AND APPLICATIONS FINAL REPORT Number of Marriages in Turkey Cansu Gör Ercan Yolal Fulya Bolkol Mehmet Koca May 17th‚ 2013 1. Introduction and Problem Definition Marriage is an important concept for Turkey both socially and economically. The reason why we choose the number of marriages is to analyze the impact of changing and developing deterministic factors on the number of marriages in Turkey. These factors that we choose to analyze the effect on
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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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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 q 0 and p and
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MATH 4 A. DIVISION of WHOLE NUMBERS B. DECIMALS a. PLACE VALUE of DECIMALS PLACE VALUE | Trillions | Billions | Millions | Thousands | Ones / Unit | Decimalpoint | .1 | .01 | .001 | HUNDRED | TEN | TRILLIONS | HUNDRED | TEN | BILLIONS | HUNDRED | TEN | MILLIONS | HUNDRED | TEN | THOUSANDS | HUNDREDS | TENS | ONES | | TENTHS | HUNDREDTHS | THOUSANDTHS | 5 | 8 | 9‚ | 6 | 1 | 2‚ | 7 | 4 | 5‚ | 6 | 1 | 8‚ | 3 | 2 | 5 | . | 1 | 6 | 2 | b. READING and WRITING DECIMALS
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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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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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