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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Real Number Properties In this assignment we were asked to solve three expressions using the properties of real numbers in order to do so. Each of the real number properties are essential in solving algebraic expressions. Although you may not need to use all of them in the same expression to solve you will need to use at least one. In this paper I will demonstrate the use of the properties and show the steps needed to solve each part of an expression. Understanding the properties of algebra
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universal precautions. Suppose the spread of a direct contact disease in a stadium is modeled by the exponential equation P(t) = 10‚000/(1 + e3-t) where P(t) is the total number of people infected after t hours. (Use the estimate for e (2.718) or the graphing calculator for e in your calculations.) 1. Estimate the initial number of people infected with the disease. Show how you found your answer. Answer: A total of 474 people would be initially infected. Equation: p(0)=10‚000/(1+3^3) ~ 474
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------------------------------------------------- Real number In mathematics‚ a real number is a value that represents a quantity along a continuum‚ such as 5 (an integer)‚ 3/4 (a rational number that is not an integer)‚ 8.6 (a rational number expressed in decimal representation)‚ and π (3.1415926535...‚ an irrational number). As a subset of the real numbers‚ the integers‚ such as 5‚ express discrete rather than continuous quantities. Complex numbers include real numbers as a special case. Real numbers can be divided into rational
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TUTORIAL: NUMBER SYSTEM 1. Determine whether each statement is true or false a) Every counting number is an integer b) Zero is a counting number c) Negative six is greater than negative three d) Some of the integers is natural numbers 2. List the number describe and graph them on the number line a) The counting number smaller than 6 b) The integer between -3 and 3 3. Given S = {-3‚ 0‚[pic]‚ [pic]‚ e‚ ‚ 4‚ 8…}‚ identify the set of (a) natural numbers (b) whole numbers (c) integers
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Real Numbers -Real Numbers are every number. -Therefore‚ any number that you can find on the number line. -Real Numbers have two categories‚ rational and irrational. Rational Numbers -Any number that can be expressed as a repeating or terminating decimal is classified as a rational number Examples of Rational Numbers 6 is a rational number because it can be expressed as 6.0 and therefore it is a terminating decimal. -7 ½ is a rational number because it can be expressed as -7.5 which is a
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Inequalities Maths Compiled By : OP Gupta [+91-9650 350 480 | +91-9718 240 480] Exercise 6.1 Question 1: Solve 24x < 100‚ when (i) x is a natural number (ii) x is an integer Answer The given inequality is 24x < 100. (i) It is evident that 1‚ 2‚ 3‚ and 4 are the only natural numbers less than . Thus‚ when x is a natural number‚ the solutions of the given inequality are 1‚ 2‚ 3‚ and 4. Hence‚ in this case‚ the solution set is {1‚ 2‚ 3‚ 4}. (ii) The integers less than are …–3
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THE REAL NUMBER SYSTEM The real number system evolved over time by expanding the notion of what we mean by the word “number.” At first‚ “number” meant something you could count‚ like how many sheep a farmer owns. These are called the natural numbers‚ or sometimes the counting numbers. Natural Numbers or “Counting Numbers” 1‚ 2‚ 3‚ 4‚ 5‚ . . . * The use of three dots at the end of the list is a common mathematical notation to indicate that the list keeps going forever. At some point‚ the
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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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school curriculum is just not enough to prepare students for the real world. Our schools have become too old-fashioned. Today‚ success in the real world is not about memorizing the periodic table or the quadratic equation. It’s not about studying for hours the night before a test to get a 100 percent‚ then forget it all the next week. School should be about how to apply these sciences and arts to the real world. In the real world‚ if you need to know something for your job‚ you look it up
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