PS Solution from Forums 2 1. Positive integer n leaves a remainder of 4 after division by 6 and a remainder of 3 after division by 5. If n is greater than 30‚ what is the remainder that n leaves after division by 30? (A) 3 (B) 12 (C) 18 (D) 22 (E) 28 How to approach this Problem? Positive integer n leaves a remainder of 4 after division by 6 --> --> 4‚ 10‚ 16‚ 22‚ 28‚ ... Positive integer n leaves a remainder of 3 after division by 5 --> --> 3‚ 8‚ 13‚ 18‚ 23‚ 28‚ ... - we
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Emil: thavamaniprem@yahoo.co.in D.S.T.Ramesh Department of Mathematics‚ Margocis College‚ Nazareth‚ Tuticorin‚ Tamilnadu‚ India Abstract A labeling of a simple graph G is an assignment of integers to the edges subject to certain conditions. A bijection f: E P where P is a set of positive integers is called an edge function of the graph G. The smallest number r is called the edge product number G‚ so that G∪rK2 becomes an edge product graph. In this paper we prove some results on edge product
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BUDGET OF WORK IN MATHEMATICS VI FIRST GRADING PERIOD 1. WHOLE NUMBERS A. Comprehension of Whole Numbers (Pre-requisite Skills Before BEC) 1. Reads and writes numbers through billions 2. Identifies the properties of addition/multiplication of numbers 3. Expresses a number in simple form to expanded notation and vice-versa 4. Rounds numbers to the place value specified 5. adds five or more digit numbers with four or more addends with sums through
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Chapter 1 - Section 1.1 Write the interval of real numbers in interval notation and graph it. See Example 5. 50. The set of real numbers less than or equal to -4 Consider the following nine integers: -4‚ -3‚ -2‚ -1‚ 0‚ 1‚ 2‚ 3‚ 4 94. Which of these integers has an absolute value greater than 1? Solution: -4‚ -3‚ -2‚ 2‚ 3‚ 4 Write the interval notation for the interval of real numbers shown in the graph. __________________ -50 -40 -30 -20
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SAT Math 1 & 2 Subject Tests Jonathan Spaihts Revised by Morgan Chase Cracking the * 2009–2010 Edition PrincetonReview.com Random House‚ Inc. New York The Independent Education Consultants Association recognizes The Princeton Review as a valuable resource for high school and college students applying to college and graduate school. John Katzman‚ Chairman‚ Founder Michael J. Perik‚ President‚ CEO Stephen Richards‚ COO‚ CFO John Marshall‚ President‚ Test Preparation Services
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GRADUATE RECORD EXAMINATIONS® Practice General Test #1 Section 3: Quantitative Reasoning Section 4: Quantitative Reasoning Copyright © 2010 by Educational Testing Service. All rights reserved. ETS‚ the E T S logo‚ GRADUATE RECORD EXAMINATIONS‚ and GRE are registered trademarks of Educational Testing Service (E T S) in the United States and other countries. Revised Graduate Record Examinations® General Test Practice Test Number 1 Instructions for the Verbal Reasoning
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LOG INVESTIGATION 1. INTRODUCTION The following assessment aims to investigate logarithms and several different expressions. The following sequences (from now on referred to as P roblem1 ) is in the form of an = logmn mk ‚ where n represents the term number and an represents the given answer. 1. a1 = log2 8‚ a2 = log4 8‚ a3 = log8 8‚ a4 = log16 8‚ a5 = log32 8‚ ... 2. a1 = log3 81‚ a2 = log9 81‚ a3 = log27 81‚ a4 = log81 81‚ ... 3. a1 = log5 25‚ a2 = log25 25‚ a3 = log125 25‚ a4 = log625
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marks each. You have to attempt only one of the alternatives in all such questions. (v) Use of calculators is not permitted. SECTION – A (Question numbers 1 to 10 are of one mark each.) 1. Euclid’s Division Lemma states that for any two positive integers a and b‚ there exist unique integres q and r such that a = bq + r‚ where r must satisfy : (a) 1 < r < b (b) 0 < r < b (c) 0 < r < b (d) 0 < r < b Sol. (c) 0 < r < b 2. In the figure‚ the graph of a polynomial p(x) is shown. The number of zeroes of
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will be your response? Chapter 5 Evaluation 5-1B 15. Prove that ?x ?y= ?y-x‚ for all integers x and y. 18. Find all integers x‚ if there exist any‚ such that the following are true: Evaluation 5-2 B 12. Prove that the distributive property of multiplication over addition‚ a (b+c) =ab+ac are true for all of the given values of a‚ b‚ and c: 13. Calculate the following: 17. Find the property of integers being illustrated in each of the following: Evaluation 5-3B 3. Without utilizing a calculator
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Aron Persaud Absolute Value -How far a number is from zero. Example "-6" is 6 away from zero‚ but "-6" is also 6 away from zero. So‚ the absolute value of 6 is 6‚ and the absolute value of -6 is also 6. The symbol "|" is placed either side to mean "Absolute Value"‚ so we can write: |-6| = 6 Associative property- mathematical expression means that the order of the operations can be changed or regrouped so long as the operands (numbers or terms) are not changed. Example addition: (6 + 3) + 4
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