ISU MAT 113 - Exam 1 Study Guide (8 pages)

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Exam 1 Study Guide

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Exam 1 Study Guide


Lecture 1-11 for Math 113

Study Guide
Illinois State University
Mat 113 - Elements of Mathematical Reasoning

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Mat 113 1st Edition Exam 1 Study Guide Lectures 1 10 Lecture 1 1 Scientific Notation a Scientific Notation can be referred to as a way of writing numbers that are too big or too small to be conveniently written in decimal form 2 Examples a 6 x 10 4 60 000 b 7 x 10 6 000007 c 3 48 x 10 11 348 000 000 000 d 8 9 x 10 9 0000000019 3 Calculator Use a If you were going to divide 2 by 4 1 5 3 you would put it in your calculator as 2 4 1 5 3 which is 2 9 4 and it equals 8 3x4 4 Conversions a 1 Yard 3 Feet b 1 Foot 12 Inches c 1 Inch 2 54 Centimeters d 1 Kilometer 1000 Meters e 1 Meter 1000 Millimeters f 1 Meter 100 Centimeters Lecture 2 How to do conversions of different units Say we want to convert meters per second to miles per hour we have two things going on We simply handle them separately The order we do that in does not matter at all We need to convert meters to miles which is the distance part of what is going on And we need to convert seconds to hours That is the time portion It looks like this meters centimeters inches feet miles and seconds minutes hours That will help you keep the process in mind A Example Problem 1 Convert 55 mph to feet per second Round to the nearest whole number and give the units as fps First you would set up a proportion 55mph 1 hour x 1 hour 60 seconds x 1 foot 12 inches You divide the mph by how much time is in an hour to get from mph to miles per second and then divide that by feet to get feet per second Next you would multiply across the top and bottom of the proportion 55x1x1 1x60x12 which equals 81 fps VI Geometry Formulas In this section we learn the basic formulas for geometric shapes The formulas are in the chart at the bottom of the study guide You can also use Pythagorean theorem to find the side lengths for right triangles that formula is a2 b2 c2 everything is squared Lecture 3 1 Heron s Formula Heron s Formula is used to fins the area of a square when you have the length of all 3 sides There are two parts to this formula S a

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