Ratio, Proportion, and Percent


 Alexia Marsh
 2 years ago
 Views:
Transcription
1 PreAlgebra Ratio, Proportion, and Percent Copyright This publication The Northern Alberta Institute of Technology All Rights Reserved. LAST REVISED June, 2007
2
3 Statement of Prerequisite Skills Complete all previous TLM modules before beginning this module. Required Supporting Materials Access to the World Wide Web. Internet Explorer 5.5 or greater. Macromedia Flash Player. Rationale Why is it important for you to learn this material? Ratio, proportion, and percent are basic math skills that the student will encounter in many applied situations. These skills are also essential to a beginning algebra student. Learning Outcome When you complete this module you will be able to Solve problems using ratio, proportion, and percent. Learning Objectives. Determine equivalent ratios and solve. 2. Change percent to fractions. 3. Change fractions to percent. 4. Change percent to decimals. 5. Change decimals to percent. 6. Solve percent questions. 7. Solve percent error in measurement problems. Connection Activity Consider the many times you have encountered fractions or percentages in daily life: /3 off regular cost 7% gst Top 5% of the class What percentage of your paycheck do you spend in rent? Can you think of other applications of ratio, proportion, and percent?
4 OBJECTIVE ONE When you complete this objective you will be able to Determine equivalent ratios and solve. Exploration Activity A ratio is a comparison of two quantities. The ratio of one number to another is the first number divided by the second number. That is, the ratio of a to b is: a b Therefore, a ratio is a comparison of numbers by division. EXAMPLE NOTE: a) The ratio of 2 to 9 is b) The ratio of 7 to 3 is A PROPORTION is a statement of equality between two ratios; 2 4 i.e. is a proportion
5 EXAMPLE 2 If a car travels 80 km in 2 hours, the ratio of distance to time is: 80km 2h reducing this gives us; and 40km h 80km 40km 2h h The ratios are equal. CHECK: To see if the ratios are equal, perform the cross products If this is true, then: The cross products are equal, therefore the ratios are equal. The general statement for the equality of 2 ratios is: a c if b d then a d b c Notice the proportion has 4 components which are a, b, c, and d. We use ratios to solve problems when we are given 3 of these 4 components. 3
6 EXAMPLE 3 a x b d If we are given the values for a, b, d, then we could solve for x. x b a d a d x b EXAMPLE 4 The ratio of a given number to 3 is the same as the ratio of 6 to 6. Find the given number.. Maintain proper order; i.e. use given number to 3 and 6 to 6 given number Let x given number x If these ratios are equal then 6 ( x) 6( 3) 6 x 6 x 8 () 3 4. Check by using cross products in original proportion () 8 3( 6) The cross products are equal, therefore: x 8 is correct. 4
7 EXAMPLE 5 On a blueprint the scale is km to 25 cm. What is the actual distance between 2 points, if they are 5 cm apart?. Maintain order i.e. km to cm x let x actual distance and write ratios 5 25 x () () x x 5 25 km 5 x 0.2 km CHECK: () 25(0.2) 5 5 x 0.2 km is correct 5
8 EXAMPLE 6 A cedar board 8 m long is cut into two pieces that are in the ratio :4. Find the length of each piece. SOLUTION: Total number of units is Total 5 Therefore: 5  total number of parts 8  total length of board Therefore the ratio is either: smaller piece total or larger piece total or let x the length of the shorter piece. Therefore: x 5 8 x Shorter piece.6 m Longer piece 6.4 m 6
9 Experiential Activity One I. Solve the given proportions for x x x x 5 9 II. Solve the given problems by setting up the proper proportion. 4. The ratio of a number to 5 is the same as the ratio of 7 to 60. Find the number. 5. The ratio of a number to 40 is the same as the ratio of 7 to 6. Find the number g 2 lb; what weight in grams is 0 lbs? 7. Medication contains 2 substances, A and B, in the ratio of 3 to 5 respectively. If there is 200 mg of substance B, how many mg of substance A is there? 8. A 6 m length of pipe is cut into 2 parts that are in the ratio 8 to. Find the length of each part. Show Me. 9. A 5 m length of 2 by 0 planking is to be cut into 2 parts that are in the ratio of 4 to 3. Find the length of each part. Experiential Activity One Answers m, 5.33 m m, 2.4 m 7
10 OBJECTIVE TWO When you complete this objective you will be able to Change percent to fractions. Exploration Activity Percent To this point we have used fractions and decimals for representing parts of a unit or quantity. Now we will consider the concept of percent and shall find that percentages are useful in numerous applications. The word percent means by the hundred. Therefore, percent represents a decimal fraction with a denominator of 00. The symbol % is used to denote percent. EXAMPLE For 5% the denominator is 00 Write the fraction with a numerator 5 and get Reduce the fraction and get EXAMPLE 2 3 % : 4 the denominator is 00. Numerator is Write fraction Reduce and apply rules for dividing fractions
11 EXAMPLE 3 5 %: the denominator is Numerator is Write fraction 00 Reduce
12 Experiential Activity Two Change the following percent to fractions.. 50% 2. % % 4. 2% 4 5. % % % 8. 2 % Show Me % 0. 8 % Experiential Activity Two Answers
13 OBJECTIVE THREE When you complete this objective you will be able to Change fractions to percent. Exploration Activity Fractions EXAMPLE Change 3 5 to a percent. Use ratio and proportion. 3 is to 5 as a number is to 00 (% means per hundred) Let x a number Solve for x 3 x x x 5 60 so, 60% 00 and 3 60% 5
14 EXAMPLE 2 Change 5. So 5 is to 6 as a number is to Let x a number so we get, 5 x 6 00 Write ratios 6 x 5 00 Solve for x 5 00 x 6 x so, 83.3% 00 5 and 83.3% 6 2
15 Experiential Activity Three Change the following to percent.. 3/4 2. /00 3. /8 4. 4/5 Show Me. 5. /50 6. /4 Experiential Activity Three Answers. 75% 2. % % 4. 80% 5. 2% 6. 25% 3
16 OBJECTIVE FOUR When you complete this objective you will be able to Change percent to decimals. Exploration Activity EXAMPLE Change 25% to a decimal. Write it as a fraction with denominator 00 Divide by EXAMPLE 2 3 Write % as a decimal. Write it as a fraction with denominator Simplify the fraction
17 Experiential Activity Four Change the following percents to decimals.. 75% 3 2. % % % % % Show Me. 5 Experiential Activity Four Answers
18 OBJECTIVE FIVE When you complete this objective you will be able to Change decimals to percent. Exploration Activity EXAMPLE 0.5 % (multiply by 00) CHECK: % Change percent to decimal by dividing by % EXAMPLE 2. % (multiply by 00) CHECK:. 0% Change percent to decimal by dividing by %. 00 EXAMPLE % (multiply by 00) % CHECK: Change percent to decimal by dividing by %
19 Experiential Activity Five Change the following decimals to a percent Show Me Experiential Activity Five Answers. 0% 2. 80% 3. 25% % % 6. 5% 7
20 OBJECTIVE SIX When you complete this objective you will be able to Solve percent questions. Exploration Activity All problems using percent will be done using ratios. Therefore all percent problems can be grouped into 3 types. TYPE I: Calculate the percent of a quantity. Example: Find 30% of 75 TYPE II: Determine what percent one quantity is of another. Example: 25 is what percent of 60? TYPE III: Determine the quantity from percentage and percent. Example: 25 is 50% of what number? The following model will be used to solve all percentage problems: ( ) ( 2) () 3 ( 4) These are 4 positions; one of them is always taken up by the number 00 because percent is always based out of 00. ( ) () 3 ( 4) 00 Percent always goes over % 00 () 3 ( 4)
21 Finding the percent of a number the number always goes in position 4. % 00 of () 3 a number In position (3) we find the answer. % 00 of answer a number This is the model we will use to solve percent problems. TYPE I Problems EXAMPLE Find 30% of 75. One position is taken up by 00. Percent always goes over ? 00? We are finding 30% of the number 75. Answer in last position. 30 answer Replace the word answer with the variable x, 30 x Solve: ( x) ( 30)( 75) x x 00 x 22.5 Therefore: 30% of
22 EXAMPLE 2 Find 60% of 35. Place the 00. Then 60% goes over ? 00? 60% of the number 35 goes where? Answer x, goes where? 60 x Solve 00 x ( 60)( 35) ( 60)( 35) x 00 Therefore: 60% of 35 Fill in the blank. All problems finding the percent of a certain number are called TYPE. TYPE II Problems % 00 EXAMPLE answer of a number 36 is what percent of 48? Fill in the 00. Percent over 00. We do not know this value. Let it x. x (48)(x) (36)(00) (36)(00) x (48) x is 75% of 48.
23 EXAMPLE 2 8 is what percent of 72? Place 00. Percent over 00. x x ( 8)( 00) x 25 Fill in the blank. Therefore: 8 is % of 72. TYPE III Problems % 00 of answer a number EXAMPLE 30 is 50% of what number? Place the 00. Percent over % of a number. We do not know the number, therefore let x the number x ( 50 )( x) ( 30)( 00) x Fill in the blanks. Therefore: 30 is 50% of? 2
24 EXAMPLE 2 8 is 25% of what number? Place the 00. % over 00. Let x the number Fill in the blanks. ( 25 )( x) ( 8)( 00) x Therefore: 8 is 25% of? 22
25 Experiential Activity Six Solve for the following:. 52% of % of % of % of is what percent of 250? is what percent of 48? Show Me is what percent of 3.5? is what percent of 30? 9. 7 is 30% of what number? 0. 8 is 75% of what number? Show Me is 0% of what number? is 90% of what number? The following exercise is a review of the 3 types of percent problems just presented in this module. Complete the table as shown in number and solve for the indicated unknown. Problem Type I, II, III Model Solution. 4 is what % of 52 II x x? 2. 30% of is 30% of a number 4..75% of a number is % of is what % of 75? is 95% of what number? 8. 95% of is what % of 90? 0. 3% of a number is 7 23
26 Experiential Activity Six Answers % % 7. 4% % ANSWERS for review exercise % % %
27 OBJECTIVE SEVEN When you complete this objective you will be able to Solve percent error in measurement problems. Exploration Activity The percent error in a measurement is calculated from: measured value true value % error 00 true value EXAMPLE In a laboratory experiment a student determined the velocity of sound to be 352 m/s. The true value under the same conditions is 343 m/s. Determine the percent error in the measurement. Solution: True value 343 m/s Measured value 352 m/s Substituting into the above equation, we get % error % Notice the answer is positive. If the measurement were less than the true value the answer would have been negative. 25
28 Experiential Activity Seven. An airport runway is measured to be 5362 m in length. Its true value was supposed to be 5400 m. Find the percent error in the length of the runway. 2. A surveyor's tape reads 00 m. However on a particular day it is actually 00.2 m in length. Find the percent error in its length. 3. A grocer's scale reads 3 kg on an item that is actually 2.85 kg. Find the percent error in the measurement. Is the customer getting a deal? 4. If the present length of a steel rail is 3.0 m, what will be its length after a 0.5 percent expansion caused by heating? 5. The volume of a gas is measured to be 58.5 ml. If this is 6% lower than the true volume, what is the true volume? Show Me. Experiential Activity Seven Answers % % %; no m ml Practical Application Activity Complete the ratio, proportion, and percent module assignment in TLM. Summary This module introduced the student to the basic concepts of ratio, proportion, and percent. 26
29
30
Chapter 1: Order of Operations, Fractions & Percents
HOSP 1107 (Business Math) Learning Centre Chapter 1: Order of Operations, Fractions & Percents ORDER OF OPERATIONS When finding the value of an expression, the operations must be carried out in a certain
More informationPERCENTS. Percent means per hundred. Writing a number as a percent is a way of comparing the number with 100. For example: 42% =
PERCENTS Percent means per hundred. Writing a number as a percent is a way of comparing the number with 100. For example: 42% = Percents are really fractions (or ratios) with a denominator of 100. Any
More information5.4 Solving Percent Problems Using the Percent Equation
5. Solving Percent Problems Using the Percent Equation In this section we will develop and use a more algebraic equation approach to solving percent equations. Recall the percent proportion from the last
More informationPreparation for BioScience Academy Math Assessment Test
Preparation for BioScience Academy Math Assessment Test Math is an essential component of laboratory science and solid math skills are required for a successful career in this field. To be eligible for
More informationPREPARATION FOR MATH TESTING at CityLab Academy
PREPARATION FOR MATH TESTING at CityLab Academy compiled by Gloria Vachino, M.S. Refresh your math skills with a MATH REVIEW and find out if you are ready for the math entrance test by taking a PRETEST
More informationLesson Plan  Percent of a Number/Increase and Decrease
Lesson Plan  Percent of a Number/Increase and Decrease Chapter Resources  Lesson 411 Find a Percent of a Number  Lesson 411 Find a Percent of a Number Answers  Lesson 412 Percent of Increase and
More informationREVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52
REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts which are taught in the specified math course.
More informationHESI PREP TEST. SLC Lake Worth Math Lab
1 PREP TEST 2 Explanation of scores: 90% to 100%: Excellent Super job! You have excellent Math skills and should have no difficulty calculating medication administration problems in your program. 80% to
More informationMATH FOR NURSING MEASUREMENTS. Written by: Joe Witkowski and Eileen Phillips
MATH FOR NURSING MEASUREMENTS Written by: Joe Witkowski and Eileen Phillips Section 1: Introduction Quantities have many units, which can be used to measure them. The following table gives common units
More informationUsing Proportions to Solve Percent Problems I
RP71 Using Proportions to Solve Percent Problems I Pages 46 48 Standards: 7.RP.A. Goals: Students will write equivalent statements for proportions by keeping track of the part and the whole, and by solving
More informationMaths Workshop for Parents 2. Fractions and Algebra
Maths Workshop for Parents 2 Fractions and Algebra What is a fraction? A fraction is a part of a whole. There are two numbers to every fraction: 2 7 Numerator Denominator 2 7 This is a proper (or common)
More informationHow Far Away is That? Ratios, Proportions, Maps and Medicine
38 How Far Away is That? Ratios, Proportions, Maps and Medicine Maps A ratio is simply a fraction; it gives us a way of comparing two quantities. A proportion is an equation that has exactly one ratio
More informationFree PreAlgebra Lesson 55! page 1
Free PreAlgebra Lesson 55! page 1 Lesson 55 Perimeter Problems with Related Variables Take your skill at word problems to a new level in this section. All the problems are the same type, so that you can
More informationNegative Exponents and Scientific Notation
3.2 Negative Exponents and Scientific Notation 3.2 OBJECTIVES. Evaluate expressions involving zero or a negative exponent 2. Simplify expressions involving zero or a negative exponent 3. Write a decimal
More informationHow do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.
The verbal answers to all of the following questions should be memorized before completion of prealgebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics
More informationAccuplacer Arithmetic Study Guide
Testing Center Student Success Center Accuplacer Arithmetic Study Guide I. Terms Numerator: which tells how many parts you have (the number on top) Denominator: which tells how many parts in the whole
More information4.4 Equations of the Form ax + b = cx + d
4.4 Equations of the Form ax + b = cx + d We continue our study of equations in which the variable appears on both sides of the equation. Suppose we are given the equation: 3x + 4 = 5x! 6 Our first step
More information6 Proportion: Fractions, Direct and Inverse Variation, and Percent
6 Proportion: Fractions, Direct and Inverse Variation, and Percent 6.1 Fractions Every rational number can be written as a fraction, that is a quotient of two integers, where the divisor of course cannot
More informationEquations Involving Fractions
. Equations Involving Fractions. OBJECTIVES. Determine the ecluded values for the variables of an algebraic fraction. Solve a fractional equation. Solve a proportion for an unknown NOTE The resulting equation
More informationSolutions of Linear Equations in One Variable
2. Solutions of Linear Equations in One Variable 2. OBJECTIVES. Identify a linear equation 2. Combine like terms to solve an equation We begin this chapter by considering one of the most important tools
More informationTeaching PreAlgebra in PowerPoint
Key Vocabulary: Numerator, Denominator, Ratio Title Key Skills: Convert Fractions to Decimals Long Division Convert Decimals to Percents Rounding Percents Slide #1: Start the lesson in Presentation Mode
More information1 Introduction The Scientific Method (1 of 20) 1 Introduction Observations and Measurements Qualitative, Quantitative, Inferences (2 of 20)
The Scientific Method (1 of 20) This is an attempt to state how scientists do science. It is necessarily artificial. Here are MY five steps: Make observations the leaves on my plant are turning yellow
More informationRatios (pages 288 291)
A Ratios (pages 2 29) A ratio is a comparison of two numbers by division. Ratio Arithmetic: to : Algebra: a to b a:b a b When you write a ratio as a fraction, write it in simplest form. Two ratios that
More informationMath Circle Beginners Group October 18, 2015
Math Circle Beginners Group October 18, 2015 Warmup problem 1. Let n be a (positive) integer. Prove that if n 2 is odd, then n is also odd. (Hint: Use a proof by contradiction.) Suppose that n 2 is odd
More informationACCUPLACER MATH TEST REVIEW
ACCUPLACER MATH TEST REVIEW ARITHMETIC ELEMENTARY ALGEBRA COLLEGE ALGEBRA The following pages are a comprehensive tool used to maneuver the ACCUPLACER UAS Math portion. This tests your mathematical capabilities
More informationCONTENTS. Please note:
CONTENTS Introduction...iv. Number Systems... 2. Algebraic Expressions.... Factorising...24 4. Solving Linear Equations...8. Solving Quadratic Equations...0 6. Simultaneous Equations.... Long Division
More informationStudent Outcomes. Lesson Notes. Classwork. Exercises 1 and 2 (3 minutes) Socratic Discussion (3 minutes)
Student Outcomes Students continue to practice working with very small and very large numbers expressed in scientific notation. Students read, write, and perform operations on numbers expressed in scientific
More informationDimensional Analysis is a simple method for changing from one unit of measure to another. How many yards are in 49 ft?
HFCC Math Lab NAT 05 Dimensional Analysis Dimensional Analysis is a simple method for changing from one unit of measure to another. Can you answer these questions? How many feet are in 3.5 yards? Revised
More informationPrealgebra Textbook. Chapter 6 Odd Solutions
Prealgebra Textbook Second Edition Chapter 6 Odd Solutions Department of Mathematics College of the Redwoods 20122013 Copyright All parts of this prealgebra textbook are copyrighted c 2009 in the name
More informationFigure 1. A typical Laboratory Thermometer graduated in C.
SIGNIFICANT FIGURES, EXPONENTS, AND SCIENTIFIC NOTATION 2004, 1990 by David A. Katz. All rights reserved. Permission for classroom use as long as the original copyright is included. 1. SIGNIFICANT FIGURES
More informationModuMath Algebra Lessons
ModuMath Algebra Lessons Program Title 1 Getting Acquainted With Algebra 2 Order of Operations 3 Adding & Subtracting Algebraic Expressions 4 Multiplying Polynomials 5 Laws of Algebra 6 Solving Equations
More informationMath Refresher. Book #2. Workers Opportunities Resources Knowledge
Math Refresher Book #2 Workers Opportunities Resources Knowledge Contents Introduction...1 Basic Math Concepts...2 1. Fractions...2 2. Decimals...11 3. Percentages...15 4. Ratios...17 Sample Questions...18
More informationLESSON PLANS FOR PERCENTAGES, FRACTIONS, DECIMALS, AND ORDERING Lesson Purpose: The students will be able to:
LESSON PLANS FOR PERCENTAGES, FRACTIONS, DECIMALS, AND ORDERING Lesson Purpose: The students will be able to: 1. Change fractions to decimals. 2. Change decimals to fractions. 3. Change percents to decimals.
More informationEXPRESSIONS, YOU SIMPLIFY.
3.2. SOLVING RATIONAL EQUATIONS What is the difference between a rational expression and a rational equation? A rational expression is an incomplete mathematical sentence. Rational expressions are simplified.
More informationModule 2: Working with Fractions and Mixed Numbers. 2.1 Review of Fractions. 1. Understand Fractions on a Number Line
Module : Working with Fractions and Mixed Numbers.1 Review of Fractions 1. Understand Fractions on a Number Line Fractions are used to represent quantities between the whole numbers on a number line. A
More informationThis assignment will help you to prepare for Algebra 1 by reviewing some of the things you learned in Middle School. If you cannot remember how to complete a specific problem, there is an example at the
More informationIntegers, I, is a set of numbers that include positive and negative numbers and zero.
Grade 9 Math Unit 3: Rational Numbers Section 3.1: What is a Rational Number? Integers, I, is a set of numbers that include positive and negative numbers and zero. Imagine a number line These numbers are
More informationMake the denominators the same, convert the numerators by multiplying, then add the numerators.
Experience & Outcome: MNU 207a I have investigated the everyday contexts in which simple fractions, percentages or decimal fractions are used and can carry out the necessary calculations to solve related
More informationThree Types of Percent Problems
6.4 Three Types of Percent Problems 6.4 OBJECTIVES. Find the unknown amount in a percent problem 2. Find the unknown rate in a percent problem 3. Find the unknown base in a percent problem From your work
More informationChapter 7. ggrams, unit measure of weight mmeters, unit measure of length lliters, unit measure of volume
Chapter 7 ggrams, unit measure of weight mmeters, unit measure of length lliters, unit measure of volume ) find cm, cm, 5mm, 60mm, 05mm, dm,.dm,.5cm, 0.5cm One liter of coke. The amount of
More informationWheels Diameter / Distance Traveled
Mechanics Teacher Note to the teacher On these pages, students will learn about the relationships between wheel radius, diameter, circumference, revolutions and distance. Students will use formulas relating
More informationMATH0910 Review Concepts (Haugen)
Unit 1 Whole Numbers and Fractions MATH0910 Review Concepts (Haugen) Exam 1 Sections 1.5, 1.6, 1.7, 1.8, 2.1, 2.2, 2.3, 2.4, and 2.5 Dividing Whole Numbers Equivalent ways of expressing division: a b,
More informationSolving Rational Equations
Lesson M Lesson : Student Outcomes Students solve rational equations, monitoring for the creation of extraneous solutions. Lesson Notes In the preceding lessons, students learned to add, subtract, multiply,
More informationHealthcare Math: Converting Measurements & Calculating Dosage per Body Weight
Healthcare Math: Converting Measurements & Calculating Dosage per Body Weight Industry: Healthcare Content Area: Mathematics Core Topics: Using the metric system, converting units of measurement using
More informationExponents. Exponents tell us how many times to multiply a base number by itself.
Exponents Exponents tell us how many times to multiply a base number by itself. Exponential form: 5 4 exponent base number Expanded form: 5 5 5 5 25 5 5 125 5 625 To use a calculator: put in the base number,
More informationTraining Manual. PreEmployment Math. Version 1.1
Training Manual PreEmployment Math Version 1.1 Created April 2012 1 Table of Contents Item # Training Topic Page # 1. Operations with Whole Numbers... 3 2. Operations with Decimal Numbers... 4 3. Operations
More informationFive Ways to Solve Proportion Problems
Five Ways to Solve Proportion Problems Understanding ratios and using proportional thinking is the most important set of math concepts we teach in middle school. Ratios grow out of fractions and lead into
More informationOrder of Operations. 2 1 r + 1 s. average speed = where r is the average speed from A to B and s is the average speed from B to A.
Order of Operations Section 1: Introduction You know from previous courses that if two quantities are added, it does not make a difference which quantity is added to which. For example, 5 + 6 = 6 + 5.
More informationPAYCHEX, INC. BASIC BUSINESS MATH TRAINING MODULE
PAYCHEX, INC. BASIC BUSINESS MATH TRAINING MODULE 1 Property of Paychex, Inc. Basic Business Math Table of Contents Overview...3 Objectives...3 Calculator...4 Basic Calculations...6 Order of Operation...9
More informationHow to Solve Drug Dosage Problems
How to Solve Drug Dosage Problems General Information    page 2 Converting between units 
More informationInstructions for SA Completion
Instructions for SA Completion 1 Take notes on these Pythagorean Theorem Course Materials then do and check the associated practice questions for an explanation on how to do the Pythagorean Theorem Substantive
More informationONE. New. O^ irpfi'rsooi ^'ia./i /^ ^^ ' Date _/_," ' SAULT CULLiU? ubrary \ SAUL^ sre MARIE DOC #351 SAULT COLLEGE OF APPLIED ARTS & TECHNOLOGY
DOC #351 SAULT COLLEGE OF APPLIED ARTS & TECHNOLOGY SAULT STE. MARIE, ONTARIO COURSE OUTLINE Course Title: Code No; Program Semester: Date Author: MATHEMATICS FOR ADMINISTRATION OF MEDICATIONS NUR 109
More informationMath 0306 Final Exam Review
Math 006 Final Exam Review Problem Section Answers Whole Numbers 1. According to the 1990 census, the population of Nebraska is 1,8,8, the population of Nevada is 1,01,8, the population of New Hampshire
More informationMath Review. for the Quantitative Reasoning Measure of the GRE revised General Test
Math Review for the Quantitative Reasoning Measure of the GRE revised General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important
More informationChapter 2 Measurement and Problem Solving
Introductory Chemistry, 3 rd Edition Nivaldo Tro Measurement and Problem Solving Graph of global Temperature rise in 20 th Century. Cover page Opposite page 11. Roy Kennedy Massachusetts Bay Community
More informationChapter 3: Ratio, Proportion & Percent
HOSP 1107 (Business Math) Learning Centre Chapter 3: Ratio, Proportion & Percent RATIO A ratio is a comparison of the relative values of numbers or quantities. We can write a ratio for any statement containing
More informationMOST COMMON METRIC UNITS USED IN THE MEDICAL FIELD *BASE. deci. King Henry Died (from a) Disease Called Mumps. (k) (h) (da) gram (g) (d) (c) (m)
MOST COMMON METRIC UNITS USED IN THE MEDICAL FIELD Micro (mc) microgram 0 6 One millionth 0.00000 Milli (m) milligram milliliter* millimeter 0 3 One thousandth 0.00 Centi (c) centimeter 0 2 One hundredth
More informationPROBLEM SOLVING BY DIMENSIONAL ANALYSIS
PROBLEM SOLVING BY DIMENSIONAL ANALYSIS Problem solving in chemistry almost always involves word problems or storyproblems. Although there is no single method for solving all types of problems encountered
More informationTemperature Scales. The metric system that we are now using includes a unit that is specific for the representation of measured temperatures.
Temperature Scales INTRODUCTION The metric system that we are now using includes a unit that is specific for the representation of measured temperatures. The unit of temperature in the metric system is
More informationAll the examples in this worksheet and all the answers to questions are available as answer sheets or videos.
BIRKBECK MATHS SUPPORT www.mathsupport.wordpress.com Numbers 3 In this section we will look at  improper fractions and mixed fractions  multiplying and dividing fractions  what decimals mean and exponents
More informationparent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE FIVE
TM parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE FIVE 5 America s schools are working to provide higher quality instruction than ever before. The way we taught students in the past simply does
More informationConversions in the Metric System
The metric system is a system of measuring. It is used for three basic units of measure: metres (m), litres (L) and grams (g). Measure of Example Litres (L) Volume 1 L of juice Basic Units Grams (g) Mass
More informationAlgebra I Credit Recovery
Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,
More informationSolve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. Solve word problems that call for addition of three whole numbers
More information2.2 Scientific Notation: Writing Large and Small Numbers
2.2 Scientific Notation: Writing Large and Small Numbers A number written in scientific notation has two parts. A decimal part: a number that is between 1 and 10. An exponential part: 10 raised to an exponent,
More informationMultiplying Fractions
. Multiplying Fractions. OBJECTIVES 1. Multiply two fractions. Multiply two mixed numbers. Simplify before multiplying fractions 4. Estimate products by rounding Multiplication is the easiest of the four
More information1. Metric system developed in Europe (France) in 1700's, offered as an alternative to the British or English system of measurement.
GS104 Basics Review of Math I. MATHEMATICS REVIEW A. Decimal Fractions, basics and definitions 1. Decimal Fractions  a fraction whose deonominator is 10 or some multiple of 10 such as 100, 1000, 10000,
More informationCommon Core Standards for Mathematics Grade 4 Operations & Algebraic Thinking Date Taught
Operations & Algebraic Thinking Use the four operations with whole numbers to solve problems. 4.OA.1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 7 as a statement that 35
More informationFlorida Math 0018. Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies  Lower
Florida Math 0018 Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies  Lower Whole Numbers MDECL1: Perform operations on whole numbers (with applications, including
More informationLearning new things and building basic skills
Math Review TABE Answer Key 2 Learning new things and building basic skills may be challenging for you, but they also can be very exciting. When you follow the guidelines for learning basic skills, you
More informationBPS Math Year at a Glance (Adapted from A Story Of Units Curriculum Maps in Mathematics K5) 1
Grade 4 Key Areas of Focus for Grades 35: Multiplication and division of whole numbers and fractionsconcepts, skills and problem solving Expected Fluency: Add and subtract within 1,000,000 Module M1:
More informationSquare roots, Inequality Symbols, and More with Fractions
Square roots, Inequality Symbols, and More with Fractions This section discusses some terminology and more how on how to simplify fractions without a calculator. Square roots: The square root symbol is.
More informationMetric System Calculations
Metric System Calculations Many of the calculations needed in nursing practice relate to the metric system. Below are two simple ways to remember some of the key calculations GRAMS MILLIGRAMS MICROGRAMS
More informationCalculating Drug Dosages
Calculating Drug Dosages Calculating Doses from Prepared Strength Liquids, Tablets, and Capsules Calculating With Proportions 1. Convert to a consistent unit of measure. 2. Set up a proportion: Original
More informationPart 1 Expressions, Equations, and Inequalities: Simplifying and Solving
Section 7 Algebraic Manipulations and Solving Part 1 Expressions, Equations, and Inequalities: Simplifying and Solving Before launching into the mathematics, let s take a moment to talk about the words
More informationCOMPASS Numerical Skills/PreAlgebra Preparation Guide. Introduction Operations with Integers Absolute Value of Numbers 13
COMPASS Numerical Skills/PreAlgebra Preparation Guide Please note that the guide is for reference only and that it does not represent an exact match with the assessment content. The Assessment Centre
More informationChapter 1 Lecture Notes: Science and Measurements
Educational Goals Chapter 1 Lecture Notes: Science and Measurements 1. Explain, compare, and contrast the terms scientific method, hypothesis, and experiment. 2. Compare and contrast scientific theory
More informationPreAlgebra  Order of Operations
0.3 PreAlgebra  Order of Operations Objective: Evaluate expressions using the order of operations, including the use of absolute value. When simplifying expressions it is important that we simplify them
More informationFourth Grade Math Standards and "I Can Statements"
Fourth Grade Math Standards and "I Can Statements" Standard  CC.4.OA.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and
More informationMATH 095, College Prep Mathematics: Unit Coverage Prealgebra topics (arithmetic skills) offered through BSE (Basic Skills Education)
MATH 095, College Prep Mathematics: Unit Coverage Prealgebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,
More informationRevision Notes Adult Numeracy Level 2
Revision Notes Adult Numeracy Level 2 Place Value The use of place value from earlier levels applies but is extended to all sizes of numbers. The values of columns are: Millions Hundred thousands Ten thousands
More informationCHAPTER 4 DIMENSIONAL ANALYSIS
CHAPTER 4 DIMENSIONAL ANALYSIS 1. DIMENSIONAL ANALYSIS Dimensional analysis, which is also known as the factor label method or unit conversion method, is an extremely important tool in the field of chemistry.
More information5.4 The Quadratic Formula
Section 5.4 The Quadratic Formula 481 5.4 The Quadratic Formula Consider the general quadratic function f(x) = ax + bx + c. In the previous section, we learned that we can find the zeros of this function
More informationEXPONENTS. To the applicant: KEY WORDS AND CONVERTING WORDS TO EQUATIONS
To the applicant: The following information will help you review math that is included in the Paraprofessional written examination for the Conejo Valley Unified School District. The Education Code requires
More informationMotion. Complete Table 1. Record all data to three decimal places (e.g., 4.000 or 6.325 or 0.000). Do not include units in your answer.
Labs for College Physics: Mechanics Worksheet Experiment 21 Motion As you work through the steps in the lab procedure, record your experimental values and the results on this worksheet. Use the exact
More informationRP623 Ratios and Rates with Fractional Terms Pages 41 43
RP62 Ratios and Rates with Fractional Terms Pages 4 4 STANDARDS 6.RP.A.2, 6.RP.A. Vocabulary equivalent ratio rate ratio table Goals Students will understand that ratios with fractional terms can turn
More informationSection 1.1 Linear Equations: Slope and Equations of Lines
Section. Linear Equations: Slope and Equations of Lines Slope The measure of the steepness of a line is called the slope of the line. It is the amount of change in y, the rise, divided by the amount of
More informationAnswer Key for California State Standards: Algebra I
Algebra I: Symbolic reasoning and calculations with symbols are central in algebra. Through the study of algebra, a student develops an understanding of the symbolic language of mathematics and the sciences.
More information3.3 Addition and Subtraction of Rational Numbers
3.3 Addition and Subtraction of Rational Numbers In this section we consider addition and subtraction of both fractions and decimals. We start with addition and subtraction of fractions with the same denominator.
More informationApplied Fluid Mechanics
Applied Fluid Mechanics 1. The Nature of Fluid and the Study of Fluid Mechanics 2. Viscosity of Fluid 3. Pressure Measurement 4. Forces Due to Static Fluid 5. Buoyancy and Stability 6. Flow of Fluid and
More informationAP PHYSICS C Mechanics  SUMMER ASSIGNMENT FOR 20162017
AP PHYSICS C Mechanics  SUMMER ASSIGNMENT FOR 20162017 Dear Student: The AP physics course you have signed up for is designed to prepare you for a superior performance on the AP test. To complete material
More informationProgressing toward the standard
Report Card Language: add, subtract, multiply, and/or divide to solve multistep word problems. CCSS: 4.OA.3 Solve multistep work problems posed with whole numbers and having wholenumber answers using
More informationUNIT 1 MASS AND LENGTH
UNIT 1 MASS AND LENGTH Typical Units Typical units for measuring length and mass are listed below. Length Typical units for length in the Imperial system and SI are: Imperial SI inches ( ) centimetres
More information5 Mathematics Curriculum
New York State Common Core 5 Mathematics Curriculum G R A D E GRADE 5 MODULE 1 Topic B Decimal Fractions and Place Value Patterns 5.NBT.3 Focus Standard: 5.NBT.3 Read, write, and compare decimals to thousandths.
More informationNOTE: Please DO NOT write in exam booklet. Use the answer sheet for your answers.
ELECTRICIAN PREAPPRENTICESHIP MATH ENTRANCE EXAM NOTE: Please DO NOT write in exam booklet. Use the answer sheet for your answers. NOTE: DO NOT MARK SECTION A. PLACE YOUR ANSWERS ON THE SHEET PROVIDED
More information3.1. RATIONAL EXPRESSIONS
3.1. RATIONAL EXPRESSIONS RATIONAL NUMBERS In previous courses you have learned how to operate (do addition, subtraction, multiplication, and division) on rational numbers (fractions). Rational numbers
More informationCurrent California Math Standards Balanced Equations
Balanced Equations Current California Math Standards Balanced Equations Grade Three Number Sense 1.0 Students understand the place value of whole numbers: 1.1 Count, read, and write whole numbers to 10,000.
More informationMathematics Practice for Nursing and Midwifery Ratio Percentage. 3:2 means that for every 3 items of the first type we have 2 items of the second.
Study Advice Service Student Support Services Author: Lynn Ireland, revised by Dave Longstaff Mathematics Practice for Nursing and Midwifery Ratio Percentage Ratio Ratio describes the relationship between
More informationObjective To introduce a formula to calculate the area. Family Letters. Assessment Management
Area of a Circle Objective To introduce a formula to calculate the area of a circle. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment
More informationMaths Module 2. Working with Fractions. This module covers fraction concepts such as:
Maths Module Working with Fractions This module covers fraction concepts such as: identifying different types of fractions converting fractions addition and subtraction of fractions multiplication and
More information