Section R.2. Fractions


 Alexander Copeland
 1 years ago
 Views:
Transcription
1 Section R.2 Fractions
2 Learning objectives Fraction properties of 0 and 1 Writing equivalent fractions Writing fractions in simplest form Multiplying and dividing fractions Adding and subtracting fractions Arithmetic operations on mixed numbers Vocabulary: numerator; denominator; whole number; least common denominator (LCD)
3 Fraction vocabulary 3/5, pronounced threefifths, is a fraction The top number (3) is called the numerator The bottom number (5) is called the denominator A proper fraction is a fraction where the numerator is smaller than the denominator. 3/5 is a proper fraction. An improper fraction is a fraction where the numerator is larger than the denominator. 5/3 is an improper fraction. 5/3 can also be written as 1 2/3, which has a whole number part and a fraction part. This kind of number is called a mixed number.
4 Fraction properties of 0 and 1 6/6 = 6 divided by 6 = 1 Anything divided by itself = 1 6/1 = 6 divided by 1 = 6 Anything divided by 1 = itself 0/6 = 0 divided by 6 = 0 0 divided by anything = 0 6/0 is undefined; anything divided by 0 is undefined
5 Equivalent fractions Remember that 6/6 = 1; also, 6 x 1 = 6 Anything multiplied by 1 is itself So, we can take a fraction like ¼, multiply it by 1 and it would be ¼ 1 = 6/6, so ¼ x 6/6 = (1 x 6)/(4 x 6) = 4/24 ¼ = 4/24 These two fractions are Equivalent; ¼ is the simplified equivalent of 4/24
6 Simplify these fractions 3/3 40/4 16/1 42/49 11/27 0/7
7 Write each fraction as an equivalent 3/10, with a denominator of 40 4/7, with a denominator of 56
8 Simplifying fractions A fraction is simplified when the numerator and denominator have no common factors besides 1 5/11 is a simple fraction: 5 s factors are {1,5} and 11 s factors are {1,11} 6/12 is not a simple fraction: 6 s factors are {1,2,3,6} and 12 s factors are {1,2,3,4,6,12}. They have {2,3,6} in common The Greatest Common Factor of 6 & 12 is? We can simplify 6/12 by dividing both the numerator and the denominator by the greatest common factor.
9 Simplify the following fractions Hint: factor the numerator & the denominator; find the greatest common factor; then divide both 5/10 9/15 88/66 300/550
10 Multiplying fractions To multiply two fractions, we multiply numerator times numerator and denominator times denominator. Then, if possible, we try to simplify the result. 2/15 x 5/13:
11 Dividing fractions Dividing two fractions is the same as multiplying the first fraction with the reciprocal of the second. The reciprocal of a fraction is the fraction, flipped over. The reciprocal of 2/3 is 3/2. Reciprocal of 2/25 is 25/2 Divide ½ by 5/7:
12 Multiply or divide the following: 1/3 x 5/7 28/6 x 8/21 6/19 divided by 9/13 9/14 divided by 3/10
13 Adding and Subtracting Fractions Actually, adding and subtracting fractions are more involved than multiplying and dividing To add or subtract fractions, both must have the same denominator 3/5 + 1/5 = (3 + 1)/5 = 4/5 3/5 1/5 = (3 1)/5 = 2/5 What about 2/5 + ¼? Is it 3/9?
14 Adding & subtracting fractions This is why we learn the Least Common Denominator It is related to the Least Common Multiple (from R.1) When adding 2/5 and ¼, we need to find the LCD, which is the least common multiple of 5 and 4 The multiples of 5 are {5, 10, 15, 20, 25 } The multiples of 4 are {4,8,12,16,20,24 } The LCM of 5 & 4 is: So, then the LCD of 2/5 and ¼ is: Now, we write equivalent fractions for 2/5 and ¼ using the LCD: Then, finally, we can add them:
15 Add or subtract as indicated: 1/8 + 3/8 5/6 3/6 1/6 + 7/15 5/9 1/12 7/8 5/6
16 Performing operations on mixed numbers Divide 2 1/8 by 1 2/3? To perform on mixed numbers, first convert them to fractions 2 1/8 = 16/8 + 1/8 =? 1 2/3 = 3/3 + 2/3 =? 2 1/8 divided by 1 2/3 =? Divided by? =??
17 Adding mixed numbers Add: 2 1/ /3 First: write each number as a fraction: Next: find the LCD: Then: rewrite the two fractions using the LCD: Add the two fractions: Finally, simplify the result:
18 Perform the operations on mixed numbers 13 2/ / /7 2 1/3 x 6 3/7 3 4/5 divided by 1 2/5
19 Section R.3 Decimals and Percents
20 R.3 Decimals and percents Write decimals as fractions Add, subtract, multiply and divide decimals Round decimals to a given decimal place Write fractions as decimals Write percents as decimals and decimals as percents Vocabulary: decimal notation; place value; dividend; quotient; divisor; percent
21 Writing decimals as fractions Like fractions, decimals portray a part of a whole Decimal number: Each numeral in the number has a place value The 2 is in the place? The 8 is in the place? The 7 is in the place? The 6 is in the place? The 1 is in the place? Write as a mixed fraction:
22 Write the following decimals as fractions
23 Adding, subtracting, multiplying, and dividing decimals Add 3.25 and 11.6 Write the decimals so that the decimal points line up vertically Add or subtract as usual Make sure the decimal point remains in the right place in the answer
24 Add or subtract as indicated:
25 Multiplying decimals Multiply as if they were whole numbers The decimal point in the answer is placed so that the number of decimal places is equal to the sum of the number of decimal places in the numbers that were multiplied.: Multiply 0.03 x 0.6: Note this is the same as multiplying 3/100 x 6/10:
26 Dividing decimals 9.46 divided by 3.14 The first number (9.46) is the dividend The second number (3.14) is the divisor The answer is the quotient To divide decimals, move the decimal point all the way to the right in the divisor. Keep track of how many places right you moved it. Then move the decimal point in the dividend the same number of places to the right. Finally, divide. The decimal point in the quotient is right above the new decimal point in the dividend
27 Divide 9.46 by 3.14:
28 Multiply or divide as indicated: x divided by
29 Rounding decimals Rounding decimals to a place value to the right of the decimal point: Round to the nearest hundredth The hundredth digit is: The digit immediately to the right of it is: If this digit is 5 or greater, then add 1 to the hundredth digit, and drop all the digits to the right of it. Otherwise, just drop all the digits to the right of it rounded to the nearest hundredth is:
30 Round each decimal to the given place value 0.539, hundredth 2.35, tenth 27, , thousandth
31 Writing fractions as decimals Divide the numerator by the denominator, making sure you keep track of the decimal point. Write ¼ as a decimal: Write 2/3 as a decimal: Note that the 6 repeats. This is a repeating decimal. We write it as:
32 Write each fraction as a decimal: 2/5 2/3 3/8 19/6
33 Writing percents as decimals and decimals as percents Percent means per % means 53 per 100 To write 53% as a decimal, divide 53 by 100 = % is 7/100 as a fraction, or 0.07 as a decimal 63% is 63/100 as a fraction, or 0.63 as a decimal 109% is 109/100 as a fraction, or 1.09 as a decimal To write a decimal as a percent, move the decimal place two to the right, and add the percent sign.
34 Change the following percents to decimals 16% 5.1 % 300% 0.7%
35 Change the following decimals to percents
Operations on Decimals
Operations on Decimals Addition and subtraction of decimals To add decimals, write the numbers so that the decimal points are on a vertical line. Add as you would with whole numbers. Then write the decimal
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 information2. Perform the division as if the numbers were whole numbers. You may need to add zeros to the back of the dividend to complete the division
Math Section 5. Dividing Decimals 5. Dividing Decimals Review from Section.: Quotients, Dividends, and Divisors. In the expression,, the number is called the dividend, is called the divisor, and is called
More informationHow To Math Properties
CLOSURE a + b is a real number; when you add 2 real numbers, the result is also a real number. and 5 are both real numbers, + 5 8 and the sum, 8, is also a real number. a b is a real number; when you subtract
More informationMath Help and Additional Practice Websites
Name: Math Help and Additional Practice Websites http://www.coolmath.com www.aplusmath.com/ http://www.mathplayground.com/games.html http://www.ixl.com/math/grade7 http://www.softschools.com/grades/6th_and_7th.jsp
More informationDecimals Adding and Subtracting
1 Decimals Adding and Subtracting Decimals are a group of digits, which express numbers or measurements in units, tens, and multiples of 10. The digits for units and multiples of 10 are followed by a decimal
More informationtroduction to Algebra
Chapter Five Decimals Section 5.1 Introduction to Decimals Like fractional notation, decimal notation is used to denote a part of a whole. Numbers written in decimal notation are called decimal numbers,
More informationChapter 4 Fractions and Mixed Numbers
Chapter 4 Fractions and Mixed Numbers 4.1 Introduction to Fractions and Mixed Numbers Parts of a Fraction Whole numbers are used to count whole things. To refer to a part of a whole, fractions are used.
More informationIntroduction to Fractions
Introduction to Fractions Fractions represent parts of a whole. The top part of a fraction is called the numerator, while the bottom part of a fraction is called the denominator. The denominator states
More informationcount up and down in tenths count up and down in hundredths
Number: Fractions (including Decimals and Percentages COUNTING IN FRACTIONAL STEPS Pupils should count in fractions up to 10, starting from any number and using the1/2 and 2/4 equivalence on the number
More informationImproper Fractions and Mixed Numbers
This assignment includes practice problems covering a variety of mathematical concepts. Do NOT use a calculator in this assignment. The assignment will be collected on the first full day of class. All
More informationChanging a Mixed Number to an Improper Fraction
Example: Write 48 4 48 4 = 48 8 4 8 = 8 8 = 2 8 2 = 4 in lowest terms. Find a number that divides evenly into both the numerator and denominator of the fraction. For the fraction on the left, there are
More informationSelfDirected Course: Transitional Math Module 2: Fractions
Lesson #1: Comparing Fractions Comparing fractions means finding out which fraction is larger or smaller than the other. To compare fractions, use the following inequality and equal signs:  greater than
More informationScientific Notation Notes
Scientific Notation Notes Scientific notation is a short way to write very large or very small numbers. It is written as the product of a number between 1 and 10 and a power of 10. TO CONVERT A NUMBER
More informationDECIMAL REVIEW. 2. Change to a fraction Notice that =.791 The zero in front of the decimal place is not needed.
DECIMAL REVIEW A. INTRODUCTION TO THE DECIMAL SYSTEM The Decimal System is another way of expressing a part of a whole number. A decimal is simply a fraction with a denominator of 10, 100, 1 000 or 10
More informationParamedic Program PreAdmission Mathematics Test Study Guide
Paramedic Program PreAdmission Mathematics Test Study Guide 05/13 1 Table of Contents Page 1 Page 2 Page 3 Page 4 Page 5 Page 6 Page 7 Page 8 Page 9 Page 10 Page 11 Page 12 Page 13 Page 14 Page 15 Page
More informationDECIMAL MODULE. I. Adding Decimals. II. Subtracting Decimals. III. Multiplying Decimals. IV. Dividing Decimals. BMR.
DECIMAL MODULE I. Adding Decimals II. Subtracting Decimals III. Multiplying Decimals IV. Dividing Decimals BMR.Decimals Page 1 I. Adding Decimals. Introduction: This is the first of four parts on working
More informationFractions to decimals
Worksheet.4 Fractions and Decimals Section Fractions to decimals The most common method of converting fractions to decimals is to use a calculator. A fraction represents a division so is another way of
More informationSaxon Math Home School Edition. September 2008
Saxon Math Home School Edition September 2008 Saxon Math Home School Edition Lesson 4: Comparing Whole Lesson 5: Naming Whole Through Hundreds, Dollars and Cent Lesson 7: Writing and Comparing Through
More informationARITHMETIC. Overview. Testing Tips
ARITHMETIC Overview The Arithmetic section of ACCUPLACER contains 17 multiple choice questions that measure your ability to complete basic arithmetic operations and to solve problems that test fundamental
More informationHFCC Math Lab Arithmetic  4. Addition, Subtraction, Multiplication and Division of Mixed Numbers
HFCC Math Lab Arithmetic  Addition, Subtraction, Multiplication and Division of Mixed Numbers Part I: Addition and Subtraction of Mixed Numbers There are two ways of adding and subtracting mixed numbers.
More informationRound decimals to the nearest whole number
Round decimals to the nearest whole number Learning Objective Simplifying Fractions Simplified Fractions To simplify a fraction, we find an equivalent fraction which uses the smallest numbers possible.
More informationReteaching. Properties of Operations
 Properties of Operations The commutative properties state that changing the order of addends or factors in a multiplication or addition expression does not change the sum or the product. Examples: 5
More informationNow that we have a handle on the integers, we will turn our attention to other types of numbers.
1.2 Rational Numbers Now that we have a handle on the integers, we will turn our attention to other types of numbers. We start with the following definitions. Definition: Rational Number any number that
More informationDecimal Notation ,000 10, Write a word name for the whole number. That is, the number to the left of the decimal point.
Decimal Notation Place Value Chart Hundreds Tens Ones Tenths Hundredths Thousandths Ten Thousandths 00 0 0 00,000 0, 000 Hundred Thousandths 00, 000 Millionths,000, 000 How to write a word name, given
More information3 cups ¾ ½ ¼ 2 cups ¾ ½ ¼. 1 cup ¾ ½ ¼. 1 cup. 1 cup ¾ ½ ¼ ¾ ½ ¼. 1 cup. 1 cup ¾ ½ ¼ ¾ ½ ¼
cups cups cup Fractions are a form of division. When I ask what is / I am asking How big will each part be if I break into equal parts? The answer is. This a fraction. A fraction is part of a whole. The
More informationUNIT 9 OPERATIONS WITH DECIMALS
UNIT 9 OPERATIONS WITH DECIMALS INTRODUCTION In this Unit, we will use our understanding of operations, decimals, and place value to perform operations with decimals. The table below shows the learning
More informationDIVISION OF DECIMALS. 1503 9. We then we multiply by the
Tallahassee Community College 0 DIVISION OF DECIMALS To divide 9, we write these fractions: reciprocal of the divisor 0 9. We then we multiply by the 0 67 67 = = 9 67 67 The decimal equivalent of is. 67.
More informationDECIMALS are special fractions whose denominators are powers of 10.
DECIMALS DECIMALS are special fractions whose denominators are powers of 10. Since decimals are special fractions, then all the rules we have already learned for fractions should work for decimals. The
More informationFRACTION WORKSHOP. Example: Equivalent Fractions fractions that have the same numerical value even if they appear to be different.
FRACTION WORKSHOP Parts of a Fraction: Numerator the top of the fraction. Denominator the bottom of the fraction. In the fraction the numerator is 3 and the denominator is 8. Equivalent Fractions: Equivalent
More informationAdding and Subtracting Fractions. 1. The denominator of a fraction names the fraction. It tells you how many equal parts something is divided into.
Tallahassee Community College Adding and Subtracting Fractions Important Ideas:. The denominator of a fraction names the fraction. It tells you how many equal parts something is divided into.. The numerator
More informationSequential Skills. Strands and Major Topics
Sequential Skills This set of charts lists, by strand, the skills that are assessed, taught, and practiced in the Skills Tutorial program. Each Strand ends with a Mastery Test. You can enter correlating
More informationExponents, Factors, and Fractions. Chapter 3
Exponents, Factors, and Fractions Chapter 3 Exponents and Order of Operations Lesson 31 Terms An exponent tells you how many times a number is used as a factor A base is the number that is multiplied
More informationPreAlgebra Lecture 6
PreAlgebra Lecture 6 Today we will discuss Decimals and Percentages. Outline: 1. Decimals 2. Ordering Decimals 3. Rounding Decimals 4. Adding and subtracting Decimals 5. Multiplying and Dividing Decimals
More informationAppendix A: 20 Items and Their Associated 80 Solution Strategies, Proportion Correct Scores, Proportion of Students Selecting the Solution Strategies
Appendix A: 20 Items and Their Associated 80 Solution Strategies, Correct Scores, of Students Selecting the Solution Strategies Table A1. Math Test Items with Associated Strategies and Summaries of Student
More information27. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Warm Up Write each mixed number as an improper fraction. 1. 1 3. 1 3 4 6 7 4 11 6 2. 2 7 8 23 8 4. 8 1 12 97 12 211 27 I will Learn to compare
More informationUnit 7 : Decimals. Friendly Notes = 2 ones 5 tenths 6 hundredths 3 thousandths =
Unit 7 : Decimals Tenths, Hundredths, and Thousandths 1 one = 10 tenths 1 tenth = 10 hundredths 1 hundredth = 10 thousandths Friendly Notes 1. Write 42 tenths as a decimal. 42 tenths = 40 tenths + 2 tenths
More information6th Grade Vocabulary Words
1. sum the answer when you add Ex: 3 + 9 = 12 12 is the sum 2. difference the answer when you subtract Ex: 179 = 8 difference 8 is the 3. the answer when you multiply Ex: 7 x 8 = 56 56 is the 4. quotient
More information100 which when written as a decimal is 0.06.
Solve the following problem. Session 28 Decimal Multiplication and Division Find the electric bill for 370 kwh s of electricity from Red River Region Coop, which charges 0.094 dollars per kilowatthour
More informationNumber: Fractions (including Decimals and Percentages) COUNTING IN FRACTIONAL STEPS Year 1 Year 2 Year 3 Year 4 Year 5 Year 6
Pupils should begin to count in halves, using practical resources to support Number: Fractions (including Decimals and Percentages COUNTING IN FRACTIONAL STEPS Pupils should count in count up and down
More informationFRACTIONS COMMON MISTAKES
FRACTIONS COMMON MISTAKES 0/0/009 Fractions Changing Fractions to Decimals How to Change Fractions to Decimals To change fractions to decimals, you need to divide the numerator (top number) by the denominator
More informationJobTestPrep's Numeracy Review Decimals & Percentages
JobTestPrep's Numeracy Review Decimals & Percentages 1 Table of contents What is decimal? 3 Converting fractions to decimals 4 Converting decimals to fractions 6 Percentages 6 Adding and subtracting decimals
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 informationMath 101 Study Session Quiz 1 Chapter 3 Sections 1 through 4
Math 101 Study Session Quiz 1 Chapter 3 Sections 1 through 4 July 28, 2016 Chapter 3 Section 1: The Least Common Multiple and Greatest Common Factor Natural number factors of a number divide that number
More informationAlgebra 1A and 1B Summer Packet
Algebra 1A and 1B Summer Packet Name: Calculators are not allowed on the summer math packet. This packet is due the first week of school and will be counted as a grade. You will also be tested over the
More informationREVIEW SHEETS BASIC MATHEMATICS MATH 010
REVIEW SHEETS BASIC MATHEMATICS MATH 010 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts that are taught in the specified math course. The sheets
More informationDr Brian Beaudrie pg. 1
Multiplication of Decimals Name: Multiplication of a decimal by a whole number can be represented by the repeated addition model. For example, 3 0.14 means add 0.14 three times, regroup, and simplify,
More informationCalculation of Exponential Numbers
Calculation of Exponential Numbers Written by: Communication Skills Corporation Edited by: The Science Learning Center Staff Calculation of Exponential Numbers is a written learning module which includes
More informationAccuplacer Arithmetic Study Guide
Accuplacer Arithmetic Study Guide Section One: Terms Numerator: The number on top of a fraction which tells how many parts you have. Denominator: The number on the bottom of a fraction which tells how
More informationFractions, Ratios, and Proportions Work Sheets. Contents
Fractions, Ratios, and Proportions Work Sheets The work sheets are grouped according to math skill. Each skill is then arranged in a sequence of work sheets that build from simple to complex. Choose the
More information1004.6 one thousand, four AND six tenths 3.042 three AND fortytwo thousandths 0.0063 sixtythree tenthousands Two hundred AND two hundreds 200.
Section 4 Decimal Notation Place Value Chart 00 0 0 00 000 0000 00000 0. 0.0 0.00 0.000 0.0000 hundred ten one tenth hundredth thousandth Ten thousandth Hundred thousandth Identify the place value for
More informationRounding Decimal Numbers
Rounding Decimal Numbers Reteaching Math Course, Lesson To round decimal numbers: Circle the place value you are rounding to. Underline the digit to its right. If the underlined number is or more, add
More informationSolution Guide Chapter 14 Mixing Fractions, Decimals, and Percents Together
Solution Guide Chapter 4 Mixing Fractions, Decimals, and Percents Together Doing the Math from p. 80 2. 0.72 9 =? 0.08 To change it to decimal, we can tip it over and divide: 9 0.72 To make 0.72 into a
More informationIntroduction to Fractions, Equivalent and Simplifying (12 days)
Introduction to Fractions, Equivalent and Simplifying (12 days) 1. Fraction 2. Numerator 3. Denominator 4. Equivalent 5. Simplest form Real World Examples: 1. Fractions in general, why and where we use
More informationDecimal and Fraction Review Sheet
Decimal and Fraction Review Sheet Decimals Addition To add 2 decimals, such as 3.25946 and 3.514253 we write them one over the other with the decimal point lined up like this 3.25946 +3.514253 If one
More informationSimply Math. Everyday Math Skills NWT Literacy Council
Simply Math Everyday Math Skills 2009 NWT Literacy Council Acknowledgement The NWT Literacy Council gratefully acknowledges the financial assistance for this project from the Department of Education, Culture
More informationDecimals. Understanding Thousandths Write the decimal shown in each placevalue chart. Example. Ones Tenths Hundredths Thousandths
Name: Date: Chapter Practice 1 Understanding Thousandths Write the decimal shown in each placevalue chart. Example Ones Tenths Hundredths Thousandths 1. 0.237 Ones Tenths Hundredths Thousandths 2. Ones
More informationFRACTION REVIEW. 3 and. Any fraction can be changed into an equivalent fraction by multiplying both the numerator and denominator by the same number
FRACTION REVIEW A. INTRODUCTION. What is a fraction? A fraction consists of a numerator (part) on top of a denominator (total) separated by a horizontal line. For example, the fraction of the circle which
More informationSIXTH GRADE MATH. Quarter 1
Quarter 1 SIXTH GRADE MATH Numeration  Place value  Comparing and ordering whole numbers  Place value of exponents  place value of decimals  multiplication and division by 10, 100, 1,000  comparing
More informationAdults to use fraction vocabulary of halves, quarters, thirds etc when describing the number of groups).
DEVELOPING UNDERSTANDING OF FRACTIONS, DECIMALS AND PERCENTAGES Year NC Objectives Examples Models and Images EYFS Share objects, shapes and count how many are in each group (early division) Solve problems
More informationChapter 4  Decimals
Chapter 4  Decimals $34.99 decimal notation ex. The cost of an object. ex. The balance of your bank account ex The amount owed ex. The tax on a purchase. Just like Whole Numbers Place Value  1.23456789
More informationFractions. Cavendish Community Primary School
Fractions Children in the Foundation Stage should be introduced to the concept of halves and quarters through play and practical activities in preparation for calculation at Key Stage One. Y Understand
More informationDECIMALS. Rounding Decimals Review and Multiplying Decimals. copyright amberpasillas2010. Rounding Review. Decimals are read as and
DECIMALS Rounding Decimals Review and Rounding Review Decimals are read as and 5 1 8 2 1, Thousands Hundreds Tens Ones Tenths Hundredths Read as 518 and 21 hundredths Thousandths Ten Thousandths 1 Rounding
More informationMath. Rounding Decimals. Answers. 1) Round to the nearest tenth. 8.54 8.5. 2) Round to the nearest whole number. 99.59 100
1) Round to the nearest tenth. 8.54 8.5 2) Round to the nearest whole number. 99.59 100 3) Round to the nearest tenth. 310.286 310.3 4) Round to the nearest whole number. 6.4 6 5) Round to the nearest
More informationObjectives: In this fractions unit, we will
Objectives: In this fractions unit, we will subtract and add fractions with unlike denominators (pp. 101 102) multiply fractions(pp.109 110) Divide fractions (pp. 113 114) Review: Which is greater, 1/3
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 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 informationSummer Math Packet. Review of Number Sense Skills for Students Entering Math 7. No Calculators!
Name Summer Math Packet Review of Number Sense Skills for Students Entering Math 7 No Calculators! The purpose of this summer math packet is to provide you with notes and practice problems to help you
More informationNAME TEST DATE FRACTION STUDY GUIDE/EXTRA PRACTICE PART 1: PRIME OR COMPOSITE?
NAME TEST DATE FRACTION STUDY GUIDE/EXTRA PRACTICE PART 1: PRIME OR COMPOSITE? A prime number is a number that has exactly 2 factors, one and itself. Examples: 2, 3, 5, 11, 31 2 is the only even number
More informationDecimals Worksheets. The decimal point separates the whole numbers from the fractional part of a number.
Decimal Place Values The decimal point separates the whole numbers from the fractional part of a number. 8.09 In a whole number the decimal point is all the way to the right, even if it is not shown in
More informationBasic Math Refresher A tutorial and assessment of basic math skills for students in PUBP704.
Basic Math Refresher A tutorial and assessment of basic math skills for students in PUBP704. The purpose of this Basic Math Refresher is to review basic math concepts so that students enrolled in PUBP704:
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 informationINTRODUCTION TO FRACTIONS
Tallahassee Community College 16 INTRODUCTION TO FRACTIONS Figure A (Use for 1 5) 1. How many parts are there in this circle?. How many parts of the circle are shaded?. What fractional part of the circle
More informationCopyright 2013 Edmentum  All rights reserved.
Add & Subtract Fractions 1. Copyright 2013 Edmentum  All rights reserved. A. B. C. D. Add & Subtract Decimals 2. 246.8 + 379.8 = 626.6 Using the addition equation above, solve the subtraction equation
More informationClick on the links below to jump directly to the relevant section
Click on the links below to jump directly to the relevant section Basic review Writing fractions in simplest form Comparing fractions Converting between Improper fractions and whole/mixed numbers Operations
More informationnorth seattle community college
INTRODUCTION TO FRACTIONS If we divide a whole number into equal parts we get a fraction: For example, this circle is divided into quarters. Three quarters, or, of the circle is shaded. DEFINITIONS: The
More informationScholastic Fraction Nation
Scholastic correlated to the ematics: Grades 48 2010 TM & Scholastic Inc. All rights reserved. SCHOLASTIC,, and associated logos are trademarks and/or registered trademarks of Scholastic Inc. Scholastic
More informationHOSPITALITY Math Assessment Preparation Guide. Introduction Operations with Whole Numbers Operations with Integers 9
HOSPITALITY Math Assessment 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 at George
More informationAssociative Property The property that states that the way addends are grouped or factors are grouped does not change the sum or the product.
addend A number that is added to another in an addition problem. 2 + 3 = 5 The addends are 2 and 3. area The number of square units needed to cover a surface. area = 9 square units array An arrangement
More informationYear Five Maths Notes
Year Five Maths Notes NUMBER AND PLACE VALUE I can count forwards in steps of powers of 10 for any given number up to 1,000,000. I can count backwards insteps of powers of 10 for any given number up to
More information5 th Grade CCGPS Math Unit 2: Numbers and Operations in Base Ten Student Study Guide
5 th Grade CCGPS Math Unit 2: Numbers and Operations in Base Ten Student Study Guide Dear Student: Please review the Math standards below to prepare for the Georgia Milestones test. This will require that
More informationGrade 9 Mathematics Unit #1 Number Sense SubUnit #1 Rational Numbers. with Integers Divide Integers
Page1 Grade 9 Mathematics Unit #1 Number Sense SubUnit #1 Rational Numbers Lesson Topic I Can 1 Ordering & Adding Create a number line to order integers Integers Identify integers Add integers 2 Subtracting
More informationOrder of Operations  PEMDAS. Rules for Multiplying or Dividing Positive/Negative Numbers
Order of Operations  PEMDAS *When evaluating an expression, follow this order to complete the simplification: Parenthesis ( ) EX. (52)+3=6 (5 minus 2 must be done before adding 3 because it is in parenthesis.)
More informationDATE PERIOD. Estimate the product of a decimal and a whole number by rounding the Estimation
A Multiplying Decimals by Whole Numbers (pages 135 138) When you multiply a decimal by a whole number, you can estimate to find where to put the decimal point in the product. You can also place the decimal
More informationTable of Contents Sequence List
Table of Contents Sequence List 368102215 Level 1 Level 5 1 A1 Numbers 010 63 H1 Algebraic Expressions 2 A2 Comparing Numbers 010 64 H2 Operations and Properties 3 A3 Addition 010 65 H3 Evaluating
More informationFRACTIONS MODULE Part I
FRACTIONS MODULE Part I I. Basics of Fractions II. Rewriting Fractions in the Lowest Terms III. Change an Improper Fraction into a Mixed Number IV. Change a Mixed Number into an Improper Fraction BMR.Fractions
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 informationDECIMAL COMPETENCY PACKET
DECIMAL COMPETENCY PACKET Developed by: Nancy Tufo Revised: Sharyn Sweeney 2004 Student Support Center North Shore Community College 2 In this booklet arithmetic operations involving decimal numbers are
More informationPrime and Composite Numbers Prime Factorization
Prime and Composite Numbers Prime Factorization Reteaching Math Course, Lesson A prime number is a whole number greater than that has exactly two factors, the number itself and. Examples: Factors of are
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 informationMAT Mathematical Concepts and Applications
MAT.1180  Mathematical Concepts and Applications Chapter (Aug, 7) Number Theory: Prime and Composite Numbers. The set of Natural numbers, aka, Counting numbers, denoted by N, is N = {1,,, 4,, 6,...} If
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 informationIntroduction to Fractions
Section 0.6 Contents: Vocabulary of Fractions A Fraction as division Undefined Values First Rules of Fractions Equivalent Fractions Building Up Fractions VOCABULARY OF FRACTIONS Simplifying Fractions Multiplying
More informationArithmetic Review ORDER OF OPERATIONS WITH WHOLE NUMBERS
Arithmetic Review The arithmetic portion of the Accuplacer Placement test consists of seventeen multiple choice questions. These questions will measure skills in computation of whole numbers, fractions,
More informationTOPICS: DECIMALS RATIO & PROPORTION
MAT018B TOPICS: DECIMALS RATIO & PROPORTION 4.1 Decimal Notation, Order, and Rounding: I. Place value There is no oneths! Look at the pattern of pairings below. Hundreds tens ones tenths hundredths 3 4
More informationNumerator Denominator
Fractions A fraction is any part of a group, number or whole. Fractions are always written as Numerator Denominator A unitary fraction is one where the numerator is always 1 e.g 1 1 1 1 1...etc... 2 3
More informationNumber and Operations in Base Ten
Lesson 1 Number and Operations in Base Ten Name Use Base Ten Blocks to model each number as a fraction of 1,000. Write the decimal. Tell the number in each placevalue position. 1. 2. tenths hundredths
More informationDecimals and other fractions
Chapter 2 Decimals and other fractions How to deal with the bits and pieces When drugs come from the manufacturer they are in doses to suit most adult patients. However, many of your patients will be very
More informationChapter 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 information