Improper Fractions and Mixed Numbers


 Kellie Gilbert
 1 years ago
 Views:
Transcription
1 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 work must be shown in order to earn full credit. The assignment will be graded for completion. REMEMBER: There are lots of ways of solving math problems. The suggested methods in this packet are just one way of solving the problem. If you have learned another method through your elementary math program that it is fine.
2 Improper Fractions and Mixed Numbers An improper fraction is a fraction with the numerator that is greater than the denominator. A mixed number is a whole number and a fraction. and 7 5 are improper fractions is a mixed number. An improper fraction can be written as a whole or mixed number. A mixed number can be written as a improper fraction. Write as whole Write 7 5 as a Write numbers. mixed numbers. as an improper fraction. Multiply the whole number by the denominator. Add this Divide the Divide the numerator by the product to the numerator. Then write the sum over the numerator by the denominator. Write the denominator. denominator. remainder as a fraction by writing the remainder over the 4 divisor = = = = 11 6 = = 11 6 Write as a whole number. 1) 16 4 = 2) 15 8 = ) 28 4 = 4) 48 6 = Write as a mixed number. 1) 15 4 = 2) 21 5 = ) 2 6 = 4) 7 2 = Write as an improper fraction. 1) 2 7 = 2) 8 1 = ) = 4) 2 5 =
3 Adding Mixed Numbers, Whole Numbers, and Fractions To add mixed numbers, whole numbers, and fractions, first check for unlike denominators. Write mixed numbers and fractions as equivalent fractions with like denominators. Add he fractions. Then add the whole numbers and simplify. Find: Write the fractions with Add the Add the whole Simplify. like denominators. fractions. numbers. 2 1 = = = = = = = 9 2 Add and simplify. 1) ) 1 4 ) 1 6 4) ) 1 6) ) 1 5 8)
4 Subtraction of Mixed Numbers with Regrouping To subtract mixed numbers, it may be necessary to regroup first. Write the whole number part as a mixed number. Add the mixed number and the fraction. Then subtract and simplify. Find: Write the fractions with like denominators. Compare the numerators. 5 7 = = is greater than 7. You cant subtract the fractions. To regroup, write 5 as the following mixed number. 5 = 4 Add the mixed number and the fraction. 5 7 = = 4 19 Now you can subtract and simplify. 5 7 = = 1 9 = 5 6 Subtract and Simplify. 1) 6 8 2) 7 4 ) ) ) )
5 Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators. Simplify the product. Find: 4 x 5 6 Multiply the numerators. Multiply the denominators. Simplify = 5 = = = = 5 8 Multiply and simplify. 1) 4 1 = 5 2) 1 = 5 ) 4 = 7 5 4) = 5) = 6) 1 11 = Multiplication of Whole Numbers by Fractions To multiply a whole number by a fraction, first write the whole number as an improper fraction. Multiply the numerators and the denominators. Simplify. Find: Write the whole number as an improper fraction = Multiply. Simplify. 6 5 = 0 = 1 14 = Multiply and simplify. 1) 2 6 2) 25 ) 25 5
6 Multiplication of Mixed Numbers by Whole Numbers To multiply a mixed number by a whole number, first write the mixed number and the whole number as improper fractions. Multiply the numerators and denominators. Simplify the answer. Find: Write the whole number and the mixed number as improper fractions = Multiply the numerators and denominators. Simplify. 9 4 = 6 = 4 4 = Multiply and Simplify. 1) = 2) 2 1 = ) = Multiplication of Mixed Numbers by Fractions To multiply a mixed number by a fraction, first write the mixed number as an improper fraction. Multiply the numerators and denominators. Simplify. Find: Write the mixed number as an improper fraction = Multiply the numerators and denominators. Simplify = 9 6 = 1 6 = Multiply and Simplify. 1) = 2) = ) =
7 Multiplication of Mixed Numbers by Mixed Numbers To multiply a mixed number by a mixed number, write both mixed numbers as improper fractions. then multiply the numerators and denominators. Simplify. Find: Write the mixed numbers as improper fractions. Multiply the numerators and denominators. Simplify = = 209 = 17 5 Multiply and Simplify. 1) = 2) = ) = 4) = 5) = 6) =
8 Division of Fractions by Fractions To divide a fraction by a fraction, multiply by the reciprocal of the second fraction. Simplify the answer if needed. Remember, only the second fraction is inverted. Find: Multiply by the reciprocal of the second fraction = Multiply the numerators and denominators. Simplify. 5 4 = 20 = Divide and Simplify. 1) 4 1 = 5 2) 5 1 = 4 ) 1 1 = ) = 5) = 6) = Division of Mixed Numbers by Fractions To divide a mixed number by a fraction, write the mixed number as an improper fraction. Multiply by the reciprocal of the second fraction. Simplify the answer. Find: Write the mixed number Multiply by the reciprocal Multiply and simplify. as an improper fraction. of the second fraction = = 40 = 4 = 1 4 Divide and Simplify. 1) = 2) = ) =
9 Fraction and Decimal Equivalents Sometimes you will need to either change a decimal to a fraction or fraction to a decimal. To write a decimal as a fraction, identify the value of the last place in the decimal. Use this place value to write the denominator. To write a fraction that has a denominator of, 0, or 1,000 as a decimal, write the digits for the numerator. Then write the decimal point. Decimal Fraction or Mixed Number Fraction or Mixed Number Decimal 0.7 = 7 9 = = 0.09 = 1.72 = ,000 or , or = 0.14 = 0.48 = 9.06 Write each decimal as a fraction. 1) 0.5 2) 0.06 ) ) 6.54 Write each decimal as a mixed number. 5) 2. 6) ) ) 7.5 Write each fraction as a decimal. 6) 9 7) 7 0 8) 9) 1 00 ) ) ) 17 1) 9 00
10 Addition and Subtraction of Decimals To add or subtract decimals, line up the decimal points. Write zeros as needed. Then add or subtract the same way as whole numbers. Examples: Find: Write a zero. Add. Write a decimal point in the sum. Find: Write a zero. Regroup. Subtract. Write a decimal point in the difference Add or subtract. Write zeros as needed
11 Multiplying Decimals by Decimals To multiply decimals by decimals, multiply the same way as whole numbers. Place the decimal point in the product by counting the number of decimal places in each factor. The product will have the same number of decimal places. Remember, sometimes you might need to write a zero in the product in order to place the decimal point correctly. Examples: Find: Multiply. Write the decimal point in the product. Find: Multiply. Write the decimal point in the product places + 1 place places Write a zero. 2 places + 2 places 4 places Multiply. Write zeros as needed
12 Dividing Decimals by Decimals To divide decimal by decimal, change the divisor to a whole number by moving the decimal point. Move the decimal point in the dividend the same number of places. Then divide. Remember, write a decimal point in the quotient directly above the position of the new decimal point in the dividend. Examples: Find: Move each decimal Divide. Find: Move each decimal Divide. point 1 place. point 2 places ) ) ) ) Divide ) ) ) ) ) )
13 Multiplying by Powers of To multiply decimals by powers of ten, move the decimal point in the product to the right as many places as there are zeros in the multiplier. Remember, sometimes you might need to write zeros in the product in order to move the decimal point the correct number of places. Study these examples. 0.2 = = 20 1, = = = 5.1 1, = 51 Multiply. Write zeros as needed = = ,000 = Dividing by Powers of To divide a decimal by a power of ten, move the decimal point in the dividend to the left as many places as there are zeros in the divisor. Remember, sometimes you might need to write zeros in the quotient in order to correctly insert the decimal point. Study these examples. 0.2 = = ,000 = = = ,000 = Divide. Write zeros as needed = = ,000 =
Accuplacer 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 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 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 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 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 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 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 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 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 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 informationYOU MUST BE ABLE TO DO THE FOLLOWING PROBLEMS WITHOUT A CALCULATOR!
DETAILED SOLUTIONS AND CONCEPTS  DECIMALS AND WHOLE NUMBERS Prepared by Ingrid Stewart, Ph.D., College of Southern Nevada Please Send Questions and Comments to ingrid.stewart@csn.edu. Thank you! YOU MUST
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 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 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 informationRecall the process used for adding decimal numbers. 1. Place the numbers to be added in vertical format, aligning the decimal points.
2 MODULE 4. DECIMALS 4a Decimal Arithmetic Adding Decimals Recall the process used for adding decimal numbers. Adding Decimals. To add decimal numbers, proceed as follows: 1. Place the numbers to be added
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 informationMULTIPLICATION OF FRACTIONS AND MIXED NUMBERS. 1 of 6 objects, you make 2 (the denominator)
Tallahassee Community College 0 MULTIPLICATION OF FRACTIONS AND MIXED NUMBERS You know that of is. When you get of objects, you make (the denominator) equal groups of the objects and you take (the numerator)
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 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 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 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 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 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 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 information2 is the BASE 5 is the EXPONENT. Power Repeated Standard Multiplication. To evaluate a power means to find the answer in standard form.
Grade 9 Mathematics Unit : Powers and Exponent Rules Sec.1 What is a Power 5 is the BASE 5 is the EXPONENT The entire 5 is called a POWER. 5 = written as repeated multiplication. 5 = 3 written in standard
More information= = = = = = =2 3 10) = =1 2 12) = )
11 ) 11 11  1 1 1 1 1 19  1 10 11 91 11 111 10 91     1 11 1   1 11 1 91   1   1   11 1 11  110 9 1   1 1.. 1. 1... 10. 9. 9 10. 1 11. 1. 1. 1. 10 1. 1 1 1 110 9 1 9 0
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 informationTABLE OF CONTENTS. Multiplication. Division. Fractions. Decimals. Linear Measurement and Area. Surface Area and Volume. Graphs. Additional Lessons
TABLE OF CONTENTS Multiplication Division Fractions Decimals Lesson 1 Multiply 3Digit Numbers.................................... 4 Lesson 2 Divide Mentally............................................
More informationFractions and Linear Equations
Fractions and Linear Equations Fraction Operations While you can perform operations on fractions using the calculator, for this worksheet you must perform the operations by hand. You must show all steps
More informationFractions. Introduction... 2
Introduction... 2 Unit 1: FACTORS AND MULTIPLES Lesson 1: Factors, Prime, and Composite Numbers... 2 Lesson 2: Factors Word Problems... 2 Lesson 3: Grea Common Factor... 3 Lesson 4: Multiples and Least
More informationMultiplying and Dividing Fractions
Multiplying and Dividing Fractions 1 Overview Fractions and Mixed Numbers Factors and Prime Factorization Simplest Form of a Fraction Multiplying Fractions and Mixed Numbers Dividing Fractions and Mixed
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 informationConnect Four Math Games
Connect Four Math Games Connect Four Addition Game (A) place two paper clips on two numbers on the Addend Strip whose sum is that desired square. Once they have chosen the two numbers, they can capture
More informationADDITION. Children should extend the carrying method to numbers with at least four digits.
Y5 AND Y6 ADDITION Children should extend the carrying method to numbers with at least four digits. 587 3587 + 475 + 675 1062 4262 1 1 1 1 1 Using similar methods, children will: add several numbers with
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 informationPolynomial and Synthetic Division. Long Division of Polynomials. Example 1. 6x 2 7x 2 x 2) 19x 2 16x 4 6x3 12x 2 7x 2 16x 7x 2 14x. 2x 4.
_.qd /7/5 9: AM Page 5 Section.. Polynomial and Synthetic Division 5 Polynomial and Synthetic Division What you should learn Use long division to divide polynomials by other polynomials. Use synthetic
More informationEVALUATING ACADEMIC READINESS FOR APPRENTICESHIP TRAINING Revised For ACCESS TO APPRENTICESHIP
EVALUATING ACADEMIC READINESS FOR APPRENTICESHIP TRAINING For ACCESS TO APPRENTICESHIP MATHEMATICS SKILL OPERATIONS WITH INTEGERS AN ACADEMIC SKILLS MANUAL for The Precision Machining And Tooling Trades
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 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 informationMultiplying and Dividing Signed Numbers. Finding the Product of Two Signed Numbers. (a) (3)( 4) ( 4) ( 4) ( 4) 12 (b) (4)( 5) ( 5) ( 5) ( 5) ( 5) 20
SECTION.4 Multiplying and Dividing Signed Numbers.4 OBJECTIVES 1. Multiply signed numbers 2. Use the commutative property of multiplication 3. Use the associative property of multiplication 4. Divide signed
More information47 Numerator Denominator
JH WEEKLIES ISSUE #22 20122013 Mathematics Fractions Mathematicians often have to deal with numbers that are not whole numbers (1, 2, 3 etc.). The preferred way to represent these partial numbers (rational
More informationPreviously, you learned the names of the parts of a multiplication problem. 1. a. 6 2 = 12 6 and 2 are the. b. 12 is the
Tallahassee Community College 13 PRIME NUMBERS AND FACTORING (Use your math book with this lab) I. Divisors and Factors of a Number Previously, you learned the names of the parts of a multiplication problem.
More informationSection 4.1 Rules of Exponents
Section 4.1 Rules of Exponents THE MEANING OF THE EXPONENT The exponent is an abbreviation for repeated multiplication. The repeated number is called a factor. x n means n factors of x. The exponent tells
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 informationFraction Competency Packet
Fraction Competency Packet Developed by: Nancy Tufo Revised 00: Sharyn Sweeney Student Support Center North Shore Community College To use this booklet, review the glossary, study the examples, then work
More informationRAVEN S GUIDE TO BRITISH COLUMBIA LINKED DIRECTLY TO NEW CURRICULUM REQUIREMENTS FROM THE WESTERN PROTOCOLS FOR 2008 AND BEYOND
RAVEN S GUIDE TO BRITISH COLUMBIA MATHEMATICS GRADE 6 LINKED DIRECTLY TO NEW CURRICULUM REQUIREMENTS FROM THE WESTERN PROTOCOLS FOR 2008 AND BEYOND STUDENT GUIDE AND RESOURCE BOOK Key to Student Success
More informationKey. Introduction. What is a Fraction. Better Math Numeracy Basics Fractions. On screen content. Narration voiceover
Key On screen content Narration voiceover Activity Under the Activities heading of the online program Introduction This topic will cover how to: identify and distinguish between proper fractions, improper
More informationNumerical and Algebraic Fractions
Numerical and Algebraic Fractions Aquinas Maths Department Preparation for AS Maths This unit covers numerical and algebraic fractions. In A level, solutions often involve fractions and one of the Core
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 informationMontessori Mathematics Curriculum
1 Montessori Mathematics Curriculum Presentations on Preparation for Math OnetoOne Correspondence Books Counting Songs 3 Little Speckled Frogs Sorting/Classification Sequence/Patterns Do As I Do Sequence/Seriation
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 informationTYPES OF NUMBERS. Example 2. Example 1. Problems. Answers
TYPES OF NUMBERS When two or more integers are multiplied together, each number is a factor of the product. Nonnegative integers that have exactly two factors, namely, one and itself, are called prime
More informationProperty: Rule: Example:
Math 1 Unit 2, Lesson 4: Properties of Exponents Property: Rule: Example: Zero as an Exponent: a 0 = 1, this says that anything raised to the zero power is 1. Negative Exponent: Multiplying Powers with
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 informationFactoring Whole Numbers
2.2 Factoring Whole Numbers 2.2 OBJECTIVES 1. Find the factors of a whole number 2. Find the prime factorization for any number 3. Find the greatest common factor (GCF) of two numbers 4. Find the GCF for
More informationContents. Subtraction (Taking Away)... 6. Multiplication... 7 by a single digit. by a two digit number by 10, 100 or 1000
This booklet outlines the methods we teach pupils for place value, times tables, addition, subtraction, multiplication, division, fractions, decimals, percentages, negative numbers and basic algebra Any
More informationFRACTIONS OPERATIONS
FRACTIONS OPERATIONS Summary 1. Elements of a fraction... 1. Equivalent fractions... 1. Simplification of a fraction... 4. Rules for adding and subtracting fractions... 5. Multiplication rule for two fractions...
More informationWarmUp ( 454 3) 2 ( 454 + 2) 3
WarmUp ) 27 4 ST/HSEE: 4 th Grade ST Review: 4 th Grade ST t school, there are 704 desks to place into classrooms. If the same number of desks is placed in each classroom, how many desks will be in each
More informationFraction Vocabulary. It is important that vocabulary terms are taught to students.
Rational Numbers Fractions Decimals Percents It is important for students to know how these 3 concepts relate to each other and how they can be interchanged. Fraction Vocabulary It is important that vocabulary
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 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 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 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 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 informationCOMPSCI 210. Binary Fractions. Agenda & Reading
COMPSCI 21 Binary Fractions Agenda & Reading Topics: Fractions Binary Octal Hexadecimal Binary > Octal, Hex Octal > Binary, Hex Decimal > Octal, Hex Hex > Binary, Octal Animation: BinFrac.htm Example
More informationNumbers and Operations in Base 10 and Numbers and Operations Fractions
Numbers and Operations in Base 10 and Numbers As the chart below shows, the Numbers & Operations in Base 10 (NBT) domain of the Common Core State Standards for Mathematics (CCSSM) appears in every grade
More informationA.4 Polynomial Division; Synthetic Division
SECTION A.4 Polynomial Division; Synthetic Division 977 A.4 Polynomial Division; Synthetic Division OBJECTIVES 1 Divide Polynomials Using Long Division 2 Divide Polynomials Using Synthetic Division 1 Divide
More informationTHE BINARY NUMBER SYSTEM
THE BINARY NUMBER SYSTEM Dr. Robert P. Webber, Longwood University Our civilization uses the base 10 or decimal place value system. Each digit in a number represents a power of 10. For example, 365.42
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 informationWelcome to Basic Math Skills!
Basic Math Skills Welcome to Basic Math Skills! Most students find the math sections to be the most difficult. Basic Math Skills was designed to give you a refresher on the basics of math. There are lots
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 information3.4 Multiplication and Division of Rational Numbers
3.4 Multiplication and Division of Rational Numbers We now turn our attention to multiplication and division with both fractions and decimals. Consider the multiplication problem: 8 12 2 One approach is
More informationSometimes it is easier to leave a number written as an exponent. For example, it is much easier to write
4.0 Exponent Property Review First let s start with a review of what exponents are. Recall that 3 means taking four 3 s and multiplying them together. So we know that 3 3 3 3 381. You might also recall
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 informationExponents, Radicals, and Scientific Notation
General Exponent Rules: Exponents, Radicals, and Scientific Notation x m x n = x m+n Example 1: x 5 x = x 5+ = x 7 (x m ) n = x mn Example : (x 5 ) = x 5 = x 10 (x m y n ) p = x mp y np Example : (x) =
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 informationDecimal Notations for Fractions Number and Operations Fractions /4.NF
Decimal Notations for Fractions Number and Operations Fractions /4.NF Domain: Cluster: Standard: 4.NF Number and Operations Fractions Understand decimal notation for fractions, and compare decimal fractions.
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 informationMultiplying and Dividing Fractions and Mixed Numbers
Section. PREACTIVITY PREPARATION Multiplying and Dividing Fractions and Mixed Numbers How much flour will you need to double a recipe that calls for ⅛ cups of flour? What is the surface area of your deck
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 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 informationThe Euclidean Algorithm
The Euclidean Algorithm A METHOD FOR FINDING THE GREATEST COMMON DIVISOR FOR TWO LARGE NUMBERS To be successful using this method you have got to know how to divide. If this is something that you have
More informationMonomials with the same variables to the same powers are called like terms, If monomials are like terms only their coefficients can differ.
Chapter 7.1 Introduction to Polynomials A monomial is an expression that is a number, a variable or the product of a number and one or more variables with nonnegative exponents. Monomials that are real
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 informationUsing the Properties in Computation. a) 347 35 65 b) 3 435 c) 6 28 4 28
(1) Chapter 1 Real Numbers and Their Properties In this section 1.8 USING THE PROPERTIES TO SIMPLIFY EXPRESSIONS The properties of the real numbers can be helpful when we are doing computations. In this
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 Review. Numbers. Place Value. Rounding Whole Numbers. Place value thousands hundreds tens ones
Math Review Knowing basic math concepts and knowing when to apply them are essential skills. You should know how to add, subtract, multiply, divide, calculate percentages, and manipulate fractions. This
More informationGRADE 5 SKILL VOCABULARY MATHEMATICAL PRACTICES Evaluate numerical expressions with parentheses, brackets, and/or braces.
Common Core Math Curriculum Grade 5 ESSENTIAL DOMAINS AND QUESTIONS CLUSTERS Operations and Algebraic Thinking 5.0A What can affect the relationship between numbers? round decimals? compare decimals? What
More informationWritten methods for addition of whole numbers
Stage 1: The empty number line Mathematics written methods at the Spinney Written methods for addition of whole numbers The mental methods that lead to column addition generally involve partitioning, e.g.
More informationNegative Integer Exponents
7.7 Negative Integer Exponents 7.7 OBJECTIVES. Define the zero exponent 2. Use the definition of a negative exponent to simplify an expression 3. Use the properties of exponents to simplify expressions
More informationPreCalculus II Factoring and Operations on Polynomials
Factoring... 1 Polynomials...1 Addition of Polynomials... 1 Subtraction of Polynomials...1 Multiplication of Polynomials... Multiplying a monomial by a monomial... Multiplying a monomial by a polynomial...
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 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 informationConverting from Fractions to Decimals
.6 Converting from Fractions to Decimals.6 OBJECTIVES. Convert a common fraction to a decimal 2. Convert a common fraction to a repeating decimal. Convert a mixed number to a decimal Because a common fraction
More informationMULTIPLICATION AND DIVISION OF REAL NUMBERS In this section we will complete the study of the four basic operations with real numbers.
1.4 Multiplication and (125) 25 In this section Multiplication of Real Numbers Division by Zero helpful hint The product of two numbers with like signs is positive, but the product of three numbers with
More informationGRADE 6 MATH: SHARE MY CANDY
GRADE 6 MATH: SHARE MY CANDY UNIT OVERVIEW The length of this unit is approximately 23 weeks. Students will develop an understanding of dividing fractions by fractions by building upon the conceptual
More informationLyman Memorial High School. PreCalculus Prerequisite Packet. Name:
Lyman Memorial High School PreCalculus Prerequisite Packet Name: Dear PreCalculus Students, Within this packet you will find mathematical concepts and skills covered in Algebra I, II and Geometry. These
More informationCommon Core State Standards for Math Grades K  7 2012
correlated to the Grades K  7 The Common Core State Standards recommend more focused and coherent content that will provide the time for students to discuss, reason with, reflect upon, and practice more
More informationMath. MCC5.OA.1 Use parentheses, brackets, or braces in. these symbols. 11/5/2012 1
MCC5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. 11/5/2012 1 MCC5.OA.2 Write simple expressions that record calculations with numbers,
More informationChapter 2 Formulas and Decimals
Chapter Formulas and Decimals Section A Rounding, Comparing, Adding and Subtracting Decimals Look at the following formulas. The first formula (P = A + B + C) is one we use to calculate perimeter of a
More information