Decimals Worksheets. The decimal point separates the whole numbers from the fractional part of a number.
|
|
- Alberta Mathews
- 7 years ago
- Views:
Transcription
1 Decimal Place Values The decimal point separates the whole numbers from the fractional part of a number In a whole number the decimal point is all the way to the right, even if it is not shown in a problem. =. The place values of the number 8.09 are shown below: ones tenths hundreds tens hundredths thousandths thousands 8.09 ten-thousandths In word problems you will be asked to translate numbers from English. The word and is where the decimal point will go. Write the following numbers: Fifty-eight = 8 One-hundred twenty-five thousandths =. One hundred and twenty-five thousandths = 00.0 Eleven and three hundredths =.0 Six thousand forty and nine tenths = 6,040.9 MLC Page of
2 In the number , what digit is in the tenths place? 8 In the number , what digit is in the ones place? 9 In the number , what digit is in the tens place? In the number , what digit is in the thousandths place? 6 Exercise (answer key starts on page 9) ) In the number 78.9, what digit (number) is in the tenths place? ) In the number 78.9, what digit (number) is in the ones place? ) In the number 78.9, what digit (number) is in the tens place? 4) In the number , what digit is in the thousands place? ) In the number , what digit is in the thousandths place? 6) In the number , what digit is in the hundredths place? 7) In the number , what digit is in the tenths place? 8) In the number , what digit is in the ones place? 9) In the number , what digit is in the tens place? 0) In the number , what digit is in the hundreds place? Exercise Directions: translate the following numbers from English into decimal numbers. Twenty-nine. Eighty-one hundredths. Nine thousand thirty-four and seven tenths 4. One and four thousandths. One hundred and sixty-two thousandths 6. Forty-five hundredths 7. Four thousand three hundred twenty-one ten-thousandths 8. One hundred twenty and five tenths 9. Seventeen thousandths 0. One and seven tenths MLC Page of
3 Rounding Decimal Numbers When rounding decimal numbers, first look at the number place you are asked to round to. Then look at the digit (number) just to its right. If that digit is smaller than (0,,,, or 4), then do not round up. If the digit is or larger (, 6, 7, 8, 9), then round up. Round.69 to the nearest thousandth The place to round to.69 The digit is small..69 is the answer Do not round up. Round to the nearest thousandth The place to round to is the answer Drop everything to the right The digit 6 is large. Round up. Round to the nearest tenth The place to round to is the answer The digit 9 is large. Round up. Drop everything to the right Round to the nearest tenth The place to round to The digit 4 is small. Do not round up Drop everything to the right.0 is the answer Round to the nearest whole (ones) number The place to round to The digit 9 is large. Round up. 00 is the answer Drop everything to the right MLC Page of
4 Exercise Directions: Round the following decimal numbers to the place indicated ). to thousandths ).009 to thousandths ).096 to thousandths 4).4 to thousandths ) to thousandths 6) to thousandths 7) to thousandths 8). to hundredths 9).009 to hundredths 0). to hundredths ).67 to hundredths ) to hundredths ) to tenths 4).666 to tenths ). to tenths 6) to tenths 7). to whole (ones) number 8).99 to whole (ones) number 9) 499 to the nearest hundred 0) 999 to the nearest thousand MLC Page 4 of
5 Decimal/Fraction Conversion Changing fractions and mixed numbers to decimal numbers simply by dividing the denominator (bottom number) into the numerator (top number) = = = The whole number in front of the fraction will also be in front of the decimal. 9 Rounded to the nearest thousandth or Use repeating dash over the first =. Changing decimal numbers into fractions and mixed numbers is as easy as saying the number as a fraction then writing it down. Remember to reduce and simplify.. = two tenths = = = thirty-seven hundredths = = four hundred twenty thousandths = 8. = eighteen and thirty-two hundredths = 40 = = MLC Page of
6 Exercise 4 Directions: Change the following fractions and mixed numbers to decimal numbers. Round answers to the nearest thousandth, if necessary. ) ) 9) ) 7 6) 0 0) ) 7) 6 7 ) 8 6 4) 6 8) 0 8 ) 6 Exercise Directions: Change the following decimal numbers to fractions or mixed numbers. Reduce answers, if possible. ). ).6 9).07 ). 6).6 0).87 ).8 7) 6. ) 4. 4).7 8). ) 7.7 MLC Page 6 of
7 Exercise 6 Directions: Fill in the chart below with equivalent fractions and decimal numbers. Reduce fraction answers, if possible. Round decimal answers to the nearest hundredth, if necessary. Fraction Decimal Fraction Decimal ) 6).00 4 ) 7) ) 8) ) 9) ) 0) 9. Arranging decimal numbers by size When comparing decimal numbers and arranging them in order it is usually easiest to line up the numbers vertically with the decimal points in a vertical line. If a number doesn t have a decimal point, place the decimal at the end. You may fill in blanks with zeroes to make the columns easier to line up. The same Which is larger.06 or.00899? added zeros is larger than 0; therefore,.06 is larger than is the answer MLC Page 7 of
8 Arrange from the smallest to the largest: The only clue here is that.8 does not have a whole number; therefore, it is the smallest In the tenths place.08 and.080 have zeroes; therefore, they are the next smallest numbers. Since.08 has a in the hundredths place, it is smaller. The two largest numbers are left over. Compare.80 and.00 by looking at hundredths place. Since.00 has a zero there, it is smaller and.80 is the largest of all the numbers. from smallest to largest, they are: Exercise 7 Directions: arrange these numbers from largest to smallest: ) ) ) ) ) MLC Page 8 of
9 Exercise 8 Directions: arrange these numbers from smallest to largest: ) ) ) ) ) Adding and Subtracting Decimal Numbers When adding and subtracting decimal numbers, line up the decimal point of all the numbers. If a number does not show a decimal point, place one to the right of the whole number. You may add zeroes to keep the columns lined up. Add.6 and 4.8 Add 47 and Add a zero Add zeroes Subtract 4.69 from The wording here can be confusing. Notice how subtract 4.69 from.06 means Add zeroes MLC Page 9 of
10 Exercise 9 Directions: add or subtract the following ) ) = ) = ) ) 46. = 6) = 7) = 8) = 9) = 0) ) ) 4..4 ) ) Subtract 6.8 from 4. ) Subtract 8.97 from 9 6) Add.00 to 87 7) Add 000 to.086 8) ) ) Subtract.00 from.0 MLC Page 0 of
11 Multiplying Decimal Numbers When multiplying decimal numbers, set up the problem like regular multiplication. When you get your answer, add up the total number of digits to the right of the decimals in both the numbers you are multiplying and place the decimal in your answer that many places from the right end three digits is the answer.0006 two digits 0 five digits is the answer 6.0 When multiplying three numbers together, multiply any two to get an answer; then multiply that answer by the third number two digits one digit three digits is the answer MLC Page of
12 Exercise 0 Directions: Multiply the following ).67. ) ) ).884 ) ) ) 8.4 8) ).4 0) ).00 ) 8.88 ).4 4) ) MLC Page of
13 Dividing Decimal Numbers Here are the three ways you will see division problems; they all mean the same thing: When dividing decimal numbers, move the decimal point in the divisor (number you re dividing by) to the right end of the divisor. Then move the decimal point in the dividend (the number you re dividing into) the same number of places to the right as you moved it in the divisor Once you have placed the decimal point correctly in your quotient (answer), divide like you would in whole numbers. Rounded to hundredth = = MLC Page of
14 Exercise Directions: Divide. Round answers to hundredths, if necessary )..69 ) ) ).4 80 ) 4 6) ) ) ) 9.0 0) ) 0. ). 8 ) ) ) MLC Page 4 of
15 Word Problems using Decimal Numbers Definitions: Sum the answer from adding numbers Difference the answer from subtracting numbers Product the answer from multiplying numbers Quotient the answer from dividing numbers In solving word problems, try to understand the whole situation being described. Some numbers may not even be involved in answering the question. Sometimes you will have to do extra steps to get the numbers you need to solve the problem. If the annual rainfall for a town near Santa Fe was. inches in 960,. inches in 96, and. in 96, what was the total rainfall for the three years?. Total means to add inches is the answer 7.0 What is the difference between David s salary of $.86 per month and Robert s monthly salary, which is $8.90? Difference means to subtract $04.96 is the answer If you have a car that used 9. gallons of gas to go 8 miles, how many miles per gallon (mpg) did the car get? (round your answer to the nearest tenth.) miles 8 miles mpg = = ; so divide 9. into 8 gallon 9. gallon mpg is the answer MLC Page of
16 You need to order three hinges for each of doors. Each hinge costs $.7. How much will the hinges cost? The total number of hinges is = 4 Multiply 4.7 =.7 $.7 is the answer Exercise ) During five days, you drive.4 miles, 4. miles, 0.4 miles, 8.7 miles, and 7. miles. How many miles did you drive during those five days? ) If you are given checks, one for $6.98, another for $7.7, and a third for $60, how much is the total of all checks? ) If a car gets 4. mpg on the highway, how many gallons of fuel will it use by traveling 40 highway miles? (round answer to tenths) 4) If you need to cut pieces of glass from a 4 feet length, how long should each piece be? ) If you purchase a TV and pay $40 down and $.60 a month for 8 months, what was the purchase price of the TV? 6) If the revenues from the extra ¼ % sales tax amounted to $48,6.47 in 98 and is to be divided equally among 7 different departments within the city of Albuquerque, how much will each department receive? (round to the nearest cent) 7) If the total precipitation (rainfall and snow) for the year at a mountain town is expected to be 7.9 inches and it has already rained 6.8 inches, how many more inches of precipitation are expected? MLC Page 6 of
17 Decimals Practice Test Change to decimals. (round to hundredths) ) ) ) 6 8 4) Change to fractions (reduce, if possible) ). 6).66 7).4 8) 4.87 Add 9) ) ) Subtract ) ) ) Subtract.97 from. Multiply ).8 x.78 6).6 x 74 7).0 x.67 x.9 Divide (round answers to hundredths) 8) ) ).7 MLC Page 7 of
18 ) Arrange from largest to smallest.808,.8,.809, ) Arrange from smallest to largest.6,.6,.06,.6,.66 ) Subtract four and three-tenths from eleven and eighty-one hundredths. 4) If you ran. miles on Monday,.9 miles on Wednesday, and 4.7 miles on Friday, how many miles did you run, total, for the three days? ) If you divided $6.6 evenly among five children, how much would each child get? 6) If you bought.6 gallons of gasoline at $.0 per gallon, how much did the gasoline cost? MLC Page 8 of
19 Answer Key Exercise Exercise Exercise ) 9 ) 9 ). ) 8 ).8 ).009 ) 7 ) ).00 4) 6 4).004 4). ) ) ) ) 0 6).4 6) ) 9 7).4 7).000 8) 4 8) 0. 8). 9) 7 9).07 9).0 0) 0).7 0). ).7 Exercise 4 Exercise ) ). ) 8.0 ) 4 ).86 ).67 4).88 ).7 6). ) 4).7 ) 4 ). 4) 4 6) 00.0 ) 4 7) 6) 8 8) 7).87 8) ).6 0).667 ).06 ) 6.6 7) ) 0 7 9) 00 0) 6 ) ) ) 00 0) 000 MLC Page 9 of
20 Exercise 6 Fraction Decimal Fraction Decimal ). 6) ).44 7) ). 4 8) ) ) ) ) Exercise 7 Exercise 8 Exercise 9 ) 6.,.6,.6,.06, 0.66 ) 7.8, 7.96, 8.04, 8., 8.7 ) 4. ) 40., 4., 4., 4.0,.40 ).00,.0,.00,.,. ) 6.96 ) ).0070,.007,.0067,.0068,.006 ) 9.909, 9.999, , 94, ).,,.,.09,.0 4) 6, 6., 6.8, 6.8, 6.8 4) 8.77 ).9,.,.09,.0, ).489,.48989,.4899,.48999,.49 ) ).07 7) 8).8 9) ) ) ).8766 ) 9.6 4) 7.4 ) 0.0 6) ) ) 69 9) ).009 MLC Page 0 of
21 Exercise 0 Exercise Exercise ).44 ). ) 76. miles ).886 ) 0 ) $4. ) ) 000 ) 8. gallons 4) ) 00 4).8 feet ).44 ).6 ) $ ).06 6).0 6) $ ).04 7) 7).08 inches 8).047 8). 9) 0. 9).0 0) 9.6 0). ) ).0 ) ) 8. ).4 ) ).00 4) 400 ).074 ).0 Practice Test ).4 ).84 ) $.7 ).7 4). 6) $. ).8 ) ). 6). ) 4 7).000 6) 0 8).70 7) 9).0 8) ).6 9).6 ).8,.808,.807,.809,.8 0) ).06,.6,.6,.6,.66 ).74 ) 7. ).9 4).9 miles MLC Page of
Introduction to Decimals
Introduction to Decimals Reading and Writing Decimals: Note: There is a relationship between fractions and numbers written in decimal notation. Three-tenths 10 0. 1 zero 1 decimal place Three- 0. 0 100
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 informationPre-Algebra Lecture 6
Pre-Algebra 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 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 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 information1004.6 one thousand, four AND six tenths 3.042 three AND forty-two thousandths 0.0063 sixty-three ten-thousands 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 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 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 informationWhole Number and Decimal Place Values
Whole Number and Decimal Place Values We will begin our review of place values with a look at whole numbers. When writing large numbers it is common practice to separate them into groups of three using
More informationThe gas can has a capacity of 4.17 gallons and weighs 3.4 pounds.
hundred million$ ten------ million$ million$ 00,000,000 0,000,000,000,000 00,000 0,000,000 00 0 0 0 0 0 0 0 0 0 Session 26 Decimal Fractions Explain the meaning of the values stated in the following sentence.
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 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 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 information1 3 7 5. 2 3 1 6. The pattern going to the right or the left from the decimal point is the same but there are two big differences:
Review of Place Values in Decimal Numbers A decimal number includes a decimal point and digit(s) to the right of the decimal point. Saying a decimal number aloud is very similar to saying a whole number
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 informationLESSON 5 - DECIMALS INTRODUCTION
LESSON 5 - DECIMALS INTRODUCTION Now that we know something about whole numbers and fractions, we will begin working with types of numbers that are extensions of whole numbers and related to fractions.
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 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 informationTo Multiply Decimals
4.3 Multiplying Decimals 4.3 OBJECTIVES 1. Multiply two or more decimals 2. Use multiplication of decimals to solve application problems 3. Multiply a decimal by a power of ten 4. Use multiplication by
More information4 9 7, 5 4 8, 6 0 1, 3 7 2.
1.1 Digits and Place Value 1. Understand Digits and Place Value Digits are mathematical symbols that are arranged in a specific order to represent numeric values. There are ten different digits in our
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 informationMathSphere MATHEMATICS. Equipment. Y6 Fractions 6365 Round decimals. Equivalence between decimals and fractions
MATHEMATICS Y6 Fractions 6365 Round decimals. Equivalence between decimals and fractions Paper, pencil, ruler Fraction cards Calculator Equipment MathSphere 6365 Round decimals. Equivalence between fractions
More informationDecimals are absolutely amazing We have only 10 symbols, yet can represent any number, large or small We use zero (0) as a place holder to allow us
Decimals 1 Decimals are absolutely amazing We have only 10 symbols, yet can represent any number, large or small We use zero (0) as a place holder to allow us to do this 2 Some Older Number Systems 3 Can
More informationParamedic Program Pre-Admission Mathematics Test Study Guide
Paramedic Program Pre-Admission 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 informationFractions Packet. Contents
Fractions Packet Contents Intro to Fractions.. page Reducing Fractions.. page Ordering Fractions page Multiplication and Division of Fractions page Addition and Subtraction of Fractions.. page Answer Keys..
More informationSunny Hills Math Club Decimal Numbers Lesson 4
Are you tired of finding common denominators to add fractions? Are you tired of converting mixed fractions into improper fractions, just to multiply and convert them back? Are you tired of reducing fractions
More informationUnit 6 Number and Operations in Base Ten: Decimals
Unit 6 Number and Operations in Base Ten: Decimals Introduction Students will extend the place value system to decimals. They will apply their understanding of models for decimals and decimal notation,
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 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 informationRepresenting Decimals (pages 102 105)
A Representing Decimals (pages 102 105) Decimals are numbers that are expressed using a decimal point. The decimal point separates the whole number part of the decimal from the part that is less than one.
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 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 information5.1 Introduction to Decimals, Place Value, and Rounding
5.1 Introduction to Decimals, Place Value, and Rounding 5.1 OBJECTIVES 1. Identify place value in a decimal fraction 2. Write a decimal in words 3. Write a decimal as a fraction or mixed number 4. Compare
More information5 3.00 0.60 5 3.00-30 00 1 3 = 3 5 = Step 1: Divide the numerator by the denominator to get a decimal.
Mixed Numbers Decimals Changing A MIXED NUMBER TO A DECIMAL: Step 1: Divide the numerator by the denominator to get a decimal. whole number numerator denominator 1 3 3 5 numerator denominator decimal 5
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 pre-algebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics
More informationChapter 3 Review Math 1030
Section A.1: Three Ways of Using Percentages Using percentages We can use percentages in three different ways: To express a fraction of something. For example, A total of 10, 000 newspaper employees, 2.6%
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 informationQM0113 BASIC MATHEMATICS I (ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION)
SUBCOURSE QM0113 EDITION A BASIC MATHEMATICS I (ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION) BASIC MATHEMATICS I (ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION) Subcourse Number QM 0113 EDITION
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 information20(-1) - (-4) (-5) 10)
Pre-Algebra Final Exam Review Name Write the whole number in words. 1) 9,300,695 1) Add. 2) 58,142 30,645 + 5,300,621 2) Round the whole number to the given place. 3) 49,815,425 to the nearest million
More informationGrade 6 Math. Oak Meadow. Coursebook. Oak Meadow, Inc. Post Office Box 1346 Brattleboro, Vermont 05302-1346 oakmeadow.
Grade 6 Math Oak Meadow Coursebook Oak Meadow, Inc. Post Office Box 1346 Brattleboro, Vermont 05302-1346 oakmeadow.com Item #b064010 Grade 6 Contents Introduction... ix Lessons... Lesson 1... 1 Multiplication
More informationSixth Grade Problem Solving Tasks Weekly Enrichments Teacher Materials. Summer Dreamers 2013
Sixth Grade Problem Solving Tasks Weekly Enrichments Teacher Materials Summer Dreamers 2013 SOLVING MATH PROBLEMS KEY QUESTIONS WEEK 1 By the end of this lesson, students should be able to answer these
More informationOne million, eight hundred forty-five thousand, twenty-seven dollars. 1, 8 4 5, 0 2 7
Section 1.1 Place Value Whole numbers appear in everyday situations. We encounter whole numbers in ATM machines when we withdraw money, conduct an inventory, carry out a census count, and when counting
More informationMath and FUNDRAISING. Ex. 73, p. 111 1.3 0. 7
Standards Preparation Connect 2.7 KEY VOCABULARY leading digit compatible numbers For an interactive example of multiplying decimals go to classzone.com. Multiplying and Dividing Decimals Gr. 5 NS 2.1
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 informationFRACTIONS. The student will be able to: Essential Fraction Vocabulary
FRACTIONS The student will be able to:. Perform basic operations with common fractions: addition, subtraction, multiplication, and division. Common fractions, such as /, /, and /, are used on the GED Test
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 informationWSMA Decimal Numbers Lesson 4
Thousands Hundreds Tens Ones Decimal Tenths Hundredths Thousandths WSMA Decimal Numbers Lesson 4 Are you tired of finding common denominators to add fractions? Are you tired of converting mixed fractions
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 informationBASIC MATHEMATICS. WORKBOOK Volume 2
BASIC MATHEMATICS WORKBOOK Volume 2 2006 Veronique Lankar A r ef resher o n t he i mp o rt a nt s ki l l s y o u l l ne e d b efo r e y o u ca n s t a rt Alg e b ra. This can be use d a s a s elf-teaching
More information5.1 Introduction to Decimals
Chapter 5 Decimals On January 29, 2001, the New Yk Stock exchange ended its 200-year tradition of quoting stock prices in fractions and switched to decimals. It was said that pricing stocks the same way
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 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 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 PRE-TEST
More informationUnit 1 Number Sense. In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions.
Unit 1 Number Sense In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions. BLM Three Types of Percent Problems (p L-34) is a summary BLM for the material
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 informationBasic numerical skills: FRACTIONS, DECIMALS, PROPORTIONS, RATIOS AND PERCENTAGES
Basic numerical skills: FRACTIONS, DECIMALS, PROPORTIONS, RATIOS AND PERCENTAGES. Introduction (simple) This helpsheet is concerned with the ways that we express quantities that are not whole numbers,
More informationNWT Apprenticeship Support Materials
NWT Apprenticeship Support Materials Math Reading Comprehension Science * Module 1 Foundations * Module 2 Patterns and Relations * Module 3 Variables and Equations * Module 4 Measuring Time, Shapes and
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 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 (1-25) 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 informationMathematics Navigator. Misconceptions and Errors
Mathematics Navigator Misconceptions and Errors Introduction In this Guide Misconceptions and errors are addressed as follows: Place Value... 1 Addition and Subtraction... 4 Multiplication and Division...
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 informationFSCJ PERT. Florida State College at Jacksonville. assessment. and Certification Centers
FSCJ Florida State College at Jacksonville Assessment and Certification Centers PERT Postsecondary Education Readiness Test Study Guide for Mathematics Note: Pages through are a basic review. Pages forward
More informationChapter 5. Decimals. Use the calculator.
Chapter 5. Decimals 5.1 An Introduction to the Decimals 5.2 Adding and Subtracting Decimals 5.3 Multiplying Decimals 5.4 Dividing Decimals 5.5 Fractions and Decimals 5.6 Square Roots 5.7 Solving Equations
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 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 informationThe Crescent Primary School Calculation Policy
The Crescent Primary School Calculation Policy Examples of calculation methods for each year group and the progression between each method. January 2015 Our Calculation Policy This calculation policy has
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 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 informationFive daily lessons. Page 23. Page 25. Page 29. Pages 31
Unit 4 Fractions and decimals Five daily lessons Year 5 Spring term Unit Objectives Year 5 Order a set of fractions, such as 2, 2¾, 1¾, 1½, and position them on a number line. Relate fractions to division
More informationPermission is given for the making of copies for use in the home or classroom of the purchaser only.
Copyright 2005 Second Edition 2008 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom of the purchaser only. Part 1 Math Card Games to Play
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 informationArithmetic Computation Test (ACT) Preparation Guide
Arithmetic Computation Test (ACT) Preparation Guide CONFIDENTIAL A.C.T. PREPARATION GUIDE It is important that employees demonstrate that they have basic problem solving skills. The purpose of the Arithmetic
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 informationMathematics. Steps to Success. and. Top Tips. Year 5
Pownall Green Primary School Mathematics and Year 5 1 Contents Page 1. Multiplication and Division 3 2. Positive and Negative Numbers 4 3. Decimal Notation 4. Reading Decimals 5 5. Fractions Linked to
More informationMath Questions & Answers
What five coins add up to a nickel? five pennies (1 + 1 + 1 + 1 + 1 = 5) Which is longest: a foot, a yard or an inch? a yard (3 feet = 1 yard; 12 inches = 1 foot) What do you call the answer to a multiplication
More information+ = has become. has become. Maths in School. Fraction Calculations in School. by Kate Robinson
+ has become 0 Maths in School has become 0 Fraction Calculations in School by Kate Robinson Fractions Calculations in School Contents Introduction p. Simplifying fractions (cancelling down) p. Adding
More informationAddition Methods. Methods Jottings Expanded Compact Examples 8 + 7 = 15
Addition Methods Methods Jottings Expanded Compact Examples 8 + 7 = 15 48 + 36 = 84 or: Write the numbers in columns. Adding the tens first: 47 + 76 110 13 123 Adding the units first: 47 + 76 13 110 123
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 informationFinancial Mathematics
Financial Mathematics For the next few weeks we will study the mathematics of finance. Apart from basic arithmetic, financial mathematics is probably the most practical math you will learn. practical in
More informationBasic Pre Algebra Intervention Program
Basic Pre Algebra Intervention Program This 9 lesson Intervention Plan is designed to provide extra practice lessons and activities for students in Pre Algebra. The skills covered are basics that must
More informationSession 29 Scientific Notation and Laws of Exponents. If you have ever taken a Chemistry class, you may have encountered the following numbers:
Session 9 Scientific Notation and Laws of Exponents If you have ever taken a Chemistry class, you may have encountered the following numbers: There are approximately 60,4,79,00,000,000,000,000 molecules
More informationMaths Assessment Year 4: Fractions
Name: Maths Assessment Year : Fractions 1. Recognise and show, using diagrams, families of common equivalent fractions. 2. Count up and down in hundredths. 3. Solve problems involving increasingly harder
More informationCambridge International Examinations Cambridge Primary Checkpoint
Cambridge International Examinations Cambridge Primary Checkpoint MATHEMATICS 0845/02 Paper 2 For Examination from 2014 SPECIMEN PAPER 45 minutes Candidates answer on the Question Paper. Additional Materials:
More information**Unedited Draft** Arithmetic Revisited Lesson 5: Decimal Fractions or Place Value Extended Part 3: Multiplying Decimals
1. Multiplying Decimals **Unedited Draft** Arithmetic Revisited Lesson 5: Decimal Fractions or Place Value Extended Part 3: Multiplying Decimals Multiplying two (or more) decimals is very similar to how
More information1.6 Division of Whole Numbers
1.6 Division of Whole Numbers 1.6 OBJECTIVES 1. Use repeated subtraction to divide whole numbers 2. Check the results of a division problem 3. Divide whole numbers using long division 4. Estimate a quotient
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 informationMathematics Success Grade 6
T276 Mathematics Success Grade 6 [OBJECTIVE] The student will add and subtract with decimals to the thousandths place in mathematical and real-world situations. [PREREQUISITE SKILLS] addition and subtraction
More informationMATH-0910 Review Concepts (Haugen)
Unit 1 Whole Numbers and Fractions MATH-0910 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 informationPERT Computerized Placement Test
PERT Computerized Placement Test REVIEW BOOKLET FOR MATHEMATICS Valencia College Orlando, Florida Prepared by Valencia College Math Department Revised April 0 of 0 // : AM Contents of this PERT Review
More informationTraining Manual. Pre-Employment Math. Version 1.1
Training Manual Pre-Employment 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 informationPercent Word Problems
Percent Word Problems Ratio and proportion method Here are several aids that will help you solve word problems: 1. Make sure you understand the question that is asked 2. Sort out the information to make
More informationArithmetic 1 Progress Ladder
Arithmetic 1 Progress Ladder Maths Makes Sense Foundation End-of-year objectives page 2 Maths Makes Sense 1 2 End-of-block objectives page 3 Maths Makes Sense 3 4 End-of-block objectives page 4 Maths Makes
More informationUnit 7 The Number System: Multiplying and Dividing Integers
Unit 7 The Number System: Multiplying and Dividing Integers Introduction In this unit, students will multiply and divide integers, and multiply positive and negative fractions by integers. Students will
More informationUNDERSTANDING ALGEBRA JAMES BRENNAN. Copyright 2002, All Rights Reserved
UNDERSTANDING ALGEBRA JAMES BRENNAN Copyright 00, All Rights Reserved CONTENTS CHAPTER 1: THE NUMBERS OF ARITHMETIC 1 THE REAL NUMBER SYSTEM 1 ADDITION AND SUBTRACTION OF REAL NUMBERS 8 MULTIPLICATION
More informationMATH COMPUTATION. Part 1. TIME : 15 Minutes
MATH COMPUTATION Part 1 TIME : 15 Minutes This is a practice test - the results are not valid for certificate requirements. A calculator may not be used for this test. MATH COMPUTATION 1. 182 7 = A. 20
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 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 informationMATHS ACTIVITIES FOR REGISTRATION TIME
MATHS ACTIVITIES FOR REGISTRATION TIME At the beginning of the year, pair children as partners. You could match different ability children for support. Target Number Write a target number on the board.
More informationGrade 4 - Module 5: Fraction Equivalence, Ordering, and Operations
Grade 4 - Module 5: Fraction Equivalence, Ordering, and Operations Benchmark (standard or reference point by which something is measured) Common denominator (when two or more fractions have the same denominator)
More information