Decimals Adding and Subtracting


 Dominick Lawson
 2 years ago
 Views:
Transcription
1 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 point and then by the digits for tenths, hundredths etc. 1. ADDING MORE THAN TWO POSITIVE DECIMAL NUMBERS When adding more than two positive decimal numbers, the sum is positive. Align the decimal points. Decimals must always be lined up. Add the decimals as if they are whole numbers. To add decimal numbers: 1. Put the numbers in a vertical column aligning the decimal points. 1. Add each column of digits, starting on the right and working left. If the sum of a column is more than 10, "carry" digits to the next column on the left. 2. Place the decimal point in the answer directly below the decimal points in the terms. Example: ADDING TWO NEGATIVE DECIMAL NUMBERS When adding two negative decimal numbers, the sum will be negative and smaller than either of the decimal numbers. Example ( 0.37) + (0.29) = ( 0.66) 3. ADDING MORE THAN TWO NEGATIVE DECIMAL NUMBERS If you add more than two negative decimal numbers, the sum will be negative and smaller than each of the decimal numbers. Again, the order in which they are added does not matter. Example (0.3) + (0.8) + (0.2) + (0.7) + (0.4) = ( 2.4) 4. ADDITION WITH DECIMAL NUMBERS WITH MIXED SIGNS
2 2 If you add decimal numbers with both positive and negative signs, the sign of the larger of the positive or negative sum will determine the sign. Example (0.5) + (0.8) + (0.2) = (0.1) Because = 0.7 and 0.7 and (0.8) = (0.1) 5. READING DECIMAL NUMBERS ON A NUMBER LINE As with other numbers, decimal numbers can be read on a number line. The line here indicates that this number is (+1.3). This number line shows that decimal numbers can be negative or positive. Decimals Multiplying 1. MULTIPLYING TWO POSITIVE DECIMAL NUMBERS When multiplying two positive decimal numbers, the product is always positive and larger than either factor. Example (+ 0.5) x + (0.8) = (+ 0.40)
3 3 2. MULTIPLYING MORE THAN TWO POSITIVE DECIMAL NUMBERS When multiplying more than two decimal numbers, the product is always positive and larger than each of the factors. Example 0.9 x 0.5 x 0.2 Three decimal places. = 0.45 x 0.2 Three decimal places. = Three decimal places. The number of decimal places in the product should be the total number of decimal places in the factors. 0.9 has one decimal place, 0.5 has one decimal place and 0.2 has one decimal place. The product must have three decimal places. 3. MULTIPLYING TWO NEGATIVE DECIMAL FACTORS When you multiply two negative decimal numbers, the product is always positive and larger than either of the factors. Example (0.7) x ( 0.3) = (+0.21) 4. MULTIPLYING MORE THAN TWO NEGATIVE DECIMAL NUMBERS When you multiply more than two negative decimal numbers, the product is always negative if there is an odd number of factors. The product is positive if there is an even number of factors. Example (0.3) x ( 0.2) x ( 0.5) = ( ) There are three factors and 3 is an odd number (0.3) x ( 0.2) x ( 0.5) x (0.4) = ( ) There are four factors and 4 is an even number. 5. MULTIPLYING DECIMAL NUMBERS WITH MIXED SIGNS When multiplying a series of decimal numbers, the product is negative if the number of negative factors is odd. The product is positive if the number of negative factors is even. Example (0.6) x (+1.3) x ( 2.33) x (+52.1) = ( ) There are two negative factors and 2 is an even number. 6. REVIEW To multiply decimal numbers, follow these steps:
4 4 1) Multiply the numbers just as if they were whole numbers. Line up the numbers on the right  do not align the decimal points. Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers. Add the products. 2) Place the decimal point in the answer by starting at the right and moving a number of places equal to the sum of the decimal places in both numbers multiplied. Decimals Dividing 1. DIVIDING DECIMAL NUMBERS When dividing decimal numbers, write the numbers in standard division form. Move the decimal point over the same number of places in the divisor and in the dividend. Remember these steps: 1) If the divisor is not a whole number, move the decimal point to right to make it a whole number and move the decimal point in the dividend the same number of places. 2) Divide as usual. Keep dividing until the answer terminates or repeats.
5 5 3) Put decimal point directly above decimal point in the dividend. 4) Check your answer. Multiply quotient by divisor. Does it equal the dividend? Example Decimal has moved in the divisor and in the dividend. Then divide as you would with whole numbers. Answer: DIVIDING TWO POSITIVE DECIMAL NUMBERS When dividing one positive decimal number by another positive decimal number, the answer or the quotient is positive. Example (+0.56) (+0.4) = (+1.4)
6 6 3. DIVIDING TWO NEGATIVE DECIMAL NUMBERS When you divide one negative decimal number by another negative decimal number, the answer or quotient is positive. Example (6.7) (0.32) = (+7.02) 4. Dividing Decimal Numbers with Mixed Signs When dividing one decimal number by another, if one is positive and the other is negative, the answer or quotient is negative. Example (+0.85) (0.05) = (17) A thermometer is like a vertical number line. The reading on this thermometer would be (+.7) degrees Celsius.
7 7 The reading on this thermometer would be (.7) degrees Celsius. 6. SUBTRACTING TWO POSITIVE DECIMAL NUMBERS When you subtract two positive decimal numbers, the sign following the subtraction sign, must be changed. Example (+0.57) (+0.17) = = 0.40 The + sign in front of the 0.17 was changed to a sign. 7. SUBTRACTING TWO NEGATIVE DECIMAL NUMBERS When you subtract two negative decimal numbers, the sign following the subtraction sign must be changed. Example (0.89) (0.59) = ( 0.89) + (+0.59) = (0.30) The sign in front of the 0.59 was changed to a + sign. 8. SUBTRACTING TWO DECIMAL NUMBERS WITH MIXED SIGNS When you subtract two decimal numbers with mixed signs, the sign following the subtraction sign must be changed. Example (0.97) (+ 0.61) = (0.97) + (0.61) = (1.58)
8 8
Section R.2. Fractions
Section R.2 Fractions Learning objectives Fraction properties of 0 and 1 Writing equivalent fractions Writing fractions in simplest form Multiplying and dividing fractions Adding and subtracting fractions
More informationOperations 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 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 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 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 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 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 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 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 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 informationRoselle Math Curriculum Unit Title: 7 Multiplying and Dividing Decimals Grade: _5_. Common Core Standards, 2010
Essential Question(s) How do decimal numbers impact multiplication and division? Enduring Understanding(s) Decimals can be multiplied and divided in the same way as whole numbers. What strategies can be
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 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 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 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 information12. [Place Value] A Q. What is the largest odd, 4 digit number, that contains the digits 0, 4, 5 and 7?
12. [Place Value] Skill 12.1 Understanding the place value of a digit in a number (1). When writing numbers the following is true: Each digit in a number occupies a special place or column. Larger numbers
More informationUnit 3: Operations of Decimals
Unit 3: Operations of Decimals Learning Targets: LT1. Add decimals to the hundredths place value. LT2. Subtract decimals to the hundredths place value. LT3 Multiply decimals to the hundredths place value.
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 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 information2) Based on the information in the table which choice BEST shows the answer to 1 906? 906 899 904 909
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ) Multiplying a number by results in what type of. even. 0. even.,0. odd..,0. even ) Based on the information in the table which choice BEST shows the answer to 0? 0 0 0 )
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 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 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 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 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 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 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 informationMultiplying Decimal Numbers by 10, by 100, and by 1000
Multiplying Decimal Numbers by 10, by 100, and by 1000 Lesson 111 111 To multiply by 10, shift the decimal to the right one place. To multiply by 100, shift the decimal to the right two places. To multiply
More informationDividing Decimal Numbers
Section 2.4 PREACTIVITY PREPARATION Dividing Decimal Numbers The cost of your homeowner s insurance for one year is $856.2. If you opt for equal monthly payments to be automatically withdrawn from your
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 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 informationA fraction is a noninteger quantity expressed in terms of a numerator and a denominator.
1 Fractions Adding & Subtracting A fraction is a noninteger quantity expressed in terms of a numerator and a denominator. 1. FRACTION DEFINITIONS 1) Proper fraction: numerator is less than the denominator.
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 information*Converting Fractions to Decimals
*Converting Fractions to Decimals In this task, students will convert fractions to decimals. Back to task table STANDARDS FOR MATHEMATICAL CONTENT MGSE7.NS.2 Apply and extend previous understandings of
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 informationMiniPosters. LES 1 Shopping at the Coop
MiniPosters LES 1 Shopping at the Coop Application Situation 1 p. 1 Application Situation 2 p. 48 Application Situation 3 p. 53 Application Situation 4 p. 54 Table of Contents APPLICATION SITUATION 1
More informationYear 1. Use numbered number lines to add, by counting on in ones. Encourage children to start with the larger number and count on.
Year 1 Add with numbers up to 20 Use numbered number lines to add, by counting on in ones. Encourage children to start with the larger number and count on. +1 +1 +1 Children should: Have access to a wide
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 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 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 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 informationScientific Notation and Powers of Ten Calculations
Appendix A Scientific Notation and Powers of Ten Calculations A.1 Scientific Notation Often the quantities used in chemistry problems will be very large or very small numbers. It is much more convenient
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 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 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 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 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 informationSect 3.2 Synthetic Division
94 Objective 1: Sect 3.2 Synthetic Division Division Algorithm Recall that when dividing two numbers, we can check our answer by the whole number (quotient) times the divisor plus the remainder. This should
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 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 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 informationMaths Vocabulary Support Booklet
Maths Vocabulary Support Booklet The aim of this booklet is to help parents to understand and use the technical maths vocabulary accurately and confidently so you can help your children to do the same.
More informationYear 4 Non negotiables. Autumn Term
Year 4 Non negotiables Autumn Term Ist Half Term 2nd Half Term Count on/back in steps of 2s, 3s, 4s 5s, 8s, 10s, 6s and 9s (through zero to include negative numbers) Recall the 2, 3, 4, 5, 8 and 10 times
More informationBinary Numbers. October 08, Binary Numbers Key.notebook
Binary Numbers The decimal (base ten) numeral system has ten possible values (0,1,2,3,4,5,6,7,8, or 9) for each placevalue. In contrast, the binary (base two) numeral system has two possible values represented
More informationCalculations Policy. A shared document between parents and teachers.
Calculations Policy A shared document between parents and teachers. R. Fairgrieve November 2015 1 2 Introduction This calculations policy takes into account the changes in the curriculum since September
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 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 informationLesson 1 Order of Operations
Lesson 1 Order of Operations "Operations" means things like add, subtract, multiply, divide Student A solved the following problem: 177 x 2 = 20. Is he correct? Why or why not? Lesson 1 Order of Operations
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 informationWritten methods for addition of whole numbers
Written methods for addition of whole numbers The aim is that children use mental methods when appropriate, but for calculations that they cannot do in their heads they use an efficient written method
More informationExtending Division Patterns
Lesson 5.1 Extending Division Patterns Use patterns to find the quotients. 1. 8,500 4 100 5 8,500 4 1,000 5 8,500 4 10,000 5 8,500 4 100,000 5 8,500 4 1,000,000 5 3. 5,000 4 2 5 5,000 4 20 5 5,000 4 200
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 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 informationActivities with Graph Paper for Enhancing Learning of Mathematics
Activities with Graph Paper for Enhancing Learning of Mathematics Harinder Mahajan Graph paper is a very versatile and useful device for learning mathematics and is not used much in primary and middle
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 informationeday Lessons Mathematics Grade 8 Student Name:
eday Lessons Mathematics Grade 8 Student Name: Common Core State Standards Expressions and Equations Work with radicals and integer exponents. 3. Use numbers expressed in the form of a single digit times
More informationWhole Numbers. hundred ten one
Whole Numbers WHOLE NUMBERS: WRITING, ROUNDING The digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The natural numbers (counting numbers) are 1, 2, 3, 4, 5, and so on. The whole numbers are 0, 1, 2, 3, 4,
More informationIntroduction to Decimals
Introduction to Decimals Reading and Writing Decimals: Note: There is a relationship between fractions and numbers written in decimal notation. Threetenths 10 0. 1 zero 1 decimal place Three 0. 0 100
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 informationGap Closing. Decimal Computation. Junior / Intermediate Student Book
Gap Closing Decimal Computation Junior / Intermediate Student Book Module 8 Decimal Computation Diagnostic...4 Adding Decimal Tenths or Hundredths...6 Adding Mixed Decimals...10 Subtracting Decimal Tenths
More informationOverview of Unit Topics and Lesson Objectives. Topic 1: Multiplicative Patterns on the Place Value Chart 14
GRADE 5 UNIT 1 Place Value and Decimal Fractions Table of Contents Overview of Unit Topics and Lesson Objectives Lessons Topic 1: Multiplicative Patterns on the Place Value Chart 14 Lesson 1: Reason concretely
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 informationDECIMAL LONG DIVISION LEVELS IVI
DECIMAL LONG DIVISION LEVELS IVI Single and DoubleDigit Divisors Table of Contents IMPORTANT NOTE TO TEACHER............................... v LEVEL I Singledigit Divisors: 1step...................................
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 informationHundreds Chart. Vocabulary. Place Value
Addition plus, sum, addend Subtraction minus, difference Multiplication times, product, factor Division quotient, divisor, dividend Hundreds Chart SYMBOLS Addition: + Subtraction: Multiplication: x * Division:
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 informationUNIT 5 VOCABULARY: DECIMAL NUMBERS
º ESO Bilingüe Página UNIT 5 VOCABULARY: DECIMAL NUMBERS.. Decimal numbers Decimal numbers are used in situations in which we look for more precision than whole numbers provide. In order to do that, we
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 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 informationRules of Signs for Decimals
CHAPTER 6 C Rules of Signs for Decimals c GOAL Apply the rules of signs for calculating with decimals. You will need number lines a calculator with a sign change key Learn about the Math Positive and negative
More informationMath. Fraction, Decimal & Percent (Visual) Answers. Name: Determine the value written as a fraction, decimal & a percent. Ex) Fraction.
, Decimal & Percent (Visual) ) ) 0. 0%. 0. % ) Decimal 0. Percent 0% Decimal 0. Percent % ) Decimal 0. Percent %... 0. % 0. 0% 0. % 0. %. 0. %. 0. 0% ) Decimal 0. Percent 0% ) Decimal 0. Percent % ) Decimal
More information**Unedited Draft** Arithmetic Revisited Lesson 5: Decimal Fractions or Place Value Extended Part 2: Adding and Subtracting Decimals
1. Adding Decimals **Unedited Draft** Arithmetic Revisited Lesson 5: Decimal Fractions or Place Value Extended Part 2: Adding and Subtracting Decimals Decimal arithmetic is very similar to whole number
More informationMaths Calculation Policy September 2014
Maths Calculation Policy September 2014 Addition and Subtraction Progression Policy Adapted March 2014 to incorporate Years 12 and 7+ Visual Images??? Children should be selecting one of these three visual
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 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 informationOPERATIONS: x and. x 10 10
CONNECT: Decimals OPERATIONS: x and To be able to perform the usual operations (+,, x and ) using decimals, we need to remember what decimals are. To review this, please refer to CONNECT: Fractions Fractions
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 informationDECIMALS PRACTICE BOOKLET TABLE OF CONTENTS
DECIMALS PRACTICE BOOKLET TABLE OF CONTENTS SKILL 1: Representing Decimals and Place Value...3 SKILL 2: Graph Decimals on a Number Line...5 SKILL 3: Comparing Decimals...7 SKILL 4: Ordering Decimals...9
More informationGrade 5 Mathematics Performance Level Descriptors
Limited Grade 5 Mathematics Performance Level Descriptors A student performing at the Limited Level demonstrates a minimal command of Ohio s Learning Standards for Grade 5 Mathematics. A student at this
More informationPETERS TOWNSHIP SCHOOL DISTRICT CORE BODY OF KNOWLEDGE MATH GRADE 5
PETERS TOWNSHIP SCHOOL DISTRICT CORE BODY OF KNOWLEDGE MATH GRADE 5 For each of the sections that follow, students may be required to understand, apply, analyze, evaluate or create the particular concepts
More informationWord Problems. Simplifying Word Problems
Word Problems This sheet is designed as a review aid. If you have not previously studied this concept, or if after reviewing the contents you still don t pass, you should enroll in the appropriate math
More informationWhy Vedic Mathematics?
Why Vedic Mathematics? Many Indian Secondary School students consider Mathematics a very difficult subject. Some students encounter difficulty with basic arithmetical operations. Some students feel it
More informationSwavesey Primary School Calculation Policy. Addition and Subtraction
Addition and Subtraction Key Objectives KS1 Foundation Stage Say and use number names in order in familiar contexts Know that a number identifies how many objects in a set Count reliably up to 10 everyday
More informationExponent Properties Involving Products
Exponent Properties Involving Products Learning Objectives Use the product of a power property. Use the power of a product property. Simplify expressions involving product properties of exponents. Introduction
More informationOverview. Essential Questions. Grade 5 Mathematics, Quarter 3, Unit 3.2 Multiplying and Dividing With Decimals
Multiplying and Dividing With Decimals Overview Number of instruction days: 9 11 (1 day = 90 minutes) Content to Be Learned Multiply decimals to hundredths. Divide decimals to hundredths. Use models, drawings,
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 realworld situations. [PREREQUISITE SKILLS] addition and subtraction
More informationVedic Method of Finding Square Roots
Vedic Method of Finding Square Roots The procedure for extracting the square root of a number is similar to the method of straight division except that, in this case, the Divisor should be exactly double
More information