2. 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

Size: px
Start display at page:

Download "2. 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"

Transcription

1 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 the quotient. is equivalent to is equivalent to is equivalent to divide by Steps for Dividing Decimal Numbers. The divisor (the outside number) needs to be a whole number. If the divisor contains a decimal you will need to move the decimal point to the end of the divisor. i. Count the number of times you will need to move the decimal point so that it is at the end of the divisor. ii. You will need to move the decimal point of the dividend (the inside number) the exact same number of times.. 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. Place the decimal point in the quotient immediately above the decimal point in the dividend. (Carry the decimal point up.) Example : Divide by. Solution:.5. Since we are in the decimal chapter, we will not stop when we have a remainder. Instead we will add a decimal point and a zero to the back of the dividend. We will continue to divide and add zeros to the back of the dividend until we get a remainder of zero or the problem tells us to round to a specific decimal place. Hence,.5.

2 Math Section 5. Dividing Decimals You Try It : Divide by 5. Example : Divide Solution: Hence, You Try It : Divide..55 Example : Divide..6.9 Solution:.6.9 Since we have a decimal point in the divisor, we will need to move the decimal point to the end. In this case the decimal point needs to move TWO times to move to the end. This means we will need to move the decimal point in the dividend, TWO times to the right as well becomes Hence, You Try It : Divide

3 Math Section 5. Dividing Decimals Review of Dividing Signed Numbers Like Signs: The quotient to two numbers with like signs is positive. Unlike Signs: The quotient to two numbers with unlike signs is negative. Example : Divide... Solution: Since we have unlike signs, we know that our answer should be negative... Since we have a decimal point in the divisor, we will need to move the decimal point to the end. In this case the decimal point needs to move THREE times to move to the end. This means we will need to move the decimal point in the dividend, THREE times to the right as well..... becomes We will need to add a decimal point and zeros behind the to complete the division Hence,...5. Don t forget to put the negative sign in your answer! You Try It : Divide...5

4 Math Section 5. Dividing Decimals Example 5: Convert 7 to a decimal. Round your answer to the nearest hundredth. Solution: 7 7. Since the directions ask us to round, we do not need to keep dividing until we get no remainder. Instead, we will divide to one place value past where the problem is asking us to round. For example, this question asks us to round to the nearest hundredth. Therefore we must divide until we have a thousandths place (one place value past a hundredth). The reason we need one more place value past what is asked is because we need a testing digit to be able to see how to round the rounding digit. (See Section. for a review on rounding.) We will add a decimal point to the back of the dividend,, and add zeros behind the decimal point as needed. So we have rounding digit testing digit You Try It 5: Convert 5 7 to a decimal. Round your answer to the nearest hundredth. Consider: Dividing a number by n will move the decimal point n places to the left. EX:

5 Math Example 6: Simplify Section 5. Dividing Decimals Solution: According to the rule, dividing by should move the decimal point FOUR places to the left You Try It 6: Simplify Note: Multiplying and have very similar steps. The only difference is for one you move RIGHT and for the other you move LEFT. Multiplying by Powers of Ten Multiplying a number by n will move the decimal point n places to the RIGHT. When multiplying by n, your answer will be larger than the dividend. This is why the decimal is moving to the RIGHT. Dividing a number by n will move the decimal point n places to the LEFT. When dividing by n, your answer will be smaller than the dividend. This is why the decimal is moving to the LEFT. 5

HFCC Math Lab Arithmetic - 6. Adding, Subtracting, Multiplying and Dividing Decimals

HFCC Math Lab Arithmetic - 6. Adding, Subtracting, Multiplying and Dividing Decimals HFCC Math Lab Arithmetic - 6 Adding, Subtracting, Multiplying and Dividing Decimals Part I: Adding and Subtracting Decimals Procedure: When adding or subtracting decimal numbers, 1. Arrange the numbers

More information

Operations on Decimals

Operations on Decimals Operations on Decimals Addition and subtraction of decimals To add decimals, write the numbers so that the decimal points are on a vertical line. Add as you would with whole numbers. Then write the decimal

More information

Reteaching. Properties of Operations

Reteaching. 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 information

DECIMALS. left of the decimal point is the "ones" place. The "tens" place is two places to the left. Place Value Chart

DECIMALS. left of the decimal point is the ones place. The tens place is two places to the left. Place Value Chart Subject Strand: Number Sense Objective: The student will understand place value from millions to millionths. Materials: Decimals: Place Value Chart One decimal place to the right of the decimal point is

More information

Section R.2. Fractions

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 information

Improper Fractions and Mixed Numbers

Improper 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 information

DECIMAL LONG DIVISION LEVELS I-VI

DECIMAL LONG DIVISION LEVELS I-VI DECIMAL LONG DIVISION LEVELS I-VI Single and Double-Digit Divisors Table of Contents IMPORTANT NOTE TO TEACHER............................... v LEVEL I Single-digit Divisors: 1-step...................................

More information

Chapter 6. Math Review. Copyright 2012, 2009, 2003 by Saunders, an imprint of Elsevier Inc. All rights reserved. 1

Chapter 6. Math Review. Copyright 2012, 2009, 2003 by Saunders, an imprint of Elsevier Inc. All rights reserved. 1 Chapter 6 Math Review Copyright 2012, 2009, 2003 by Saunders, an imprint of Elsevier Inc. All rights reserved. 1 Lesson Objectives Identifying proper, improper, and equivalent fractions. Changing improper

More information

Paramedic Program Pre-Admission Mathematics Test Study Guide

Paramedic 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 information

What are the power words in this poster? Why do you think these words were made to stand out?

What are the power words in this poster? Why do you think these words were made to stand out? http://library.duke.edu/rubenstein/scriptorium/eaa/broadsides/b03/b0304/b0304-01- 72dpi.html What are the power words in this poster? Why do you think these words were made to stand out? http://chnm.gmu.edu/tah-loudoun/wp-content/lessons/griffin/land-grant.1.jpeg

More information

DECIMAL REVIEW. 2. Change to a fraction Notice that =.791 The zero in front of the decimal place is not needed.

DECIMAL 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 information

Quantile Textbook Report

Quantile Textbook Report Quantile Textbook Report My Math Grade 5 Volume 1 Author StateEdition Grade 5 1 Place Value 1.1 Place Value Through Millions 620Q 1.2 Compare and Order Whole Numbers Through Millions 600Q 1.3 Hands On:

More information

DIVISION OF DECIMALS. 1503 9. We then we multiply by the

DIVISION 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 information

Grade 5 Unit 2 Multi-digit Whole Number and Decimal Fraction Operations

Grade 5 Unit 2 Multi-digit Whole Number and Decimal Fraction Operations Grade 5 Unit 2 Multi-digit Whole Number and Decimal Fraction Operations Standards NBT.1 NBT.2 NBT.5 NBT.6 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it

More information

DATE PERIOD. Estimate the product of a decimal and a whole number by rounding the Estimation

DATE 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 information

Class 8 Chapter 6: Decimals (Lecture Notes)

Class 8 Chapter 6: Decimals (Lecture Notes) Class 8 Chapter 6: Decimals (Lecture Notes) DECIMAL FRACTIONS These decimal fractions when expressed in the decimal form are known as decimal numbers or simply decimals. Examples: 8, 64, 329 are all decimal

More information

MATH FOR NURSING DECIMALS. Written by: Joe Witkowski and Eileen Phillips

MATH FOR NURSING DECIMALS. Written by: Joe Witkowski and Eileen Phillips MATH FOR NURSING DECIMALS Written by: Joe Witkowski and Eileen Phillips Section 1: Introduction Decimals The name and the place value for the first seven columns in our number system is as follows: Hundred

More information

Scientific Notation Study Guide

Scientific Notation Study Guide Scientific Notation Study Guide What is scientific notation?: Scientific notation is a shorthand method to represent VERY LARGE numbers or VERY SMALL numbers. Ex: 3,400,000,000 = 3.4 10 9 0.0000000576

More information

DECIMAL 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. 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 information

The wavelength of infrared light is meters. The digits 3 and 7 are important but all the zeros are just place holders.

The wavelength of infrared light is meters. The digits 3 and 7 are important but all the zeros are just place holders. Section 6 2A: A common use of positive and negative exponents is writing numbers in scientific notation. In astronomy, the distance between 2 objects can be very large and the numbers often contain many

More information

Unit 7 : Decimals. Friendly Notes = 2 ones 5 tenths 6 hundredths 3 thousandths =

Unit 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 information

In the box above there are out of boxes shaded, so as a fraction this is. As a decimal, there are of the boxes shaded. ( divided by ).

In the box above there are out of boxes shaded, so as a fraction this is. As a decimal, there are of the boxes shaded. ( divided by ). Unit.1: Fractions, Decimals and Percent Lesson: Fractions to Decimals Objectives: Students will review what a fraction is with names of parts. They will convert fractions to decimals and back again using

More information

Sect 4.3 Multiplication of Decimals

Sect 4.3 Multiplication of Decimals 105 Sect 4. Multiplication of Decimals Objective a: Understanding how to multiply decimals. In the first section of this chapter, we saw how to write decimals as fractions and vice-versa. Although we will

More information

6 th Grade Math. Chapter 1 Decimals

6 th Grade Math. Chapter 1 Decimals 6 th Grade Math Chapter 1 Decimals Lesson 1-1 Understanding Whole Numbers Definition Facts/Characteristics A number written in digits and place value Vocabulary Word Standard form The place of the digit

More information

Number and Operations in Base Ten NBT.1.1

Number and Operations in Base Ten NBT.1.1 Unit & Go & lessons from NBT.1.1 NBT.1.2 Understand the place value system. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

More information

Lesson 8: Working with Fractions

Lesson 8: Working with Fractions Lesson 8: Working with Fractions One area of math that is important to understand is fractions. This lesson covers the basics of what fractions are and how to work with them. Lesson Objectives After completing

More information

Saxon Math Home School Edition. September 2008

Saxon 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 information

3.4 DIVIDING DECIMAL NUMBERS

3.4 DIVIDING DECIMAL NUMBERS 3.4 DIVIDING DECIMAL NUMBERS Lindy has decided to plant Gerbera daisies along the border of her flower garden. The border is 22.5 feet long. She has been gardening for many years and, based on her experience,

More information

Decimals Adding and Subtracting

Decimals 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 information

Math Help and Additional Practice Websites

Math 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/grade-7 http://www.softschools.com/grades/6th_and_7th.jsp

More information

Decimal Notation ,000 10, Write a word name for the whole number. That is, the number to the left of the decimal point.

Decimal Notation ,000 10, Write a word name for the whole number. That is, the number to the left of the decimal point. Decimal Notation Place Value Chart Hundreds Tens Ones Tenths Hundredths Thousandths Ten- Thousandths 00 0 0 00,000 0, 000 Hundred- Thousandths 00, 000 Millionths,000, 000 How to write a word name, given

More information

UNIT 9 OPERATIONS WITH DECIMALS

UNIT 9 OPERATIONS WITH DECIMALS UNIT 9 OPERATIONS WITH DECIMALS INTRODUCTION In this Unit, we will use our understanding of operations, decimals, and place value to perform operations with decimals. The table below shows the learning

More information

Now that we have a handle on the integers, we will turn our attention to other types of numbers.

Now 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 information

DECIMALS. Rounding Decimals Review and Multiplying Decimals. copyright amberpasillas2010. Rounding Review. Decimals are read as and

DECIMALS. 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 information

troduction to Algebra

troduction 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 information

Rounding Decimal Numbers

Rounding 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 information

Fractions to decimals

Fractions 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 information

Class 8 Mathematics: Chapter 5: Fractions (Lecture Notes)

Class 8 Mathematics: Chapter 5: Fractions (Lecture Notes) Class 8 Mathematics: Chapter 5: Fractions (Lecture Notes) Fractions: The number of the form a b, where a and b are natural numbers are known as fractions. In a fractiona b, a is known as numerator and

More information

Solution Guide Chapter 14 Mixing Fractions, Decimals, and Percents Together

Solution 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 information

Roselle Math Curriculum Unit Title: 7 Multiplying and Dividing Decimals Grade: _5_. Common Core Standards, 2010

Roselle 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 information

Scientific Notation Notes

Scientific Notation Notes Scientific Notation Notes Scientific notation is a short way to write very large or very small numbers. It is written as the product of a number between 1 and 10 and a power of 10. TO CONVERT A NUMBER

More information

Math. Rounding Decimals. Answers. 1) Round to the nearest tenth. 8.54 8.5. 2) Round to the nearest whole number. 99.59 100

Math. 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 information

Long Division. Trial Divisor. ~The Cover-up Method~

Long Division. Trial Divisor. ~The Cover-up Method~ Long Division by Trial Divisor ~The Cover-up Method~ Many students have experienced initial difficulty when first learning to divide by a multi-digit divisor. To address this, we will choose our numbers

More information

Sec. 5.1 Decimal Applications: Introduction to Decimals

Sec. 5.1 Decimal Applications: Introduction to Decimals Sec. 5.1 Decimal Applications: Introduction to Decimals Learning Objectives: 1. Know the meaning of place value for a decimal number, and write decimals in words. 2. Write decimals in standard form. 3.

More information

Mini-Posters. LES 1 Shopping at the Co-op

Mini-Posters. LES 1 Shopping at the Co-op Mini-Posters LES 1 Shopping at the Co-op 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 information

100 which when written as a decimal is 0.06.

100 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 Co-op, which charges 0.094 dollars per kilowatt-hour

More information

Decimal Place Value Chart

Decimal Place Value Chart Math 20 Arithmetic Sec 5.1: Introduction to Decimals Consider the decimal number 13.4238 and identify its three components: whole number part, decimal point, and fractional part. Finish the expanded form:

More information

Converting from Fractions to Decimals

Converting 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 information

Topic Topic 1 Topic 2 Topic 3 Topic 4 Topic 5

Topic Topic 1 Topic 2 Topic 3 Topic 4 Topic 5 Topic Topic 1 Lesson 1 Place Value Place Value Lesson 2 Tenths and Hundredths Lesson 3 Thousandths Lesson 4 Decimal Place Value Lesson 5 Comparing and Ordering Decimals Lesson 6 Problem Solving: Look for

More information

Math Review. Estimating Sums and Differences. Multiplying Numbers Ending in Zeros

Math Review. Estimating Sums and Differences. Multiplying Numbers Ending in Zeros This arithmetic review will help you solve many of the end-of-chapter problems in this text as well as common arithmetic problems you may encounter in business. Estimating Sums and Differences In some

More information

Section 7-1 Introduction to Decimals. Decimals are an alternative was of representing fractions using our base-10 system.

Section 7-1 Introduction to Decimals. Decimals are an alternative was of representing fractions using our base-10 system. Section 7-1 Introduction to Decimals Decimals are an alternative was of representing fractions using our base-10 system. Connecting Decimals and Integers: Decimals and integers are both base-10 place value

More information

Free GK Alerts- JOIN OnlineGK to DECIMAL FRACTIONS IMPORTANT FACTS AND FORMULAE

Free GK Alerts- JOIN OnlineGK to DECIMAL FRACTIONS IMPORTANT FACTS AND FORMULAE Free GK Alerts- JOIN OnlineGK to 9870807070 3. DECIMAL FRACTIONS IMPORTANT FACTS AND FORMULAE I. Decimal Fractions : Fractions in which denominators are powers of 10 are known as decimal fractions. Thus,1/10=1

More information

FRACTIONS, DECIMALS, PERCENTAGES how do they relate?

FRACTIONS, DECIMALS, PERCENTAGES how do they relate? CONNECT: Fractions FRACTIONS 4 FRACTIONS, DECIMALS, PERCENTAGES how do they relate? If you are unsure about what a fraction is, please refer to CONNECT: Fractions Manipulating fractions. To relate Fractions

More information

count up and down in tenths count up and down in hundredths

count up and down in tenths count up and down in hundredths Number: Fractions (including Decimals and Percentages COUNTING IN FRACTIONAL STEPS Pupils should count in fractions up to 10, starting from any number and using the1/2 and 2/4 equivalence on the number

More information

Number: Fractions (including Decimals and Percentages)

Number: Fractions (including Decimals and Percentages) COUNTING IN FRACTIONAL STEPS Pupils should count in fractions up to 10, starting from any number and using the1/2 and 2/4 equivalence on the number line (Non Statutory Guidance count up and down in tenths

More information

DECIMALS are special fractions whose denominators are powers of 10.

DECIMALS 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 information

MATH-0910 Review Concepts (Haugen)

MATH-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 information

Recall the process used for adding decimal numbers. 1. Place the numbers to be added in vertical format, aligning the decimal points.

Recall 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 information

21 2 = = = = = = 900. The square of 24 (which is an even number): 24 2 = 576 (an even number)

21 2 = = = = = = 900. The square of 24 (which is an even number): 24 2 = 576 (an even number) 1. Squares Square Numbers or Perfect Squares: The numbers, which can be expressed as the product of two identical numbers, are known as square numbers or perfect squares. Squares of numbers ending with

More information

Algebra Division Patterns with Decimals R

Algebra Division Patterns with Decimals R Lesson 5.1 Algebra Division Patterns with Decimals To divide a number by 1, 1, or 1,, use the number of zeros in the divisor to determine how the position of the decimal point changes in the quotient.

More information

If you have $5 and you owe me $8, do you owe me money? Why? How do we use algebra to write this? Why do we need negative numbers?

If you have $5 and you owe me $8, do you owe me money? Why? How do we use algebra to write this? Why do we need negative numbers? Basic Things You Absolutely Need to Know: Integers Vocabulary and Algebraic Symbols: What are integers? Give some examples and non-examples. If you have $5 and you owe me $8, do you owe me money? Why?

More information

Chapter 4 -- Decimals

Chapter 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 information

How To Math Properties

How To Math Properties CLOSURE a + b is a real number; when you add 2 real numbers, the result is also a real number. and 5 are both real numbers, + 5 8 and the sum, 8, is also a real number. a b is a real number; when you subtract

More information

Number. Decimals. Teaching for mastery in primary maths

Number. Decimals. Teaching for mastery in primary maths Number Decimals Teaching for mastery in primary maths Contents Introduction 3 01. Introduction to decimals 4 02. Four operations with decimals 5 03. Calculating with decimals 6 2 Introduction Throughout

More information

Dividing Decimal Numbers

Dividing Decimal Numbers Section 2.4 PRE-ACTIVITY 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 information

MATHEMATICS STANDARDS, K-5

MATHEMATICS STANDARDS, K-5 MATHEMATICS STANDARDS, K-5 Kindergarten Counting and Cardinality o Knows the number names and count sequence to 100 from any given number by ones and tens. o Reads and writes numerals to 20. o Counts objects

More information

Topics: Skills VII. Exercise Book. Long Division (4 digits by 2) Multiplication (3 digits by 2) Addition and subtraction of decimals

Topics: Skills VII. Exercise Book. Long Division (4 digits by 2) Multiplication (3 digits by 2) Addition and subtraction of decimals Skills VII Eercise Book Topics: Long Division ( digits by ) Multiplication ( digits by ) Addition and subtraction of decimals Multiplication and division of decimals ounding off decimals Fractions of a

More information

Operations With Fractions. Chapter 4 Math 7

Operations With Fractions. Chapter 4 Math 7 Operations With Fractions Chapter 4 Math 7 Estimating With Fractions and Mixed Numbers Lesson 4-1 Using Benchmarks With Fractions A benchmark is a convenient number used to replace fractions that are less

More information

Class 8 Chapter 7: Square Roots & Cube Roots (Lecture Notes)

Class 8 Chapter 7: Square Roots & Cube Roots (Lecture Notes) Class 8 Chapter 7: Square Roots & Cube Roots (Lecture Notes) SQUARE OF A NUMBER: The Square of a number is that number raised to the power. Eamples: Square of 9 = 9 = 9 9 = 8 Square of 0. = (0.) = (0.)

More information

Scope and Sequence. AM CC Grade 5 Library

Scope and Sequence. AM CC Grade 5 Library The Accelerated Math scope and sequence is based on extensive mathematics and standards research and consultation from mathematics educators, mathematicians, and university researchers. You're sure to

More information

Topics: Skills X. Exercise Book. Factors. Divisibility rules. Multiplication of fractions by decimals. Division of fractions by decimals

Topics: Skills X. Exercise Book. Factors. Divisibility rules. Multiplication of fractions by decimals. Division of fractions by decimals Skills X Eercise Book Topics: Factors Divisibility rules Multiplication of fractions by decimals Division of fractions by decimals Eponents and square roots Prime factorization Integers and order of operations

More information

1004.6 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.

1004.6 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 information

How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.

How 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 information

About Fractions. Introduction

About Fractions. Introduction About Fractions TABLE OF CONTENTS About Fractions... 1 What is a FRACTION?... 1 Introduction... 1 Introduction... 1 Forms of Fractions... 1 Different Forms of Fractions... 1 Proper Fractions... 2 Improper

More information

Complete each problem, and show all steps used to arrive at the final answer.

Complete each problem, and show all steps used to arrive at the final answer. Incoming 6 th Grade Math Summer Packet Packet Due Date: August 2-2, 20 Dear Carver students and parents, This summer, we encourage you to continue to practice your mathematics at home. Being actively involved

More information

SCIENTIFIC NOTATION. Scientific Notation

SCIENTIFIC NOTATION. Scientific Notation HFCC Math Lab Beginning Algebra - SCIENTIFIC NOTATION There is a way of writing numbers that is called scientific notation. Every number that can be written as a terminating decimal can be also written

More information

Changing a Mixed Number to an Improper Fraction

Changing 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 information

Grade 5 Unit 4 Multiplication and Division of Fractions and Decimal Fractions

Grade 5 Unit 4 Multiplication and Division of Fractions and Decimal Fractions Grade 5 Unit 4 Multiplication and Division of Fractions and Decimal Fractions Standards NF.3 Interpret a fraction as division of the numerator by the denominator (a/b = a b). Solve word problems involving

More information

Chapter 7 - Decimals. 7.1 Decimals

Chapter 7 - Decimals. 7.1 Decimals Chapter 7 - Decimals 7.1 Decimals Verbal Description Decimals are used to represent fractions in our usual base ten place-value notation The decimal point is placed between the ones column and the tenths

More information

Dr Brian Beaudrie pg. 1

Dr 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 information

Round to Decimal Places

Round to Decimal Places Day 1 1 Round 5.0126 to 2 decimal 2 Round 10.3217 to 3 decimal 3 Round 0.1371 to 3 decimal 4 Round 23.4004 to 2 decimal 5 Round 8.1889 to 2 decimal 6 Round 9.4275 to 2 decimal 7 Round 22.8173 to 1 decimal

More information

Accuplacer Arithmetic Study Guide

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 information

Fractions and Decimals

Fractions and Decimals Math Success Reproducible Worksheets Reproducible Worksheets for: Fractions and Decimals These worksheets practice math concepts explained in Fractions and Decimals (ISBN 0-7660-1430 4), written by Lucille

More information

*Converting Fractions to Decimals

*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 information

Sequential Skills. Strands and Major Topics

Sequential 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 information

1 of 11. Section 3.1. MAT001 Chapter 3 - Decimals. Using Decimal Notation. Decimal Fractions. Place Values. Fractions & Equivalent Decimals

1 of 11. Section 3.1. MAT001 Chapter 3 - Decimals. Using Decimal Notation. Decimal Fractions. Place Values. Fractions & Equivalent Decimals MAT00 Chapter - Decimals Decimal Fractions Section Using Decimal Notation Decimal fractions are fractions with 0, 00, 000, and so on in the denominator. 6 40,, and 0 00 000 Decimal fractions can be written

More information

Correlation of Go Math! Florida Grade 4 (Houghton Mifflin Harcourt) to Florida Mathematics Standards Grade 4 (Everglades K 12 Publishing, Inc.

Correlation of Go Math! Florida Grade 4 (Houghton Mifflin Harcourt) to Florida Mathematics Standards Grade 4 (Everglades K 12 Publishing, Inc. Florida Mathematics Standards Grade 4 ( Publishing, Inc.) Chapter 1: Use and Represent Whole 5 1.1 Represent Millions MA.4.A.6.1 160 9 1.2 Place Value Through MA.4.A.6.1 160 Ten Millions 13 1.3 Build Millions

More information

3rd Grade Math. Course Outcomes. SWBAT explain numerical expressions using whole numbers to the thousands and money values. (OA)

3rd Grade Math. Course Outcomes. SWBAT explain numerical expressions using whole numbers to the thousands and money values. (OA) Course Title 3rd Grade Math Course Outcomes 1 2 SWBAT explain numerical expressions using whole numbers to the thousands and money values. (OA) SWBAT use place value understanding to estimate multi-digit

More information

Grade 5 Mathematics Performance Level Descriptors

Grade 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 information

Dividing Decimal Numbers

Dividing Decimal Numbers Section 2.4 PRE-ACTIVITY 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 information

MULTIPLICATION AND DIVISION OF SIGNED NUMBERS. You learned from an earlier chapter that multiplication is a short way of doing repeated addition.

MULTIPLICATION AND DIVISION OF SIGNED NUMBERS. You learned from an earlier chapter that multiplication is a short way of doing repeated addition. Tallahassee Community College 46 MULTIPLICATION AND DIVISION OF SIGNED NUMBERS You learned from an earlier chapter that multiplication is a short way of doing repeated addition. Just as 3 8 means 3 addends

More information

Pre-Algebra Lecture 6

Pre-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 information

5th Grade Math Course of Study

5th Grade Math Course of Study 5th Grade Math Course of Study August/September Topic 1: Place Value Pacing: 9 Days Focus: decimal place value Standard: 5.NBT.A.1; 5.NBT.A.3a 1-1 Place Value Relationships 1-2 Tenths and Hundredths 1-3

More information

1 st Quarter Scope and Sequence GRADE. Table of Contents 1. SCOPE AND SEQUENCE 2. CLUSTER EMPHASIS

1 st Quarter Scope and Sequence GRADE. Table of Contents 1. SCOPE AND SEQUENCE 2. CLUSTER EMPHASIS 1 st Quarter 2016-2017 Scope and Sequence GRADE 5 Table of Contents 1. SCOPE AND SEQUENCE 2. CLUSTER EMPHASIS Date Standards Lessons for Module 1 Terminology For Module 1 Suggested Tools & Representations

More information

PETERS TOWNSHIP SCHOOL DISTRICT CORE BODY OF KNOWLEDGE MATH GRADE 5

PETERS 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 information

ARITHMETIC. Overview. Testing Tips

ARITHMETIC. 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 information

Chapter 1: Order of Operations, Fractions & Percents

Chapter 1: Order of Operations, Fractions & Percents HOSP 1107 (Business Math) Learning Centre Chapter 1: Order of Operations, Fractions & Percents ORDER OF OPERATIONS When finding the value of an expression, the operations must be carried out in a certain

More information

PREPARATION FOR MATH TESTING at CityLab Academy

PREPARATION 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 information

The Next Step. Mathematics Applications for Adults. Book Decimals

The Next Step. Mathematics Applications for Adults. Book Decimals The Next Step Mathematics Applications for Adults Book 14016 - Decimals OUTLINE Mathematics - Book 14016 Decimals Understanding and Comparing Decimals organize a list of decimals and mixed decimals in

More information

Fifth Grade. Unit 1: Numbers and Operations in Base 10 (3 to 4 weeks) Reference 5.NBT.1 (PBA/EOY)

Fifth Grade. Unit 1: Numbers and Operations in Base 10 (3 to 4 weeks) Reference 5.NBT.1 (PBA/EOY) Fifth Grade Each of the standards are color coded based on the PARCC frameworks. Major PARCC standards are coded in green Supporting PARCC standards are coded in blue Additional PARCC standards are coded

More information