Round decimals to the nearest whole number


 Bryce Hawkins
 1 years ago
 Views:
Transcription
1 Round decimals to the nearest whole number
2 Learning Objective Simplifying Fractions
3 Simplified Fractions To simplify a fraction, we find an equivalent fraction which uses the smallest numbers possible. We do this by dividing. We need to know our tables for this! Ask yourself, what can I divide both 2 and 0 by? 8 is the biggest number we can divide both by and 3/5 uses the smallest possible numbers as we cannot divide them by anything else.
4 Look at this one The first thing I notice is that 28 and 56 are both in the 7 times table. So I m going to divide both numbers by = 7= 8 Is this simplified? NO! I can still divide both numbers by. = 8 = 8
5 Let s work through this together. 8 60
6 Try this one with a partner 2 63
7 Try this one with a partner 5 90
8 Try this one with a partner 32 56
9 OMA Round Decimal numbers to the nearest 0 th or 00 th
10 Learning Objective Consolidate recognition of equivalent fractions.
11 Equivalent fractions We are learning about equivalent fractions whole / 2 / 2 / / / /
12 whole ½ ½ ¼ ¼ ¼ ¼ We can see that / = 2 / 2 = / = 8 They are equivalent fractions
13 whole / 2 / 2 / / / / We can see that 2 is the same length as / So 2 = / They are equivalent fractions
14 Which fractions are equivalent to ½? whole ½ ¼ ¼ / 2 = 2 / =
15 whole / 2 / 2 / / / / Which of these fractions is equivalent to /? / 2 2
16
17
18 whole / 2 / 2 / / / / Which of these fractions is equivalent to? 2 / /
19
20
21 whole / 3 / 3 / 3 / 6 / 6 / 6 / 6 / 6 / 6 / 2 / 2 / 2 / 2 / 2 / 2 / 2 / 2 / 2 / 2 / 2 / 2 / 3 = 2 / 6 = / 2 Look at the equivalent fractions each time the numerators double, the denominators also double. Which other fraction will be equivalent? 8 / 2 6 / 2 / 2
22
23 Equivalent Fractions
24 We can see that ½ is the same as 2/, 3/6, /8 and 5/0. These are EQUIVALENT FRACTIONS. Find me an equivalent of: 2/8 3/9 8/0 9/9 /6
25 How do we know that two fractions are the same? We cannot tell whether two fractions are the same until we simplify them to their lowest terms. A fraction is in its lowest terms (simplified) if we cannot find a whole number (other than ) that can divide into both its numerator and denominator (A common factor). Examples: is not reduced because 2 can divide into both 6 and 0. is not reduced because 5 divides into both 35 and 0.
26 How do we know that two fractions are the same? More examples: is not reduced because 0 can divide into both 0 and 260. is reduced. is reduced To find out whether two fraction are equal, we need to reduce them to their lowest terms.
27 How do we know that two fractions are the same? Examples: Are and 2 30 equal? 5 reduce reduce reduce Now we know that these two fractions are actually the same!
28 How do we know that two fractions are the same? Another example: Are and equal? 2 0 reduce reduce reduce This shows that these two fractions are not the same!
29 Simplify the following Fractions
30 Ordering fractions If the DENOMINATOR is the same, look at the NUMERATORS, and put the fractions in order (if ordered smallest largest)
31 Ordering fractions If the DENOMINATOR is different, we have a problem that must be dealt with differently We need to convert our fractions to EQUIVALENT fractions of the same DENOMINATOR. We will come back to this example.
32 Ordering fractions If the DENOMINATOR is the different, we have a problem that must be dealt with differently Here s an easier example, with just 2 fractions to start us off.
33 Ordering fractions Look at the denominators. We must look for a COMMON MULTIPLE This means that we check to see which numbers are in the 6 times table, and the 9 times table. We need a number that appears in both lists.
34 Ordering fractions Look at the denominators. We must look for a COMMON MULTIPLE. Multiples of 6 are 6, 2, 8, 2, 30, 36, 2, 8, 5, 60 Multiples of 9 are 9, 8, 27, 36, 5, 5, 63, 72, 8, 90
35 Ordering fractions COMMON MULTIPLES are: Multiples of 6 are 6, 2, 8, 2, 30, 36, 2, 8, 5, 60 Multiples of 9 are 9, 8, 27, 36, 5, 5
36 Ordering fractions COMMON MULTIPLES are: 8, 36 and 5. There are others that are higher, but we only look at smaller numbers. Remember: Smaller numbers are SIMPLER. 8 is the smallest number that is common, so we ll use this.
37 Ordering fractions We need to convert these fractions so they have the same denominator. 6 x 3 x 3? 8
38 Ordering fractions We need to convert these fractions so they have the same denominator. 6 x 3 x 3 2 8
39 Ordering fractions We need to convert these fractions so they have the same denominator. 3 9 x 2 x 2? 8
40 Ordering fractions We need to convert these fractions so they have the same denominator. 3 9 x 2 x 2 6 8
41 Ordering fractions So these fractions: Are EQUIVALENT to these ones:
42 Ordering fractions And this is the correct order Because these EQUIVALENT FRACTIONS are in order 2 8 8
43 Ordering fractions Remember our example The LOWEST COMMON DENOMINATOR is 2 check for all the multiples of the DENOMINATORS. 2 is the first number to appear in all the lists.
44 Ordering fractions Convert to 2ths The LOWEST COMMON DENOMINATOR is 2 check for all the multiples of the DENOMINATORS. 2 is the first number to appear in all the lists.
45 Ordering fractions Convert to 2ths 2 nd th 5 th st 3 rd This tells you how large our fractions are. Check which order they go in.
46 Ordering fractions Convert to 2ths 2 nd th 5 th st 3 rd This tells you how large our fractions are. Check which order they go in.
47 Ordering fractions So this is the correct order
48 Ordering Fractions 2 If we want to order fractions, we need to make sure our working out is clear. For every question, please use the following method We look for a COMMON MULTIPLE.
49 Ordering Fractions Look at the DENOMINATORS. What are the MULTIPLES?
50 Ordering Fractions : 9, 8, 27, 36, 5, 5, 2: 2, 2, 36, 8, 60, 6: 6, 2, 8, 2, 30, 36, 8, :, 8, 2, 6, 20, 2, 28, 32, 36,
51 Ordering Fractions Use 36 as the COMMON DENOMINATOR.
52 Ordering Fractions
53 Ordering Fractions x x 3 x 6 x 9 Find the number that you need to multiply the DENOMINATORS by to get
54 Ordering Fractions x x 3 x 6 x 9 Multiply the NUMERATORS by the same amount as you multiplied the DENOMINATORS
55 Ordering Fractions x x 3 x 6 x
56 Ordering Fractions x x 3 x 6 x Decide which order the fractions need to be in. 2nd 3rd st th
57 Ordering Fractions x x 3 x 6 x putting them in order
58 Ordering Fractions Now convert them back x x 3 x 6 x
59 Ordering Fractions and the final answer x x 3 x 6 x
60 Learning Objective Consolidate changing an improper Fraction to a mixed number and vice versa
61 FRACTIONS = = = 5 =
62 FRACTIONS = 3 3 = = 2 3
63 FRACTIONS = 2 3 Improper Fraction Mixed Number
64 FRACTIONS Improper Fraction Mixed Number 8 5 = 3 5
65 FRACTIONS Improper Fraction Mixed Number 5 =
66 FRACTIONS Improper Fraction Mixed Number 5 = 3 3
67 To convert an improper fraction to a mixed number what do you do? Numerator Denominator If it isn t a whole number then keep the denominator the same.
68
69 Learning Objective Revise knowledge of converting Fractions, Decimals and Percentages.
70 The connection between fractions, decimals and percentages. Share into 00 equal parts. Fraction Decimal % % % % 0.0 % %
71 The connection between fractions, decimals and percentages. Share into 00 equal parts. Fraction Decimal % % % % % 0.0 0%
72 The connection between fractions, decimals and percentages. Share into 00 equal parts. Fraction Decimal % % 0% 20% 0% 50% 60% 80% 90% 70%
73 The connection between fractions, decimals and percentages. Share into 00 equal parts. Fraction Decimal % % 25% 50% 00%
74 TENTHS AND FIFTHS 5 2 = = So find a tenth and double it! To convert 3/5 to a decimal. Convert 3/0 = 0.3 Double it to get 0.6!
75 Now convert these to decimals 25% 20% 80% 3%
76 Now convert these to Fractions 25% 20% 80% 3%
77 Can you reduce them to their simplest form? 25% 20% 80% 3%
78 Convert these Decimals to a Fraction and a Percentage
Fractions. If the top and bottom numbers of a fraction are the same then you have a whole one.
What do fractions mean? Fractions Academic Skills Advice Look at the bottom of the fraction first this tells you how many pieces the shape (or number) has been cut into. Then look at the top of the fraction
More informationMultiplying Fractions
. Multiplying Fractions. OBJECTIVES 1. Multiply two fractions. Multiply two mixed numbers. Simplify before multiplying fractions 4. Estimate products by rounding Multiplication is the easiest of the four
More informationKey. Introduction. What is a Fraction. Better Math Numeracy Basics Fractions. On screen content. Narration voiceover
Key On screen content Narration voiceover Activity Under the Activities heading of the online program Introduction This topic will cover how to: identify and distinguish between proper fractions, improper
More informationIntroduction to Fractions
Introduction to Fractions Fractions represent parts of a whole. The top part of a fraction is called the numerator, while the bottom part of a fraction is called the denominator. The denominator states
More 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 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 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 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 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 Workshop for Parents 2. Fractions and Algebra
Maths Workshop for Parents 2 Fractions and Algebra What is a fraction? A fraction is a part of a whole. There are two numbers to every fraction: 2 7 Numerator Denominator 2 7 This is a proper (or common)
More 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 informationPreAlgebra Class 3  Fractions I
PreAlgebra Class 3  Fractions I Contents 1 What is a fraction? 1 1.1 Fractions as division............................... 2 2 Representations of fractions 3 2.1 Improper fractions................................
More informationARITHMETIC. Overview. Testing Tips
ARITHMETIC Overview The Arithmetic section of ACCUPLACER contains 17 multiple choice questions that measure your ability to complete basic arithmetic operations and to solve problems that test fundamental
More informationUsing a Scientific Calculator
1 Using a Scientific Calculator In this course, we will be using a scientific calculator to do all of our computations. So, in this section, we want to get use to some of the features of a scientific calculator.
More informationFractions, Ratios, and Proportions Work Sheets. Contents
Fractions, Ratios, and Proportions Work Sheets The work sheets are grouped according to math skill. Each skill is then arranged in a sequence of work sheets that build from simple to complex. Choose the
More 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 informationDifferent types of fraction
N/E. Different types of fraction There are different types of fraction. Two types are unit fractions and nonunit fractions. Unit fractions Unit means one. Here are some examples of unit fractions: Can
More informationFRACTIONS COMMON MISTAKES
FRACTIONS COMMON MISTAKES 0/0/009 Fractions Changing Fractions to Decimals How to Change Fractions to Decimals To change fractions to decimals, you need to divide the numerator (top number) by the denominator
More informationMake the denominators the same, convert the numerators by multiplying, then add the numerators.
Experience & Outcome: MNU 207a I have investigated the everyday contexts in which simple fractions, percentages or decimal fractions are used and can carry out the necessary calculations to solve related
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 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 informationNumber: Fractions (including Decimals and Percentages) Reasoning
Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 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
More informationNumerical and Algebraic Fractions
Numerical and Algebraic Fractions Aquinas Maths Department Preparation for AS Maths This unit covers numerical and algebraic fractions. In A level, solutions often involve fractions and one of the Core
More 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 informationMaths Module 2. Working with Fractions. This module covers fraction concepts such as:
Maths Module Working with Fractions This module covers fraction concepts such as: identifying different types of fractions converting fractions addition and subtraction of fractions multiplication and
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 informationNumeracy Preparation Guide. for the. VETASSESS Test for Certificate IV in Nursing (Enrolled / Division 2 Nursing) course
Numeracy Preparation Guide for the VETASSESS Test for Certificate IV in Nursing (Enrolled / Division Nursing) course Introduction The Nursing course selection (or entrance) test used by various Registered
More informationNumber boards for mini mental sessions
Number boards for mini mental sessions Feel free to edit the document as you wish and customise boards and questions to suit your learners levels Print and laminate for extra sturdiness. Ideal for working
More informationSummary Of Mental Maths Targets EYFS Yr 6. Year 3. Count from 0 in multiples of 4 & 8, 50 & 100. Count back in 100s, 10s, 1s eg.
Autumn 1 Say the number names in order to 10. Read and write from 1 to 20 in numerals and words. Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward. Count from 0 in
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 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 informationPart 1 Part 2 Part 3 Part 4 Part 5. 440 000 What number is one less than 801 000? 800 999. order of size, smallest to
Questions and Answers for IKAN 1 1 What number is one more than 49? 50 What number is one What number is one more 599? 600 more 439 999? biggest, 0.639, 0.9, 0.84? 2 than 30? 29 one half. 1/2 one fifth.
More information3 cups ¾ ½ ¼ 2 cups ¾ ½ ¼. 1 cup ¾ ½ ¼. 1 cup. 1 cup ¾ ½ ¼ ¾ ½ ¼. 1 cup. 1 cup ¾ ½ ¼ ¾ ½ ¼
cups cups cup Fractions are a form of division. When I ask what is / I am asking How big will each part be if I break into equal parts? The answer is. This a fraction. A fraction is part of a whole. The
More informationLearning new things and building basic skills
Math Review TABE Answer Key 2 Learning new things and building basic skills may be challenging for you, but they also can be very exciting. When you follow the guidelines for learning basic skills, you
More informationnorth seattle community college
INTRODUCTION TO FRACTIONS If we divide a whole number into equal parts we get a fraction: For example, this circle is divided into quarters. Three quarters, or, of the circle is shaded. DEFINITIONS: The
More informationAdding and Subtracting Fractions. 1. The denominator of a fraction names the fraction. It tells you how many equal parts something is divided into.
Tallahassee Community College Adding and Subtracting Fractions Important Ideas:. The denominator of a fraction names the fraction. It tells you how many equal parts something is divided into.. The numerator
More 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 informationMath Circle Beginners Group October 18, 2015
Math Circle Beginners Group October 18, 2015 Warmup problem 1. Let n be a (positive) integer. Prove that if n 2 is odd, then n is also odd. (Hint: Use a proof by contradiction.) Suppose that n 2 is odd
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 informationIrrational Numbers. A. Rational Numbers 1. Before we discuss irrational numbers, it would probably be a good idea to define rational numbers.
Irrational Numbers A. Rational Numbers 1. Before we discuss irrational numbers, it would probably be a good idea to define rational numbers. Definition: Rational Number A rational number is a number that
More informationHFCC Math Lab Arithmetic  4. Addition, Subtraction, Multiplication and Division of Mixed Numbers
HFCC Math Lab Arithmetic  Addition, Subtraction, Multiplication and Division of Mixed Numbers Part I: Addition and Subtraction of Mixed Numbers There are two ways of adding and subtracting mixed numbers.
More 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 informationRatio and Proportion Study Guide 12
Ratio and Proportion Study Guide 12 Ratio: A ratio is a comparison of the relationship between two quantities or categories of things. For example, a ratio might be used to compare the number of girls
More informationSometimes it is easier to leave a number written as an exponent. For example, it is much easier to write
4.0 Exponent Property Review First let s start with a review of what exponents are. Recall that 3 means taking four 3 s and multiplying them together. So we know that 3 3 3 3 381. You might also recall
More 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 informationIntroduction to fractions A fraction is the ratio of two whole numbers, i.e. one whole number divided by another whole number:
Fractions & Percentages Topics Covered: Fractions Simplifying fractions Equivalent fractions Improper fractions & mixed numers Operations with Fractions (addition, sutraction, multiplication, division)
More information2.3 Solving Equations Containing Fractions and Decimals
2. Solving Equations Containing Fractions and Decimals Objectives In this section, you will learn to: To successfully complete this section, you need to understand: Solve equations containing fractions
More informationIntegers, I, is a set of numbers that include positive and negative numbers and zero.
Grade 9 Math Unit 3: Rational Numbers Section 3.1: What is a Rational Number? Integers, I, is a set of numbers that include positive and negative numbers and zero. Imagine a number line These numbers are
More informationConverting from Decimals to Fractions
4. Converting from Decimals to Fractions 4. OBJECTIVES 1. Convert a decimal to a common fraction Using what we have learned about place values, you can easily write decimals as common fractions. The following
More informationOral and Mental calculation
Oral and Mental calculation Read and write any integer and know what each digit represents. Read and write decimal notation for tenths and hundredths and know what each digit represents. Order and compare
More informationFractions and Linear Equations
Fractions and Linear Equations Fraction Operations While you can perform operations on fractions using the calculator, for this worksheet you must perform the operations by hand. You must show all steps
More 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 informationBasic Math Refresher A tutorial and assessment of basic math skills for students in PUBP704.
Basic Math Refresher A tutorial and assessment of basic math skills for students in PUBP704. The purpose of this Basic Math Refresher is to review basic math concepts so that students enrolled in PUBP704:
More informationMathematics Practice for Nursing and Midwifery Ratio Percentage. 3:2 means that for every 3 items of the first type we have 2 items of the second.
Study Advice Service Student Support Services Author: Lynn Ireland, revised by Dave Longstaff Mathematics Practice for Nursing and Midwifery Ratio Percentage Ratio Ratio describes the relationship between
More informationMaths Level Targets. This booklet outlines the maths targets for each sublevel in maths from Level 1 to Level 5.
Maths Level Targets This booklet outlines the maths targets for each sublevel in maths from Level 1 to Level 5. Expected National Curriculum levels for the end of each year group are: Year 1 Year 2 Year
More informationPlace Value and Rounding
4.1 Place Value and Rounding 4.1 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 the size of several decimals
More informationEstimating Products (pages 256 258)
A Estimating Products (pages 8) You can use compatible numbers to estimate products when multiplying fractions. Compatible numbers are easy to divide mentally. A Estimate. means of.? For, the nearest multiple
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 L34) is a summary BLM for the material
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 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 informationIntroduction to Fractions, Equivalent and Simplifying (12 days)
Introduction to Fractions, Equivalent and Simplifying (12 days) 1. Fraction 2. Numerator 3. Denominator 4. Equivalent 5. Simplest form Real World Examples: 1. Fractions in general, why and where we use
More 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 informationVariable. 1.1 Order of Operations. August 17, evaluating expressions ink.notebook. Standards. letter or symbol used to represent a number
1.1 evaluating expressions ink.notebook page 8 Unit 1 Basic Equations and Inequalities 1.1 Order of Operations page 9 Square Cube Variable Variable Expression Exponent page 10 page 11 1 Lesson Objectives
More informationSequences. A sequence is a list of numbers, or a pattern, which obeys a rule.
Sequences A sequence is a list of numbers, or a pattern, which obeys a rule. Each number in a sequence is called a term. ie the fourth term of the sequence 2, 4, 6, 8, 10, 12... is 8, because it is the
More informationCOMPASS Numerical Skills/PreAlgebra Preparation Guide. Introduction Operations with Integers Absolute Value of Numbers 13
COMPASS Numerical Skills/PreAlgebra Preparation Guide Please note that the guide is for reference only and that it does not represent an exact match with the assessment content. The Assessment Centre
More informationTHE BINARY NUMBER SYSTEM
THE BINARY NUMBER SYSTEM Dr. Robert P. Webber, Longwood University Our civilization uses the base 10 or decimal place value system. Each digit in a number represents a power of 10. For example, 365.42
More informationSimplification Problems to Prepare for Calculus
Simplification Problems to Prepare for Calculus In calculus, you will encounter some long epressions that will require strong factoring skills. This section is designed to help you develop those skills.
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 informationClick on the links below to jump directly to the relevant section
Click on the links below to jump directly to the relevant section Basic review Writing fractions in simplest form Comparing fractions Converting between Improper fractions and whole/mixed numbers Operations
More informationRational Exponents. Squaring both sides of the equation yields. and to be consistent, we must have
8.6 Rational Exponents 8.6 OBJECTIVES 1. Define rational exponents 2. Simplify expressions containing rational exponents 3. Use a calculator to estimate the value of an expression containing rational exponents
More informationHave fun & we ll see you July 29th!
Student Information Page We re so proud of you for taking the time to work on math over the summer! This packet is intended for students who just finished fifth grade and will be entering middle school
More informationSquare Roots and Other Radicals
Radicals  Definition Radicals, or roots, are the opposite operation of applying exponents. A power can be undone with a radical and a radical can be undone with a power. For example, if you square 2,
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 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 informationExponents, Factors, and Fractions. Chapter 3
Exponents, Factors, and Fractions Chapter 3 Exponents and Order of Operations Lesson 31 Terms An exponent tells you how many times a number is used as a factor A base is the number that is multiplied
More informationProperty: Rule: Example:
Math 1 Unit 2, Lesson 4: Properties of Exponents Property: Rule: Example: Zero as an Exponent: a 0 = 1, this says that anything raised to the zero power is 1. Negative Exponent: Multiplying Powers with
More informationIntroduction to the TI84/83 Graphing Calculator
Introduction to the TI84/83 Graphing Calculator Part 1: Basic Arithmetic Operations & Features 1. Turning the calculator ON & OFF, adjusting the contrast, and clearing the memory The ON key is located
More informationAdding Fractions. Adapted from MathisFun.com
Adding Fractions Adapted from MathisFun.com There are 3 Simple Steps to add fractions: Step 1: Make sure the bottom numbers (the denominators) are the same Step 2: Add the top numbers (the numerators).
More informationCalculation Policy Fractions
Calculation Policy Fractions This policy is to be used in conjunction with the calculation policy to enable children to become fluent in fractions and ready to calculate them by Year 5. It has been devised
More informationSimplifying Algebraic Fractions
5. Simplifying Algebraic Fractions 5. OBJECTIVES. Find the GCF for two monomials and simplify a fraction 2. Find the GCF for two polynomials and simplify a fraction Much of our work with algebraic fractions
More informationWheels Diameter / Distance Traveled
Mechanics Teacher Note to the teacher On these pages, students will learn about the relationships between wheel radius, diameter, circumference, revolutions and distance. Students will use formulas relating
More informationSIMPLIFYING SQUARE ROOTS
40 (88) Chapter 8 Powers and Roots 8. SIMPLIFYING SQUARE ROOTS In this section Using the Product Rule Rationalizing the Denominator Simplified Form of a Square Root In Section 8. you learned to simplify
More informationBalancing Chemical Equations
Balancing Chemical Equations A mathematical equation is simply a sentence that states that two expressions are equal. One or both of the expressions will contain a variable whose value must be determined
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 informationMULTIPLICATION AND DIVISION OF REAL NUMBERS In this section we will complete the study of the four basic operations with real numbers.
1.4 Multiplication and (125) 25 In this section Multiplication of Real Numbers Division by Zero helpful hint The product of two numbers with like signs is positive, but the product of three numbers with
More 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 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 information47 Numerator Denominator
JH WEEKLIES ISSUE #22 20122013 Mathematics Fractions Mathematicians often have to deal with numbers that are not whole numbers (1, 2, 3 etc.). The preferred way to represent these partial numbers (rational
More informationSession 21 Fraction Addition and Subtraction and Mixed Number Notation
Session Fraction Addition and Subtraction and Mixed Number Notation Solve and compare the following two problems. Kim made one out of three free throws in a game and one out of four free throws in the
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 informationNegative Exponents and Scientific Notation
3.2 Negative Exponents and Scientific Notation 3.2 OBJECTIVES. Evaluate expressions involving zero or a negative exponent 2. Simplify expressions involving zero or a negative exponent 3. Write a decimal
More informationHOW TO COMPARE FRACTIONS
HOW TO COMPARE FRACTIONS Introducing: common denominator least common denominator like fractions unlike fractions. Compare Fractions 1 The fractions 3 / 4 and 2 / 4 have the same denominator. Fractions
More informationMEP Y9 Practice Book A
1 Base Arithmetic 1.1 Binary Numbers We normally work with numbers in base 10. In this section we consider numbers in base 2, often called binary numbers. In base 10 we use the digits 0, 1, 2, 3, 4, 5,
More informationCalculator Worksheetpage 1
Calculator Worksheetpage 1 Name On this worksheet, I will be referencing keys that are on the TI30Xa. If you re using a different calculator, similar keys should be there; you just need to fi them! Positive/Negative
More informationMaths Refresher. Working with Fractions
Maths Refresher Working with Fractions Working with fractions Learning intentions. Become familiar with fractions Equivalent fractions Converting mixed numbers to improper fractions Converting improper
More informationKnowing and Using Number Facts
Knowing and Using Number Facts Use knowledge of place value and Use knowledge of place value and addition and subtraction of twodigit multiplication facts to 10 10 to numbers to derive sums and derive
More informationAddition and subtraction
Addition and subtraction numbers using concrete objects, pictorial representations. All number facts 10 are secure by the end of Year 1 in order to progress and consolidate decimal numbers in KS2. From
More informationONE. New. O^ irpfi'rsooi ^'ia./i /^ ^^ ' Date _/_," ' SAULT CULLiU? ubrary \ SAUL^ sre MARIE DOC #351 SAULT COLLEGE OF APPLIED ARTS & TECHNOLOGY
DOC #351 SAULT COLLEGE OF APPLIED ARTS & TECHNOLOGY SAULT STE. MARIE, ONTARIO COURSE OUTLINE Course Title: Code No; Program Semester: Date Author: MATHEMATICS FOR ADMINISTRATION OF MEDICATIONS NUR 109
More informationACCUPLACER MATH TEST REVIEW
ACCUPLACER MATH TEST REVIEW ARITHMETIC ELEMENTARY ALGEBRA COLLEGE ALGEBRA The following pages are a comprehensive tool used to maneuver the ACCUPLACER UAS Math portion. This tests your mathematical capabilities
More information1.4. Arithmetic of Algebraic Fractions. Introduction. Prerequisites. Learning Outcomes
Arithmetic of Algebraic Fractions 1.4 Introduction Just as one whole number divided by another is called a numerical fraction, so one algebraic expression divided by another is known as an algebraic fraction.
More information