Numerator Denominator

Size: px
Start display at page:

Download "Numerator Denominator"

Transcription

1 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 etc

2 Equivalent Fractions Any fraction can be written in different ways as long as you multiply or divide the numerator and denominator by the same thing at the same time then the fractions are equivalent The most common way to calculate equivalent fractions is to simplify When simplifying fractions you need to always ask yourself 'what number can I divide into both the numerator and denominator without a remainder?' e.g simplify the following fraction to its simplest form: 16 = Both 16 and 20 are in the 4 times tables so divide them both by 4 at the same time to simplify 2

3 Sometimes you can simplify a fraction in one step or you can simplify in more than one step e.g Simplify 28 to its simplest form = 14 =

4 To begin with you need to have a grasp of what basic fractions look like. One way to think of a fraction is to think of them as 'out of' e.g 1 can mean '1 out of 4' 4 or 5 can mean '5 out of 8' 8 Using this we can find a fraction of a group of objects e.g circle 1 of the stars below this means '1 out of 3' 3 so we circle every 1 in 3 stars. 4

5 You then move on from showing fractions of numbers of objects to splitting a shape into a fraction You need to remember that when you have a fraction you divide by the denominator e.g show what 1 of the following shape looks like 5 To find 1 you split the 5 shape into 5 equal sized parts You then shade 1 of them in. 5

6 The next step is to shade in a fraction of a shape where the numerator is not 1 the simplest way of doing this is by splitting the shape according to its denominator and then shading in according to the numerator e.g shade in 5 of the following shape 6 First as the denominator of the fraction is 6 you split the shape into 6 equal sized parts Next as the numerator is 5 you shade in 5 of the parts 6

7 Fractions of amounts When finding a fraction of any amount we use the following method: divide the amount by the denominator (bottom number) FIRST then multiply your answer by the numerator (top number). e.g1 calculate the following: 4 of 84 7 Step 1: DIVIDE the amount by the denominator 84 7 = 12 Step 2: MULTIPLY your answer by the numerator 12 x 4 = 48 so the answer is 48 7

8 e.g2 calculate the following which involves a decimal answer: 3 of 62KG 5 Divide: 62 5 =? we need to use short division for this! remember: 62.0 is the same as 62. You can carry remainders over until you get the answer. Just dont forget to put the decimal point into your answer! Multiply: 12.4 x 3 = 37.2 (use geolosia for this) so the answer = 37.2KG 8

9 Sometimes when you have to shade in a fraction of a shape it is not always easy to split it into pieces visually so we need to use a mathematical method. This uses the same method as fractions of amounts e.g Shade in 5 of the rectangle below 6 This rectangle is made up of 48 equal sized squares So we need to calculate 5 of of 48 6 Divide first: 48 6 = 8 then Multiply: 8 x 5 = 40 So, we need to shade in 40 squares!! 9

10 Ordering fractions remember: numerator denominator e.g1 order the following fractions smallest to largest Simply order the fractions according to the numerators The above example was fairly easy as all the denominators were the same (we call this common denominators) When we order fractions that have different denominators we need to make them all the same to be able to order our fractions. We need to find a Common denominator A common denominator is a number into which all the denominators will divide into without remainder. 10

11 e.g2 order the following fractions smallest to largest We need to find a common denominator that all 4 of the denominators will divide into!! To do this we look at the largest denominator and write out its times tables 20, 40, 60, 80, , 12, 20 and 5 can all be divided into 60 We now need to change all of the above fractions to ones with a common denominator. remember: what you do to the denominator you must also do to the numerator. x the fractions become 4 x5 x3 x x15 x x x12 So now that all the denominators are equal, it is easier to order the original fractions Answer =

12 Adding and subtracting Fractions At its most basic, adding and subtracting fractions involves adding or subtracting fractions that have the same denominators e.g Calculate: = = 3 10 You simply add or subtract the numerators leave the denominators alone!! After this you need to be able to add or subtract fractions that have different denominators. 12

13 Adding and subtracting fractions with different denominators When adding or subtracting fractions you need to make sure your fractions have common denominators (look at ordering fractions for a reminder) e.g1 calculate the following: We first need to find a common denominator. 7 8 We do this by multiplying the two denominators together. 7 x 8 = 56 so our 'new' denominator is 56 Now we need to change each fraction to its equivalent fraction with our new denominator x8 2 = x8 x7 3 = x7 Remember: what you do to the denominator of each fraction, you must also do to the numerator! This gives us so the answer = remember: you only add or subtract the numerators (top numbers), the denominator in the answer is the same as the common denominator When subtracting fractions you follow the same method and at the end you subtract the numerators instead. 13

14 Multiplying Fractions When multiplying fractions we use the following method: e.g calculate 5 x We simply multiply the numerators together, then you multiply the denominators together so 5 x 3 = 5 x 3 = x 4 24 We can simplify this 15 =

15 Dividing fractions When dividing fractions we use the following method: e.g calculate We invert (flip round) the fraction we are dividing by and change the calculation into a multiplication this gives us 6 x 9 = We can simplify this to

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

Introduction to Fractions

Introduction 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 information

Fractions. If the top and bottom numbers of a fraction are the same then you have a whole one.

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 information

Self-Directed Course: Transitional Math Module 2: Fractions

Self-Directed Course: Transitional Math Module 2: Fractions Lesson #1: Comparing Fractions Comparing fractions means finding out which fraction is larger or smaller than the other. To compare fractions, use the following inequality and equal signs: - greater than

More information

Fractions. Cavendish Community Primary School

Fractions. 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 information

FRACTIONS COMMON MISTAKES

FRACTIONS 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 information

Round decimals to the nearest whole number

Round decimals to the nearest whole number Round decimals to the nearest whole number Learning Objective Simplifying Fractions Simplified Fractions To simplify a fraction, we find an equivalent fraction which uses the smallest numbers possible.

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

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 and Fraction Review Sheet

Decimal 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 information

Multiplying a Fraction by a Whole Number

Multiplying a Fraction by a Whole Number Key Concepts Multiplying Fractions Objective Teach students to multiply fractions. Lesson - Note to the Teacher Multiplying fractions is a little more difficult conceptually than adding fractions, but

More information

Coordinates (1) Fill in the gaps. REMEMBER- you crawl before you climb (think of snakes and ladders) (0, 5) (11½, 4½) (0, 0) (8½, 5½)

Coordinates (1) Fill in the gaps. REMEMBER- you crawl before you climb (think of snakes and ladders) (0, 5) (11½, 4½) (0, 0) (8½, 5½) Coordinates () Fill in the gaps REMEMBER you crawl before you climb (think of snakes and ladders) (, 6) (5, 9) (5, ½) (7, 8) (, 0) (0, 7) (, 6) (, ½) (0, 5) (½, ½) (8, ) (0, 0) (8½, 5½) (6, ) (½, 7) Supplied

More information

Session 22 Fraction Multiplication. Pat used three-fourths of a bag of flour that was two-thirds full. How much of a full bag of flour did Pat use.

Session 22 Fraction Multiplication. Pat used three-fourths of a bag of flour that was two-thirds full. How much of a full bag of flour did Pat use. Session 22 Fraction Multiplication Solve the following problem. Pat used three-fourths of a bag of flour that was two-thirds full. How much of a full bag of flour did Pat use. Here, we solve this problem

More information

FRACTION REVIEW. 3 and. Any fraction can be changed into an equivalent fraction by multiplying both the numerator and denominator by the same number

FRACTION REVIEW. 3 and. Any fraction can be changed into an equivalent fraction by multiplying both the numerator and denominator by the same number FRACTION REVIEW A. INTRODUCTION. What is a fraction? A fraction consists of a numerator (part) on top of a denominator (total) separated by a horizontal line. For example, the fraction of the circle which

More information

north seattle community college

north 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 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

Multiplying and Dividing Fractions

Multiplying and Dividing Fractions Multiplying and Dividing Fractions 1 Overview Fractions and Mixed Numbers Factors and Prime Factorization Simplest Form of a Fraction Multiplying Fractions and Mixed Numbers Dividing Fractions and Mixed

More information

made up of 2 parts, a Saying a 3 To say or write a 7 - seven eighths 8

made up of 2 parts, a Saying a 3 To say or write a 7 - seven eighths 8 Day 1 Fractions Obj: To learn how to write fractions, define,and classify fractions Def Fraction Numerator Denominator Fraction part of a whole; made up of 2 parts, a numerator and denominator. The denominator

More information

Maths Module 2. Working with Fractions. This module covers fraction concepts such as:

Maths 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 information

Click on the links below to jump directly to the relevant section

Click 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 information

Numerical and Algebraic Fractions

Numerical 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 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 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

Different types of fraction

Different types of fraction N/E. Different types of fraction There are different types of fraction. Two types are unit fractions and non-unit fractions. Unit fractions Unit means one. Here are some examples of unit fractions: Can

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

Adding Fractions. Adapted from MathisFun.com

Adding 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 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

eday Lessons Mathematics Grade 8 Student Name:

eday 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 information

3 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

3 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 information

Make the denominators the same, convert the numerators by multiplying, then add the numerators.

Make the denominators the same, convert the numerators by multiplying, then add the numerators. Experience & Outcome: MNU 2-07a 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 information

Session 21 Fraction Addition and Subtraction and Mixed Number Notation

Session 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 information

Numeracy 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 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 information

Key. Introduction. What is a Fraction. Better Math Numeracy Basics Fractions. On screen content. Narration voice-over

Key. Introduction. What is a Fraction. Better Math Numeracy Basics Fractions. On screen content. Narration voice-over Key On screen content Narration voice-over Activity Under the Activities heading of the online program Introduction This topic will cover how to: identify and distinguish between proper fractions, improper

More information

RATIONAL NUMBERS CHAPTER

RATIONAL NUMBERS CHAPTER RATIONAL NUMBERS CHAPTER 70 CHAPTER RATIONAL NUMBERS Section. Recognizing, Reading, Writing and Simplifying Fractions What is a fraction? You have a circle. Cut it into two equal parts. Each part is called

More information

INTRODUCTION TO FRACTIONS

INTRODUCTION TO FRACTIONS Tallahassee Community College 16 INTRODUCTION TO FRACTIONS Figure A (Use for 1 5) 1. How many parts are there in this circle?. How many parts of the circle are shaded?. What fractional part of the circle

More information

2.5 Adding and Subtracting Fractions and Mixed Numbers with Like Denominators

2.5 Adding and Subtracting Fractions and Mixed Numbers with Like Denominators 2.5 Adding and Subtracting Fractions and Mixed Numbers with Like Denominators Learning Objective(s) Add fractions with like denominators. 2 Subtract fractions with like denominators. Add mixed numbers

More information

Chapter 4 Fractions and Mixed Numbers

Chapter 4 Fractions and Mixed Numbers Chapter 4 Fractions and Mixed Numbers 4.1 Introduction to Fractions and Mixed Numbers Parts of a Fraction Whole numbers are used to count whole things. To refer to a part of a whole, fractions are used.

More information

Basic 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. 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 information

Multiplying Fractions

Multiplying 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 information

Lesson 3.1 Factors and Multiples of Whole Numbers Exercises (pages 140 141)

Lesson 3.1 Factors and Multiples of Whole Numbers Exercises (pages 140 141) Lesson 3.1 Factors and Multiples of Whole Numbers Exercises (pages 140 141) A 3. Multiply each number by 1, 2, 3, 4, 5, and 6. a) 6 1 = 6 6 2 = 12 6 3 = 18 6 4 = 24 6 5 = 30 6 6 = 36 So, the first 6 multiples

More information

FRACTION WORKSHOP. Example: Equivalent Fractions fractions that have the same numerical value even if they appear to be different.

FRACTION WORKSHOP. Example: Equivalent Fractions fractions that have the same numerical value even if they appear to be different. FRACTION WORKSHOP Parts of a Fraction: Numerator the top of the fraction. Denominator the bottom of the fraction. In the fraction the numerator is 3 and the denominator is 8. Equivalent Fractions: Equivalent

More 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

Grade 9 Mathematics Unit #1 Number Sense Sub-Unit #1 Rational Numbers. with Integers Divide Integers

Grade 9 Mathematics Unit #1 Number Sense Sub-Unit #1 Rational Numbers. with Integers Divide Integers Page1 Grade 9 Mathematics Unit #1 Number Sense Sub-Unit #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 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

Fractions and Linear Equations

Fractions 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 information

Calculation Policy Fractions

Calculation 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 information

Algebra 1A and 1B Summer Packet

Algebra 1A and 1B Summer Packet Algebra 1A and 1B Summer Packet Name: Calculators are not allowed on the summer math packet. This packet is due the first week of school and will be counted as a grade. You will also be tested over the

More information

A fraction is a noninteger quantity expressed in terms of a numerator and a denominator.

A 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 information

+ = has become. has become. Maths in School. Fraction Calculations in School. by Kate Robinson

+ = 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 information

Simplifying Improper Fractions Poster

Simplifying Improper Fractions Poster Simplifying Improper Fractions Poster Congratulations on your purchase of this Really Good Stuff Simplifying Improper Fractions Poster a reference tool showing students how to change improper fractions

More information

HOW TO ADD AND SUBTRACT MIXED NUMBERS

HOW TO ADD AND SUBTRACT MIXED NUMBERS WHAT'S THAT MEAN...? HOW TO ADD AND SUBTRACT MIXED NUMBERS 8 2/3 1 1/4 5 TWO METHODS THAT WORK!! 1 Method 1: Use Improper Fractions What size parts are the circles cut into? How many yellow parts are on

More information

Number: Fractions (including Decimals and Percentages) COUNTING IN FRACTIONAL STEPS Year 1 Year 2 Year 3 Year 4 Year 5 Year 6

Number: Fractions (including Decimals and Percentages) COUNTING IN FRACTIONAL STEPS Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Pupils should begin to count in halves, using practical resources to support Number: Fractions (including Decimals and Percentages COUNTING IN FRACTIONAL STEPS Pupils should count in count up and down

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

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

Module 2: Working with Fractions and Mixed Numbers. 2.1 Review of Fractions. 1. Understand Fractions on a Number Line

Module 2: Working with Fractions and Mixed Numbers. 2.1 Review of Fractions. 1. Understand Fractions on a Number Line Module : Working with Fractions and Mixed Numbers.1 Review of Fractions 1. Understand Fractions on a Number Line Fractions are used to represent quantities between the whole numbers on a number line. A

More information

FRACTIONS. The student will be able to: Essential Fraction Vocabulary

FRACTIONS. 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 information

Exponents, Radicals, and Scientific Notation

Exponents, Radicals, and Scientific Notation General Exponent Rules: Exponents, Radicals, and Scientific Notation x m x n = x m+n Example 1: x 5 x = x 5+ = x 7 (x m ) n = x mn Example : (x 5 ) = x 5 = x 10 (x m y n ) p = x mp y np Example : (x) =

More information

Chapter 15 Radical Expressions and Equations Notes

Chapter 15 Radical Expressions and Equations Notes Chapter 15 Radical Expressions and Equations Notes 15.1 Introduction to Radical Expressions The symbol is called the square root and is defined as follows: a = c only if c = a Sample Problem: Simplify

More information

LESSON SUMMARY. Manipulation of Real Numbers

LESSON SUMMARY. Manipulation of Real Numbers LESSON SUMMARY CXC CSEC MATHEMATICS UNIT TWO: COMPUTATION Lesson 2 Manipulation of Real Numbers Textbook: Mathematics, A Complete Course by Raymond Toolsie, Volume 1. (Some helpful exercises and page numbers

More information

FRACTIONS 1 MANIPULATING FRACTIONS. the denominator represents the kind of pieces the whole has been divided into

FRACTIONS 1 MANIPULATING FRACTIONS. the denominator represents the kind of pieces the whole has been divided into CONNECT: Fractions FRACTIONS 1 MANIPULATING FRACTIONS Firstly, let s think about what a fraction is. 1. One way to look at a fraction is as part of a whole. Fractions consist of a numerator and a denominator:

More information

Maths for Nurses: Fractions and Decimals

Maths for Nurses: Fractions and Decimals Maths for Nurses: Fractions and Decimals This booklet will provide an overview of the basic numeracy skills for Nursing students. If you have any problems in answering the questions within the booklet

More information

Project 4: Simplifying Expressions with Radicals

Project 4: Simplifying Expressions with Radicals Project 4: Simplifying Expressions with Radicals Defintion A radical, which we symbolize with the sign, is just the opposite of an exponent. In this class, the only radical we will focus on is square roots,

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

Queens Federation Maths Calculation Policy

Queens Federation Maths Calculation Policy Queens Federation Maths Calculation Policy Draft v3b This document describes the progression in methods of calculation taught within the Queens Federation. It has been developed in line with the 2013 National

More information

Adults to use fraction vocabulary of halves, quarters, thirds etc when describing the number of groups).

Adults to use fraction vocabulary of halves, quarters, thirds etc when describing the number of groups). DEVELOPING UNDERSTANDING OF FRACTIONS, DECIMALS AND PERCENTAGES Year NC Objectives Examples Models and Images EYFS Share objects, shapes and count how many are in each group (early division) Solve problems

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

Indices and Surds. The Laws on Indices. 1. Multiplication: Mgr. ubomíra Tomková

Indices and Surds. The Laws on Indices. 1. Multiplication: Mgr. ubomíra Tomková Indices and Surds The term indices refers to the power to which a number is raised. Thus x is a number with an index of. People prefer the phrase "x to the power of ". Term surds is not often used, instead

More information

Complete the daily exercises to focus on improving this skill. Day 2

Complete the daily exercises to focus on improving this skill. Day 2 Day 1 1 Write 36/63 in its simplest form 2 Write 2/4 in its simplest form 3 Simplify 28/42 4 Write 30/42 in its simplest form 5 Simplify 12/18 6 Write 7/14 in its simplest form 7 Write 21/63 in its simplest

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

Sometimes it is easier to leave a number written as an exponent. For example, it is much easier to write

Sometimes 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 information

Number: Multiplication and Division

Number: Multiplication and Division MULTIPLICATION & DIVISION FACTS count in steps of 2, 3, and 5 count from 0 in multiples of 4, 8, 50 count in multiples of 6, count forwards or backwards from 0, and in tens from any and 100 7, 9, 25 and

More information

Mathematics. Steps to Success. and. Top Tips. Year 5

Mathematics. Steps to Success. and. Top Tips. Year 5 Pownall Green Primary School Mathematics and Year 5 1 Contents Page 1. Multiplication and Division 3 2. Positive and Negative Numbers 4 3. Decimal Notation 4. Reading Decimals 5 5. Fractions Linked to

More information

y x x 2 Squares, square roots, cubes and cube roots TOPIC 2 4 x 2 2ndF 2ndF Oral activity Discuss squares, square roots, cubes and cube roots

y x x 2 Squares, square roots, cubes and cube roots TOPIC 2 4 x 2 2ndF 2ndF Oral activity Discuss squares, square roots, cubes and cube roots TOPIC Squares, square roots, cubes and cube roots By the end of this topic, you should be able to: ü Find squares, square roots, cubes and cube roots of positive whole numbers, decimals and common fractions

More information

When multiplying whole numbers we are counting a repeated set of items. Exercise 1: How many pizza boxes are there?

When multiplying whole numbers we are counting a repeated set of items. Exercise 1: How many pizza boxes are there? When multiplying whole numbers we are counting a repeated set of items. Exercise 1: How many pizza boxes are there? 1 2 3 1 2 3 4 There are 3 rows and 4 columns of boxes. Thus, we have 3 x 4 = 12 pizza

More information

Multiplying Decimal Numbers by 10, by 100, and by 1000

Multiplying 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 information

Introduction to Fractions, Equivalent and Simplifying (1-2 days)

Introduction to Fractions, Equivalent and Simplifying (1-2 days) Introduction to Fractions, Equivalent and Simplifying (1-2 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 information

Mathematics Higher Tier, Algebraic Fractions

Mathematics Higher Tier, Algebraic Fractions These solutions are for your personal use only. DO NOT photocopy or pass on to third parties. If you are a school or an organisation and would like to purchase these solutions please contact Chatterton

More information

Simplifying Algebraic Fractions

Simplifying 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 information

Percentages. It is quite straightforward to convert a percent into a fraction or decimal (and vice versa) using the following rules:

Percentages. It is quite straightforward to convert a percent into a fraction or decimal (and vice versa) using the following rules: What do percentages mean? Percentages Academic Skills Advice Percent (%) means per hundred. e.g. 22% means 22 per 00, and can also be written as a fraction ( 22 00 ) or a decimal (0.22) It is quite straightforward

More information

Solution: There are TWO square roots of 196, a positive number and a negative number. So, since and 14 2

Solution: There are TWO square roots of 196, a positive number and a negative number. So, since and 14 2 5.7 Introduction to Square Roots The Square of a Number The number x is called the square of the number x. EX) 9 9 9 81, the number 81 is the square of the number 9. 4 4 4 16, the number 16 is the square

More information

7 Write down (a) the square of 4 (b) 3³ (the cube of 3) (c) all of the square numbers between 10 and 30

7 Write down (a) the square of 4 (b) 3³ (the cube of 3) (c) all of the square numbers between 10 and 30 Number test 1 1 (a) On the number grid, shade all the multiples of 2 and circle all the multiples of 3 4 5 6 7 8 9 14 15 16 17 18 19 24 25 26 27 28 29 34 35 36 37 38 39 (b) Write down two numbers between

More information

Welcome to Basic Math Skills!

Welcome 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 information

Supplemental Worksheet Problems To Accompany: The Pre-Algebra Tutor: Volume 1 Section 8 Powers and Exponents

Supplemental Worksheet Problems To Accompany: The Pre-Algebra Tutor: Volume 1 Section 8 Powers and Exponents Supplemental Worksheet Problems To Accompany: The Pre-Algebra Tutor: Volume 1 Please watch Section 8 of this DVD before working these problems. The DVD is located at: http://www.mathtutordvd.com/products/item66.cfm

More information

3.1. RATIONAL EXPRESSIONS

3.1. RATIONAL EXPRESSIONS 3.1. RATIONAL EXPRESSIONS RATIONAL NUMBERS In previous courses you have learned how to operate (do addition, subtraction, multiplication, and division) on rational numbers (fractions). Rational numbers

More information

MathSphere MATHEMATICS. Equipment. Y6 Fractions 6365 Round decimals. Equivalence between decimals and fractions

MathSphere 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 information

Y4 Mathematics Curriculum Map

Y4 Mathematics Curriculum Map AUTUMN TERM First Half Count on/back in steps 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 tables and the derived division facts Count

More information

Fractions. Chapter 3. 3.1 Understanding fractions

Fractions. Chapter 3. 3.1 Understanding fractions Chapter Fractions This chapter will show you how to find equivalent fractions and write a fraction in its simplest form put fractions in order of size find a fraction of a quantity use improper fractions

More information

I know when I have written a number backwards and can correct it when it is pointed out to me I can arrange numbers in order from 1 to 10

I know when I have written a number backwards and can correct it when it is pointed out to me I can arrange numbers in order from 1 to 10 Mathematics Targets Moving from Level W and working towards level 1c I can count from 1 to 10 I know and write all my numbers to 10 I know when I have written a number backwards and can correct it when

More information

Math 0306 Final Exam Review

Math 0306 Final Exam Review Math 006 Final Exam Review Problem Section Answers Whole Numbers 1. According to the 1990 census, the population of Nebraska is 1,8,8, the population of Nevada is 1,01,8, the population of New Hampshire

More information

If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C?

If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C? Problem 3 If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C? Suggested Questions to ask students about Problem 3 The key to this question

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

1.3 Order of Operations

1.3 Order of Operations 1.3 Order of Operations As it turns out, there are more than just 4 basic operations. There are five. The fifth basic operation is that of repeated multiplication. We call these exponents. There is a bit

More information

GRE MATH REVIEW #2. Fractions

GRE MATH REVIEW #2. Fractions GRE MATH REVIEW #2 Fractions A fraction is just a shorthand way of expressing a division problem. In other words, 5/2 = 5 2. The Numerator is the top number in a fraction and the Denominator is the bottom

More information

Connect Four Math Games

Connect 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 information

Grade 8 Summer Math Packet McGlynn Middle School Medford, MA 02155

Grade 8 Summer Math Packet McGlynn Middle School Medford, MA 02155 Grade 8 Summer Math Packet McGlynn Middle School Medford, MA 0155 If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. -John Louis von Neumann

More information

ADDITION. Children should extend the carrying method to numbers with at least four digits.

ADDITION. Children should extend the carrying method to numbers with at least four digits. Y5 AND Y6 ADDITION Children should extend the carrying method to numbers with at least four digits. 587 3587 + 475 + 675 1062 4262 1 1 1 1 1 Using similar methods, children will: add several numbers with

More information

Remaining Fractions Two-Step Equations

Remaining Fractions Two-Step Equations Remaining Fractions Two-Step Equations Lesson 61 61 Remaining Fractions If a whole has been divided into parts and we know the size of one part, then we can figure out the size of the other parts. What

More information

NAME TEST DATE FRACTION STUDY GUIDE/EXTRA PRACTICE PART 1: PRIME OR COMPOSITE?

NAME TEST DATE FRACTION STUDY GUIDE/EXTRA PRACTICE PART 1: PRIME OR COMPOSITE? NAME TEST DATE FRACTION STUDY GUIDE/EXTRA PRACTICE PART 1: PRIME OR COMPOSITE? A prime number is a number that has exactly 2 factors, one and itself. Examples: 2, 3, 5, 11, 31 2 is the only even number

More information

Number: Multiplication and Division with Reasoning

Number: Multiplication and Division with Reasoning count in multiples of twos, fives and tens (copied from Number and Number: Multiplication and Division with Reasoning MULTIPLICATION & DIVISION FACTS Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 count in

More information

3.3 Addition and Subtraction of Rational Numbers

3.3 Addition and Subtraction of Rational Numbers 3.3 Addition and Subtraction of Rational Numbers In this section we consider addition and subtraction of both fractions and decimals. We start with addition and subtraction of fractions with the same denominator.

More information