LESSON PLANS FOR PERCENTAGES, FRACTIONS, DECIMALS, AND ORDERING Lesson Purpose: The students will be able to:

Size: px
Start display at page:

Download "LESSON PLANS FOR PERCENTAGES, FRACTIONS, DECIMALS, AND ORDERING Lesson Purpose: The students will be able to:"

Transcription

1 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. 4. Change decimals to percents. 5. Change fractions to percents. 6. Change percents to fractions. 7. Find a percent of a given number. 8. Find what percent a given number is of another number. 9. Ordering fractions, decimals and percents. Terms: 1. fraction: a number in the form a/b where b is 0. The numerator is the part of the whole and the denominator is the whole. So, 5/8 means there are 5 parts to the whole of 8. The denominator is also known as the base. 2. percent: a ratio whose denominator is 100; The symbol is %. 3. decimal: a number written using the base-ten place value system where a decimal point separates the ones and the tenths digits. 4. proportion: an equation stating that two statements are equivalent. 1. Change fractions to decimals: Like a fraction, a decimal represents a part of a whole. Whatever is to the right of the decimal point tells what the part, if any, is between the two wholes tells us that there are 3 wholes and 44/100 th parts. To convert a fraction into a decimal, it s numerator denominator. How many places into the decimal one should go, depends on the situation. Remind the students about decimal places: whole tenth 100 th 1000 th 10,000 th 100,000 th 1,000,000 th 10,000,000 th 100,000,000 th Example 1: ¼ = 1 4 or 0.25 In this case, the decimal ends in the 100 th place. Example:2: 1/3 = 1 3 or Here, you have a repeating decimal and it is usually preferable to cut it off after the second 3. (0.33) Example:3: 2/3 = 2 3 or Here, you have a repeating decimal and it is usually preferable to cut it off after the second 6, but since the next digit is also a 6, round up so it s Change decimals to fractions: The entire number will be the numerator, and whatever the place that the last number to the furthest right after the decimal is located will be the Page 1

2 denominator. Reduce if necessary. Example 1: 0.4 = 4/10 because the last number to the right (4) is in the tenth place, 10 will be the denominator. 4/10 can be reduced to 2/5. Example 2: = 43221/ because the last number to the right (1) is in the 100,000 th place, will be the denominator. Example 3: = 2/ because the last number to the right (2) is in the 1,000,000 th (millionth) place, 1, will be the denominator. Example 4: 3.5 = 3 and 5/10 because the last number to the right (5) is in the tenth place, so 10 will be the denominator. However, since there is a whole number to the left of the decimal, that will be represented as a whole number within the fraction., it will be 3 and 5/10 or reduced, 3 ½. If you wish to keep the entire value as a fraction, the same rule applies: the denominator is still 10 since the number furthest to the right after the decimal is in the tenth place. 35/10 or, reduced, 7/2. 3. Change percents to decimals. Move the decimal point two places to the left. You are really dividing it by 100. Example 1: 45% becomes 0.45 Example 2: 45.36% becomes Example 3: % becomes Change decimals to percents: Move the decimal point two places to the left. You are multiplying it by 100. Example 1: 0.63 becomes 63% Example 2: becomes 43.33% Example 3: becomes % 5. Change fractions to percents: The same procedure is used as for changing a fraction to a decimal except there is one further step move the decimal point two places to the right. Example 1: ¼ = 1 4 or 0.25 Move the decimal two places to the right: 25%. Example:2: 1/3 = 1 3 or Move the decimal two places to the right: In this case, since there are trailing 3 s, they can be used as decimals to the point where they are needed. 33.3% or 33.33% (NOTE: In many case, when using percents, it is desirable to cut the decimals off after either the tenth or the hundredth place. Page 2

3 Example 3: 2¼ = 2 plus 1 4 or 0.25 Move the decimal two places to the right: 225%. A whole number represents 100%, so for every whole number, it is multiplied by 100 (%) and added to the percent (200% + 25% = 225%). 6. Change percents to fractions. a) change the percent to a fraction by placing to over 100. b) reduce, if needed Example 1: a) 45% = 45/100 b) 45/100 is reduced to 9/20 Example 2: a) 45.5% = 455/1000 for every number to the right of the decimal point, add a zero to the denominator. In this case, denominator will be b) 455/1000 is reduced to 91/200 Example 3: a) 45.55% = 4555/10000 for every number to the right of the decimal point, add a zero to the denominator. In this case, denominator will be b) 4555/10000 is reduced to 911/2000 Example 4: a) 455% = 455/100 b) 455/100 is reduced to 4 and 91/20 7. Find a percent of a given number: When you need to find a percent of a number, simply convert the percent into a decimal and multiply by the base (80). Example 1:What is 70% of 80: a) Convert the percent into a decimal and multiply by the base (90). 0.7 x 80 = b) Move the decimal two places to the right to convert it back to the number: 0.56 = 56 Example 2:What is 25% of 90: a) Convert the percent into a decimal and multiply by the base (90) x 90 = b) Move the decimal two places to the right to convert it back to the number: = 22.5 Example 3:What is 150% of 600: a) Convert the percent into a decimal and multiply by the base (90) x 600 = 9. b) Move the decimal two places to the right to convert it back to the number: Page 3

4 9 = 900 Note: if there are no numbers as you move the decimal to the right, plug in zeroes for every time you move the decimal place. 8. Find what percent a given number is of another number: In this case, it becomes a fraction. The given number that you need to know what percent it is becomes the part or the numerator and the while the other number becomes the whole (also known as the base becomes the denominator. You then divide denominator into numerator, and your answer will be a decimal. To change a decimal into a percent, move the decimal two places the right. Example 1: 60 is what percent of 80? a) Turn it into a fraction 60/80 b) Turn it into a decimal by dividing the numerator by the denominator: = 0.75 c) Turn it into a percent by moving the decimal two places to the right 0.75 = 75% Example 2: 36 is what percent of 60? a) Turn it into a fraction 36/60 b) Turn it into a decimal by dividing the numerator by the denominator: = 0.6 c) Turn it into a percent by moving the decimal two places to the right 0.6 = 60% Example 3: 150 is what percent of 50? a) Turn it into a fraction 150/50 b) Turn it into a decimal by dividing the numerator by the denominator: = 3 c) Turn it into a percent by moving the decimal two places to the right 3 = 300% 9. Ordering fractions, decimals and percents: When given a group of fractions, decimals and percents to be put in size order, always convert them all to decimals and then list them from greatest to smallest or vice versa as requested. NOTE: It is always a good idea to make sure all the values have the same number of to the right of the decimal so as not to confuse 0.6 with 0.606, etc. So, adjust the shorter values to fit with the longest of the group. Example 1: List the following from greatest to smallest: 45% 4/ a) 45% = (move decimal two places to the right) Note: add a zero to this one so it also has three values to the right of the decimal as the other two. b) 4/9 = (divide 4 by 9) c) (already a decimal) Solution: 1. 45% (0.450) 2. 4/9 (0.444) (0.443) Example 2: List the following from greatest to smallest: 60% 6/ , 80% of 70 a) 60% = (move decimal two places to the right) b) 6/11 = (divide 6 by 11) c) (already a decimal) d) 80% of 70 = x 70 = Page 4

5 Solution: 1. 60% = (0.6000) 2. 80% of 70 = (0.5600) = (0.5570) 4. 6/11 = (0.5454) Example 3: List the following from least to greatest: 28% 4/ , 41% of 70 a) 28% = (move decimal two places to the right) b) 4/11 = (divide 4 by 11) c) (already a decimal) d) 41% of 70 = 0.41 x 70 = Solution: 1. 4/11 = (0.2720) = (0.5710) 3. 28% = (0.2800) 4. 41% of 70 = (0.2870) Lesson/Classroom Activities: The following are problem solving exercises the students can solve, individually, or in groups for you to review with them: 1. Convert the following: a) 5/12 to a decimal b) 1.24 to a fraction c) 5/8 to a percent d) 58% to a fraction e) 60.6% to a decimal f) to a percent Solutions: a) 5/12 = 5 12 = or b) 1.24 to a fraction = 124/100 = 31/25 c) 5/8 to a percent = = 62.5% d) 58% to a fraction = 58/100 = 29/50 e) 60.6% to a decimal = f) to a percent = 100.4% 2. Find the following values (round to the nearest 100 th ): a) 60% of 30 b) 120% of 50 c) 85% of 85 d) 2% of 1200 e) 500% of 50 f) 2/5 of 90 Solutions: a) 60% of 30 = 0.6 x 30 = 0.18 = 18 b) 120% of 50 = 1.20 x 50 = 0.60 = 60 c) 85% of 85 = 0.85 x 85 = = d) 2% of 1200 = 0.02 x 1200 = 0.24 = 24 Page 5

6 e) 500% of 50 = 5 x 50 = 2.5 = 250 f) 2/5 of 90 = 2/5 = 40% = 0.4 x 90 = 0.36 = a) 42 is what percent of 70? b) 150 is what percent of 60? c) 3 is what percent of 150? d) 600 is what percent of 50? Solutions: a) 42 is what percent of 70? = 0.60 = 60% b) 150 is what percent of 60? = 2.5 = 250% c) 3 is what percent of 150? = 0.01 = 1% d) 600 is what percent of 50? = 12 = 1200% 4. List the following from greatest to smallest: 54% 6/ Solution: 1. 6/11 = (0.5454) 2. 0,544 = (0.5440) 3. 54% = (0,5400) 5. List the following from least to greatest: 31% 4/ , 38% of 80 Solution: = (0.3003) of 80% = (0.3040) 3. 31% = (0.3100) 4. 4/12 = (0.3333) Page 6

7 EXAM/WORKSHEET FOR PERCENTAGES, FRACTIONS, DECIMALS, AND ORDERING Name Date Change the following from fraction to decimal (round up to the nearest 100 th ): 1. _8_ 2. _5_ Change the following from decimal to fraction (Reduce & Answer in mixed fraction if necessary): Change the following from percent to decimal: 5. 59% % Change the following from decimal to percent: Change the following from fraction to percents: Change the following from percent to fraction % % Find the following values: % of % of 30 Find the following percents: 15: 72 is what percent of 300? is what percent of 14? Page 7

8 Order the following from greatest to least: 17: 48%, 48, %, 16% of 90, 1, Order the following from least to greatest: 19: 11%, 11, , 130% of 90, 13, 121% Page 8

9 ANSWER KEY FOR PERCENTAGES, FRACTIONS, DECIMALS, AND ORDERING 1. ( ) (3.125) % % % % 11. _ % % 17: 48 = ( ) = = ( ) = %, = ( ) 24% = : = % 0f 90 = % = = = = % = Page 9

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

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

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

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

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

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

Scholastic Fraction Nation

Scholastic Fraction Nation Scholastic correlated to the ematics: Grades 4-8 2010 TM & Scholastic Inc. All rights reserved. SCHOLASTIC,, and associated logos are trademarks and/or registered trademarks of Scholastic Inc. Scholastic

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

Introduce Decimals with an Art Project Criteria Charts, Rubrics, Standards By Susan Ferdman

Introduce Decimals with an Art Project Criteria Charts, Rubrics, Standards By Susan Ferdman Introduce Decimals with an Art Project Criteria Charts, Rubrics, Standards By Susan Ferdman hundredths tenths ones tens Decimal Art An Introduction to Decimals Directions: Part 1: Coloring Have children

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

Grade 7 - Chapter 1 -Recall Prior Knowledge

Grade 7 - Chapter 1 -Recall Prior Knowledge MATH IN FOCUS Grade 7 - Chapter 1 -Recall Prior Knowledge REFRESH YOUR MEMORY! CHAPTER 1 Recall Prior Knowledge In order to be successful with the new information in Chapter 1, it is necessary to remember

More information

Year 4 Non negotiables. Autumn Term

Year 4 Non negotiables. Autumn Term Year 4 Non negotiables Autumn Term Ist Half Term 2nd Half Term Count on/back in steps of 2s, 3s, 4s 5s, 8s, 10s, 6s and 9s (through zero to include negative numbers) Recall the 2, 3, 4, 5, 8 and 10 times

More information

Name: CONVERTING BEWTEEN FRACTIONS, DECIMALS, AND PERCENTS DIRECTED LEARNING ACTIVITY

Name: CONVERTING BEWTEEN FRACTIONS, DECIMALS, AND PERCENTS DIRECTED LEARNING ACTIVITY Name: CONVERTING BEWTEEN FRACTIONS, DECIMALS, AND PERCENTS DIRECTED LEARNING ACTIVITY Objective: Convert between fractions, decimals, and percents. Activity: You will learn how to convert fractions to

More information

=

= 21 Decimals In most everyday applications, one encounters numbers written in decimal notation such as the price of a comodity, the Gross National Product, the diameter of an atom, etc. In this section,

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

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

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

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

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

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

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

Repton Manor Primary School. Maths Targets

Repton Manor Primary School. Maths Targets Repton Manor Primary School Maths Targets Which target is for my child? Every child at Repton Manor Primary School will have a Maths Target, which they will keep in their Maths Book. The teachers work

More information

Number and Operations in Base Ten

Number and Operations in Base Ten Lesson 1 Number and Operations in Base Ten Name Use Base Ten Blocks to model each number as a fraction of 1,000. Write the decimal. Tell the number in each place-value position. 1. 2. tenths hundredths

More information

Five daily lessons. Page 23. Page 25. Page 29. Pages 31

Five 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 information

MEP Y9 Practice Book A

MEP 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 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

*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

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

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

Variable. 1.1 Order of Operations. August 17, evaluating expressions ink.notebook. Standards. letter or symbol used to represent a number

Variable. 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 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

**Unedited Draft** Arithmetic Revisited Lesson 5: Decimal Fractions or Place Value Extended Part 2: Adding and Subtracting Decimals

**Unedited Draft** Arithmetic Revisited Lesson 5: Decimal Fractions or Place Value Extended Part 2: Adding and Subtracting Decimals 1. Adding Decimals **Unedited Draft** Arithmetic Revisited Lesson 5: Decimal Fractions or Place Value Extended Part 2: Adding and Subtracting Decimals Decimal arithmetic is very similar to whole number

More 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

Practice Math Placement Exam

Practice Math Placement Exam Practice Math Placement Exam The following are problems like those on the Mansfield University Math Placement Exam. You must pass this test or take MA 0090 before taking any mathematics courses. 1. What

More information

Summary 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.

Summary 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 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

Simply Math. Everyday Math Skills NWT Literacy Council

Simply Math. Everyday Math Skills NWT Literacy Council Simply Math Everyday Math Skills 2009 NWT Literacy Council Acknowledgement The NWT Literacy Council gratefully acknowledges the financial assistance for this project from the Department of Education, Culture

More information

LESSON 5 - DECIMALS INTRODUCTION

LESSON 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 information

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

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 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 information

Teacher Workbooks. Mathematics Series Fraction to Decimal Conversion, Vol. 1

Teacher Workbooks. Mathematics Series Fraction to Decimal Conversion, Vol. 1 Teacher Workbooks Mathematics Series Fraction to Decimal Conversion, Vol. 1 Copyright 2004 Teachnology Publishing Company A Division of Teachnology, Inc. For additional information, visit us at www.teachnologypublishing.com

More information

7.2 Translating and Solving Percent Problems

7.2 Translating and Solving Percent Problems 7.2 ranslating and Solving Percent Problems In this section we will study how to solve percent problems. Percent problems usually have a phrase in the question in one of the following forms: Percent of

More information

Place Value and Rounding

Place 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 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

BASIC MATH CALCULATIONS

BASIC MATH CALCULATIONS BASIC MATH CALCULATIONS It is highly suggested you complete this packet to assist you in being successful with the basic math competency test. You will be allowed to use a BASIC calculator for all math

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

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

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

**Unedited Draft** Arithmetic Revisited Lesson 5: Decimal Fractions or Place Value Extended Part 3: Multiplying Decimals

**Unedited Draft** Arithmetic Revisited Lesson 5: Decimal Fractions or Place Value Extended Part 3: Multiplying Decimals 1. Multiplying Decimals **Unedited Draft** Arithmetic Revisited Lesson 5: Decimal Fractions or Place Value Extended Part 3: Multiplying Decimals Multiplying two (or more) decimals is very similar to how

More information

Roman Numeral Table. Basic Calculations Review

Roman Numeral Table. Basic Calculations Review Basic Calculations Review I. Okay. It has been a long time since we have had to even THINK about Roman numerals vs. Arabic numerals, right? So just to refresh, a Roman numeral looks like this XVI but an

More information

Unit 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. Unit 1 Number Sense In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions. BLM Three Types of Percent Problems (p L-34) is a summary BLM for the material

More information

0500 Test 5 Optional Percent Handout (If you are skipping Sections 6.2, 6.3, 6.4, and 6.5 in the text, be sure to thoroughly read this handout.

0500 Test 5 Optional Percent Handout (If you are skipping Sections 6.2, 6.3, 6.4, and 6.5 in the text, be sure to thoroughly read this handout. 000 Test Optional Percent Handout (If you are skipping Sections.,.,., and. in the text, be sure to thoroughly read this handout.) Part I Section. Renaming Percents, Fractions, and Decimals Objective Write

More information

THE BINARY NUMBER SYSTEM

THE 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 information

Training Manual. Pre-Employment Math. Version 1.1

Training Manual. Pre-Employment Math. Version 1.1 Training Manual Pre-Employment Math Version 1.1 Created April 2012 1 Table of Contents Item # Training Topic Page # 1. Operations with Whole Numbers... 3 2. Operations with Decimal Numbers... 4 3. Operations

More information

2-7. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

2-7. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Warm Up Write each mixed number as an improper fraction. 1. 1 3. 1 3 4 6 7 4 11 6 2. 2 7 8 23 8 4. 8 1 12 97 12 2-11 2-7 I will Learn to compare

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

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

Student Profile Name: Emergent to One to One Counting Date achieved

Student Profile Name: Emergent to One to One Counting Date achieved mergent to One to One Counting ledge Read The numerals 1 to 10 1 2 3 4 5 6 7 8 9 10 The numbers 1 to 10 forwards: 1 2 3 4 5 6 7 8 9 10 The numbers 10 to 1 backwards: 10 9 8 7 6 5 4 3 2 1 A Count The number

More information

TYPES OF NUMBERS. Example 2. Example 1. Problems. Answers

TYPES OF NUMBERS. Example 2. Example 1. Problems. Answers TYPES OF NUMBERS When two or more integers are multiplied together, each number is a factor of the product. Nonnegative integers that have exactly two factors, namely, one and itself, are called prime

More information

5 Decimal numbers. 1 Decimal numbers. 2 How to read decimal numbers.

5 Decimal numbers. 1 Decimal numbers. 2 How to read decimal numbers. 5 Decimal numbers 1 Decimal numbers Decimal numbers such as 3.762 are used in situations in which we look for more precision than whole numbers provide. As with whole numbers, a digit in a decimal number

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

Teaching Pre-Algebra in PowerPoint

Teaching Pre-Algebra in PowerPoint Key Vocabulary: Numerator, Denominator, Ratio Title Key Skills: Convert Fractions to Decimals Long Division Convert Decimals to Percents Rounding Percents Slide #1: Start the lesson in Presentation Mode

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

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

Example: 10 is 50% of 20. amount % base. = times. Amount = % Base

Example: 10 is 50% of 20. amount % base. = times. Amount = % Base 7.2 Solving Percent Problems Example: 10 is 50% of 20 times Amount % Base ** Note: Must change % to decimal before multiplying. Drop the % sign and move the decimal point two places to the LEFT. If there

More information

Year Five Maths Notes

Year Five Maths Notes Year Five Maths Notes NUMBER AND PLACE VALUE I can count forwards in steps of powers of 10 for any given number up to 1,000,000. I can count backwards insteps of powers of 10 for any given number up to

More information

Exponents. Exponents tell us how many times to multiply a base number by itself.

Exponents. Exponents tell us how many times to multiply a base number by itself. Exponents Exponents tell us how many times to multiply a base number by itself. Exponential form: 5 4 exponent base number Expanded form: 5 5 5 5 25 5 5 125 5 625 To use a calculator: put in the base number,

More 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

Standards-Based Progress Mathematics. Progress in Mathematics

Standards-Based Progress Mathematics. Progress in Mathematics SADLIER Standards-Based Progress Mathematics Aligned to SADLIER Progress in Mathematics Grade 5 Contents Chapter 1 Place Value, Addition, and Subtraction......... 2 Chapter 2 Multiplication....................................

More information

Consolidation of Grade 6 EQAO Questions Number Sense and Numeration

Consolidation of Grade 6 EQAO Questions Number Sense and Numeration Consolidation of Grade 6 EQAO Questions Number Sense and Numeration Compiled by Devika William-Yu (SE2 Math Coach) Overall Expectations NV1 Read, represent, compare, and order whole numbers to 1 000 000,

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

Fractions, Ratios, and Proportions Work Sheets. Contents

Fractions, 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 information

Free Pre-Algebra Lesson 55! page 1

Free Pre-Algebra Lesson 55! page 1 Free Pre-Algebra Lesson 55! page 1 Lesson 55 Perimeter Problems with Related Variables Take your skill at word problems to a new level in this section. All the problems are the same type, so that you can

More information

Swavesey Primary School Calculation Policy. Addition and Subtraction

Swavesey Primary School Calculation Policy. Addition and Subtraction Addition and Subtraction Key Objectives KS1 Foundation Stage Say and use number names in order in familiar contexts Know that a number identifies how many objects in a set Count reliably up to 10 everyday

More information

EXPONENTS. To the applicant: KEY WORDS AND CONVERTING WORDS TO EQUATIONS

EXPONENTS. To the applicant: KEY WORDS AND CONVERTING WORDS TO EQUATIONS To the applicant: The following information will help you review math that is included in the Paraprofessional written examination for the Conejo Valley Unified School District. The Education Code requires

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

Like fractions, percents are a way to represent parts of one whole. However, in percents one whole is always considered to be 100%.

Like fractions, percents are a way to represent parts of one whole. However, in percents one whole is always considered to be 100%. Percentages Percent means per hundred. Like fractions, percents are a way to represent parts of one whole. However, in percents one whole is always considered to be 100%. Percentages can be converted to

More information

Math 208: Test 1 Spring Date:

Math 208: Test 1 Spring Date: Math 28: Test 1 Spring 28 Name: Date: INSTRUCTIONS: Point values are listed by each question for a total of points possible. Be sure to include concise explanations along with your solutions. You may use

More information

Maths Level Targets. This booklet outlines the maths targets for each sub-level in maths from Level 1 to Level 5.

Maths Level Targets. This booklet outlines the maths targets for each sub-level in maths from Level 1 to Level 5. Maths Level Targets This booklet outlines the maths targets for each sub-level 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 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

Lesson 8. Decimals. Objectives

Lesson 8. Decimals. Objectives Student Name: Date: Contact Person Name: Phone Number: Lesson 8 Decimals Objectives Understand conceptually what decimal notation means Be able to convert from decimals to mixed numbers and fractions Round

More information

HOSPITALITY Math Assessment Preparation Guide. Introduction Operations with Whole Numbers Operations with Integers 9

HOSPITALITY Math Assessment Preparation Guide. Introduction Operations with Whole Numbers Operations with Integers 9 HOSPITALITY Math Assessment 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 at George

More information

Converting from Decimals to Fractions

Converting 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 information

Property: Rule: Example:

Property: 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 information

Topic Skill Homework Title Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.

Topic Skill Homework Title Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. Year 1 (Age 5-6) Number and Place Value Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. Count up to 10 and back (Age 5-6) Count up to 20 objects (Age 5-6)

More information

COMPASS Numerical Skills/Pre-Algebra Preparation Guide. Introduction Operations with Integers Absolute Value of Numbers 13

COMPASS Numerical Skills/Pre-Algebra Preparation Guide. Introduction Operations with Integers Absolute Value of Numbers 13 COMPASS Numerical Skills/Pre-Algebra 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 information

DECIMALS. The student will be able to:

DECIMALS. The student will be able to: DECIMALS The student will be able to: 1. Perform basic operations using decimal numbers: addition, subtraction multiplication, and division. Demonstrate an understanding of place value Locate decimal numbers

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

YOU MUST BE ABLE TO DO THE FOLLOWING PROBLEMS WITHOUT A CALCULATOR!

YOU MUST BE ABLE TO DO THE FOLLOWING PROBLEMS WITHOUT A CALCULATOR! DETAILED SOLUTIONS AND CONCEPTS - ROUNDING AND NUMBER COMPARISONS Prepared by Ingrid Stewart, Ph.D., College of Southern Nevada Please Send Questions and Comments to ingrid.stewart@csn.edu. Thank you!

More information

Glossary of numeracy terms

Glossary of numeracy terms Glossary of numeracy terms These terms are used in numeracy. You can use them as part of your preparation for the numeracy professional skills test. You will not be assessed on definitions of terms during

More information

Oral and Mental calculation

Oral 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 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

Decimals. Understanding Thousandths Write the decimal shown in each place-value chart. Example. Ones Tenths Hundredths Thousandths

Decimals. Understanding Thousandths Write the decimal shown in each place-value chart. Example. Ones Tenths Hundredths Thousandths Name: Date: Chapter Practice 1 Understanding Thousandths Write the decimal shown in each place-value chart. Example Ones Tenths Hundredths Thousandths 1. 0.237 Ones Tenths Hundredths Thousandths 2. Ones

More information

parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE FIVE

parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE FIVE TM parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE FIVE 5 America s schools are working to provide higher quality instruction than ever before. The way we taught students in the past simply does

More information

Chapter 4. Fractions, Decimals, Percent s Worksheets. Name: Class::

Chapter 4. Fractions, Decimals, Percent s Worksheets. Name: Class:: Chapter 4 Fractions, Decimals, Percent s Worksheets Name: Class:: Rounding Worksheet NAME: Thousands Hundreds Tens Units Decimal. Tenths Hundredths Thousandths Use the table provided to help you round

More information

Name Date Class % Write each decimal as a percent. The first one is done for you

Name Date Class % Write each decimal as a percent. The first one is done for you Name Date Class Practice A Complete. Write or =. The first one is done for you. 1. 0.16 1 10 > 2. 3 5 60% 3. 3 10 0.03 4. 12 4 10 5. 34% 3 4 6. 32% 0.23 Write each decimal as a percent. The first

More information

Lesson 1 Order of Operations

Lesson 1 Order of Operations Lesson 1 Order of Operations "Operations" means things like add, subtract, multiply, divide Student A solved the following problem: 17-7 x 2 = 20. Is he correct? Why or why not? Lesson 1 Order of Operations

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

Introduction 6 National curriculum objectives 7

Introduction 6 National curriculum objectives 7 Contents Introduction 6 National curriculum objectives 7 Number Add/subtract Lesson Plan 1 Place value Code book 8 Lesson Plan 2 Counting Stepping stones 12 Lesson Plan 3 Negative numbers Fairground ride

More information

ONE. New. O^ irpfi'rsooi ^'ia./i /^ ^^ ' Date _/_," ' SAULT CULLiU? ubrary \ SAUL^ sre MARIE DOC #351 SAULT COLLEGE OF APPLIED ARTS & TECHNOLOGY

ONE. 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 information