UNIT 3: POWERS. SQUARE ROOTS. SCIENTIFIC NOTATION. PERCENTAGES.
|
|
- Bennett Griffith
- 5 years ago
- Views:
Transcription
1 UNIT 3: POWERS. SQUARE ROOTS. SCIENTIFIC NOTATION. PERCENTAGES POWERS POWERS OF INTEGERS A power is an abbreviated way of writing a product of equal factors. a a a a a = a in powers, the repeated number is called base and the number of times that is repeated is called index. Important: If the base is a positive number, the power is always positive. If the base is a negative number, the power will be positive if the index is an even number, and the power will be negative if the index is an odd number. Examples: Ø 2 = = 8 Ø 2 ( = = 16 Ø 4 = 4 4 = 16 Ø 3 = = POWERS OF FRACTIONS To raise a fraction to a power, we rise the numerator and the denominator to that power. For expample: 3 5 = 3 5 = As we said with powers of integers, when we raise a positive fraction, the power will be positive; when we raise a negative fraction, the power will be positive if the index is an even number, and negative if the index is an odd number OPERATIONS WITH POWERS Product of powers with the same base To multiply powers of the same base, we keep the base and add the indexes. a 1 a 2 = a 132 1
2 Quotient o powers with the same base To divide powers of the same base, we keep the base and subtract the indexes. a 1 : a 2 = a 152 Power of another power To raise a power to another power, we keep the same base and multiplying the indexes. a 1 2 = a 1 2 Power of a product (product of powers with the same index) The power of a product is equal to the product of the powers of the factors. a b 2 = a 2 b 2 Power of a quotient (quotient of powers with the same index) The power of a quotient is equal to the quotient of the powers of the factors. a: b 2 = a 2 : b 2 a b 2 = a2 b SQUARE ROOTS SQUARE ROOT OF AN INTEGER The square root of a number a, is another number b that when it is raised to the power of two, we get the number a. a = b b 2 = a The " " symbol is called the "radical" symbol. The expression " 9 " is read as "root nine", "radical nine", or "the square root of nine". Note: Numbers with an exact square root are called perfect squares. A positive integer has always two square roots, one of them is positive and the other is negative. A negative integer does not have any square root because when we raise to the power of two, we always get a positive number SQUARE ROOT OF A FRACTION The square root of a fraction is the quotient between the square root of the numerator and the denominator. < = = < = As we said in integers, a positive fraction has two square roots, the positive and the negative. 2
3 A negative fraction does not have any square root SCIENTIFIC NOTATION POWERS WITH BASE 10 The value of a power with base 10 is an 1 followed by so many 0 as the index says. For example: 10 5 = EXPRESSION OF BIG NUMBERS We usually use the scientific notation to express very big or very small numbers. A number is written using scientific notation when it is expressed as the product of a number between 1 and 9 and a power with base 10. The index of the power with base 10 is called order of magnitude. Example: the extension of Europe is km = 1, C 3.4. PERCENTAGES A percent is a ratio of a number to 100. A percent is expressed using the symbol %. A percent is also equivalent to a fraction with denominator 100. To calculate the percentage of a quantity we must multiply it by the percent and divide by 100. Example: 5% of 72 is C DEE = 3,6 Calculate the number when we know the percentage We must multiply the percentage by 100 and divide by the percent. Example: The 22% of a number is 66, which is the number? Total Part = 22x 100% 22% x = FF DEE = 300 x 66 Calculate the percentage when we know the total quantity and the part of it We are going to study that with an example: 1200 interviews have been made in a school. 876 students have answered they clean their teeth every day. What is the percetage of students that clean their teeth every day? Total Part 100% x% 3
4 Calculate a number increased with a percentage We add to the number the percentage. Example: Calculate the value of 320 increased by a 5% First step: the increase is 5% of 320 is E DEE = 16 Second step: the final value is = 336 Calculate a number decreased with a percentage We subtract to the number the percentage. Example: Calculate the value of 320 decreased by a 12% First step: the decrease is 12% of 320 is D E DEE = 38,4 Second step: the final value is = EXERCISES AND PROBLEMS 1. What sign will have the following powers? a) 3 C b) 3 c) G 5 F d) H 2. Calculate: a) 2 ( = b) 2 = c) 1 C = d) 5 = e) 7 = f) 9 = g) Ḏ F = h) = 4
5 i) F = j) DD 5 = 3. Apply the properties of the powers to get only one power. a) 2 2 F b) 3 H E c) 2 3 d) D ( : D e) f) 5 ( g) DE ( h) 13 2 C i) 9 : C : C j) k) 15 F : 5 F 4. Apply the properties of the powers and calculate the result: a) ( b) Ḏ : Ḏ ( 5. Write the following number in scientific notation. a) b) c) Complete: a) = ( b) = 3, Write these numbers with all the figures: a) 1,5 10 ( 5
6 b) 9,03 10 c) 5, G d) 6,01 10 DD 8. Calculate and express the result with scientific notation. a) The distance in kilometers that the light goes through one year (speed of the light: km/s) b) The mass in kilograms of litres of mercury (1 litre of mercury weighs 13,6 kg) 9. In a school, 25 % of the teachers teach basic maths. If there are 50 basic maths teachers, how many teachers are there in the school? 10. There are 60 students in a class. 85% of them study French. How many students do not study French? 11. A football team won 65% of the matches last year. If they won 26 matches, how many matches did they play in total? 12. Laura earns a year and she pays 5200 in taxes. Esteban earns a year and he pays 8370 in taxes. Who pays a higher percentage of taxes? 13. A compact disc priced at 12 is on sale at a 20% discount. How much does the disc cost on sale? 14. In 2014, a car insurance cost 300. In 2015, it decreased by 5%. In 2016 it increased by 10%. What is the final cost of the car insurance? 15. A bike was sold for 2760 in January with a 8% discount. How much did it cost before the discount? 16. Sonia bought a book for 20. The cashier discounted it by 2% because the book was on sale, and after that, he added a 4% IVA. What is the final price of the book? % of the people in a neighbourhood are older than 65 years old. How many people are older than 65 years old? 6
7 18. In the last elections 4560 people voted, and that represents the 75% of the total people in the town. How many people are there in the town? 19. Teresa bought 20 books at the price of 15 euros each book. She got a 10% discount in each one. How much money did she spend? 20. A trader used to sell coffee at the price of 5 /kg. Now he is selling it at the price of 4,75 /kg. What is the discount percentage? 21. There are 1200 students in a school. 25% play tennis, 15% play basketball and 40% play football. Calculate the number of students that play each sport and the percentage of the students that do not practice any sport. 22. Three mountaineers are carrying food for a trip. When they arrive to the shelter, they find out that they have increased their provisions by 15% because the have gathered fruit from the trees. If they now have 402,5 kg of food, calculate how many kilograms of food they had at the beginning of their trip. 23. Last year the reserve of water in a country was 350 hm3. If this year the amount of water has increased by 12%, how many hectometers of water are there now? 24. In a class of 30 students there are 30 people who have the flu. What is the percentage of students who have the flu? 25. We want to make a photocopy reducing the height of the photocopy from 12,5 cm to 6 cm. What percentage of reduction are we applying? 26. The price of a product was increased by 20% in January and another 5% in February. The final price was 504. What was the initial price? 27. The price of a fridge with 21% IVA (VAT) is 605. What is the price without IVA? 28. The price of a jumper was 38 but I got a 25% discount. If we have to apply a 21% IVA (VAT) over that price, what would the final price would be? 7
8 29. A trader decided to increase the price of merchandise which costs 72 by 3%. If next week he decided to increase the price another 3%, what will the final price be? 30. Helen makes lemonade with 12 litres of water and 8 litres of lemon juice. What is the percentage of lemon juice? 8
Arithmetic Revision Sheet Questions 1 and 2 of Paper 1
Arithmetic Revision Sheet Questions and of Paper Basics Factors/ Divisors Numbers that divide evenly into a number. Factors of,,,, 6, Factors of 8,,, 6, 9, 8 Highest Common Factor of and 8 is 6 Multiples
More information5.06 Rationalizing Denominators
.0 Rationalizing Denominators There is a tradition in mathematics of eliminating the radicals from the denominators (or numerators) of fractions. The process is called rationalizing the denominator (or
More informationUNIT 1: Ratios, Rates, & Proportions
UNIT 1: Ratios, Rates, & Proportions Review: fractions A fraction allows you to determine two quantities and their proportion to each other as part of a whole. NUMERATOR number on top (part) DENOMINATOR
More informationNot for sale or distribution
TALK.9 Fractions, Decimals, and Percentages In this section you will convert between fractions, decimals, and percentages, and work with recurring decimals. Exercise.9 Warm Up Moza says, The numbers,.0
More informationP.1 Algebraic Expressions, Mathematical models, and Real numbers. Exponential notation: Definitions of Sets: A B. Sets and subsets of real numbers:
P.1 Algebraic Expressions, Mathematical models, and Real numbers If n is a counting number (1, 2, 3, 4,..) then Exponential notation: b n = b b b... b, where n is the Exponent or Power, and b is the base
More informationPART I: NO CALCULATOR (200 points)
Prealgebra Practice Final Math 0 OER (Ch. -) PART I: NO CALCULATOR (00 points) (.). Find all divisors of the following numbers. a) b) 7 c) (.). Find the prime factorization of the following numbers. a)
More informationMATHEMATICS AND STATISTICS 1.1
MATHEMATICS AND STATISTICS. Apply numeric reasoning in solving problems Internally assessed credits Factors, multiples and primes The set of whole numbers is infinite (continues without end). 0,, 2,,,
More informationChapter 5 Financial Maths
Chapter 5 Financial Maths (Usually Q1/Q2 Paper 1) This revision guide covers Ordinary level notes Miss McDonnell 1 o Ratio and proportions o Currency transactions o Converting between decimal, percent
More information5.3 Standard Deviation
Math 2201 Date: 5.3 Standard Deviation Standard Deviation We looked at range as a measure of dispersion, or spread of a data set. The problem with using range is that it is only a measure of how spread
More informationRatios, Rates, and Conversions. Section 4-1 Part 1
Ratios, Rates, and Conversions Section 4-1 Part 1 Vocabulary Ratio Rate Unit Rate Conversion Factor Unit Analysis Definition Ratio is a comparison of two quantities by division. The ratio of a to b can
More information$100 $400 $400 $400 $500
$100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 The Powers That Be! Pythagorean Properties Roots and Squares Scientific Notation
More informationPERCENT. Ex. 2: If you used 50 out of 200 postcard stamps, then you used 25% of your stamps.
Percent PERCENT Percent is an important mathematical topic. It is used frequently in real life situations, particularly in business when working with discounts, interest, commission and changes in price.
More informationNumeracy Booklet A guide for pupils, parents and staff
Numeracy Booklet A guide for pupils, parents and staff The aim of this booklet is to ensure that there is a consistent approach throughout the academy and at home on basic mathematical concepts Place Value
More information4 Percentages Chapter notes
4 Percentages Chapter notes GCSE Specification concepts and skills Find a percentage of a quantity (N o): 4. Use percentages to solve problems (N m): 4., 4.2, 4., 4.4 Use percentages in real-life situations:
More informationRevision G6. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What percent of the figure is shaded?
Revision G6 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What percent of the figure is shaded? a. % b. 3% c. 30% d. 300% 2. The town garden has 80%
More informationName For those going into. Algebra 1 Honors. School years that begin with an ODD year: do the odds
Name For those going into LESSON 2.1 Study Guide For use with pages 64 70 Algebra 1 Honors GOAL: Graph and compare positive and negative numbers Date Natural numbers are the numbers 1,2,3, Natural numbers
More information1. Factors: Write the pairs of factors for each of the following numbers:
Attached is a packet containing items necessary for you to have mastered to do well in Algebra I Resource Room. Practicing math skills is especially important over the long summer break, so this summer
More informationMATH STUDENT BOOK. 8th Grade Unit 4
MATH STUDENT BOOK 8th Grade Unit 4 Unit 4 Proportional Reasoning Math 804 Proportional Reasoning Introduction 3 1. Proportions 5 Proportions 5 Applications 11 Direct Variation 16 SELF TEST 1: Proportions
More informationFoundation tier unit 4a check in test. Non-calculator. Q1. Three of these fractions are equivalent. Which is the odd one out? 6 8
Foundation tier unit a check in test Non-calculator Q1. Three of these fractions are equivalent. Which is the odd one out? 6 8 18 2 2 2 28 6 Q2. Helen scored 6 out of 50 possible points in a quiz. Write
More informationBy the end of this set of exercises, you should be able to. express one quantity as a percentage of another
BASIC CALCULATIONS By the end of this set of exercises, you should be able to (a) (b) (c) (d) find a percentage of a quantity express one quantity as a percentage of another round calculations to a given
More informationChapter 6 Ratios and Percentages
Chapter 6 Section 6.1 Ratios Introduction Ratios are used to compare quantities. Ratios are written with a colon (:). A ratio can be expressed in a number of ways. For example if John is five years old
More informationMath 6 Unit 7 Notes: Proportional relationships
Math 6 Unit 7 Notes: Proportional relationships Objectives: (3.2) The student will translate written forms of fractions, decimals, and percents to numerical form. (5.1) The student will apply ratios in
More informationMath 6 Notes: Ratios and Proportional Relationships PERCENTS
Math 6 Notes: Ratios and Proportional Relationships PERCENTS Prep for 6.RP.A.3 Percents Percents are special fractions whose denominators are. The number in front of the percent symbol (%) is the numerator.
More informationFor use only in Whitgift School. IGCSE Higher Sheets 1. IGCSE Higher
IGCSE Higher Sheet H--0a- Fractions Sheet H- -0a- Fractions Sheet H- -04a-b- Surds Sheet H-4-04a-b- Surds Sheet H-5-04c- Indices Sheet H-6-04c- Indices Sheet H-7-04c- Indices Sheet H-8-04c-4 Indices Sheet
More informationNUMBER SKILLS SELF-ASSESSMENT QUESTIONS
NUMBER SKILLS SELF-ASSESSMENT QUESTIONS (Multiplication Facts: I cannot emphasise enough how useful it is to really know your tables. You will know whether you need to brush up on your tables I won t insult
More informationMATH Workbook. Copyright: SEMANTICS reproduction of this in any form without express permission is strictly prohibited. 1
MATH Workbook 1 Foreword One of the prime objectives of education is to develop thinking skill in learners. Thinking skills is essential to success in education, career and life in general. Mathematical
More informationTABLE OF CONTENTS. About Finish Line PA Core Math 5. UNIT 1: Big Ideas from Grade 5 7 UNIT 1 REVIEW 39
TABLE OF CONTENTS About Finish Line PA Core Math 5 UNIT 1: Big Ideas from Grade 5 7 LESSON 1 CC.2.1.5.C.2 Multiplying Fractions [connects to CC.2.3.6.A.1] 8 LESSON 2 CC.2.1.5.B.2 Operations with Decimals
More information4 Convert 5/8 into a percentage 62.5% Write down a fraction between 1/3 and 1/2
/ = Five sixths add seven ninths 0 / Explain why % is less than / / equals.% which is greater than % Convert / into a percentage.% Increase by %.0 Write down a fraction between / and / Decrease m by %
More informationGCSE Homework Unit 2 Foundation Tier Exercise Pack New AQA Syllabus
GCSE Homework Unit 2 Foundation Tier Exercise Pack New AQA Syllabus The more negative a number, the smaller it is. The order of operations is Brackets, Indices, Division, Multiplication, Addition and Subtraction.
More informationUNIT 7 MULTIPLICATIVE AND PROPORTIONAL REASONING
UNIT 7 MULTIPLICATIVE AND PROPORTIONAL REASONING INTRODUCTION In this Unit, we will learn about the concepts of multiplicative and proportional reasoning. Some of the ideas will seem familiar such as ratio,
More informationWorksheets for GCSE Mathematics. Percentages. Mr Black's Maths Resources for Teachers GCSE 1-9. Number
Worksheets for GCSE Mathematics Percentages Mr Black's Maths Resources for Teachers GCSE 1-9 Number Percentage Worksheets Contents Differentiated Independent Learning Worksheets Writing Percentages Page
More informationAnswers. Chapter 1. Chapter 2
Answers Chapter Worksheet.,.,. 7,.,7. twenty-seven thousand, four hundred ninety-five. forty-eight thousand, two hundred thirty 7. eighty-four thousand. ninety thousand, six hundred five.,.,.,.,.,. 7,.,,,.,,,
More informationNO. ITEMS Working Column Marks. 1. What is the PLACE VALUE of the digit 7 in the number ? TENTHS. Answer:
TEST 5 81 NO. ITEMS Working Column Marks 1. What is the PLACE VALUE of the digit 7 in the number 529.72? TENTHS Answer: 2. Write the numeral which represents (9 10000)+(6 1000)+(4 100)+(3 ) 96 400.03 Answer:
More informationMFM1P Foundations of Mathematics Unit 1 Lesson 3
Integers Lesson 3 Lesson Three Concepts Overall Expectations Solve problems involving proportional reasoning. Specific Expectations Simplify numerical expressions involving integers and rational numbers
More informationWarm Up January 27, 2016 Change the fraction to a percent 1. 4/5
Warm Up January 27, 2016 Change the fraction to a percent 1. 4/5 2. 1 and 4/5 3. 2/3 4. 5/8 1 Percent of Change Percent is a fraction whose denominator is 100. The symbol is %. A percent of change shows
More informationDecimal Multiplication and Division 1) ) ) ) ) 5.4 x ) x 2
Level B2 Review Packet This packet briefly reviews the topics covered on the Level A Math Skills Assessment. If you need additional study resources and/or assistance with any of the topics below, please
More informationChapter 1: Problem Solving. Chapter 1: Problem Solving 1 / 21
Chapter 1: Problem Solving Chapter 1: Problem Solving 1 / 21 Percents Formula percent = part whole Chapter 1: Problem Solving 2 / 21 Percents Formula percent = part whole part = percent whole Chapter 1:
More information1) 17 11= 2) = 3) -9(-6) = 6) ) ) ) Find the 444. If necessary, round to the nearest tenth.
SOL 7.3 Simplify each. 1) 17 11= 2) -100 + 5 = 3) -9(-6) = 4) SOL 8.5 Circle all of the following that are perfect squares. 256 49 16 21 64 1 98 81 76 400 5) How do you determine if a number is a perfect
More information8 COMPARING QUANTITIES
8 COMPARING QUANTITIES Exercise 8.1 Q.1. Find the ratio of : (a) Rs 5 to 50 paise (b) 15 kg to 210 gm (c) 9 m to 27 cm (d) 30 days to 36 hours Ans. (a) Ratio between Rs 5 to 50 paise Rs 1 paise Rs 5 500
More informationName: Period: Date: FOMP 10 Final Review Part 2 v1. Short Answer. Level 1-2 Questions. 1. What expression does the diagram represent?
Period: Date: FOMP 10 Final Review Part 2 v1 Short Answer Level 1-2 Questions 1. What expression does the diagram represent? 2. What is the factored form of the expression 5x 2 45? 3. What value of k makes
More informationPre Ap Test Review 3.2. Math Vocabulary. A constant rate of chanÿe is a rate that describes how one quantity
Pre Ap Test Review 3.2 Math Vocabulary A constant rate of chanÿe is a rate that describes how one quantity changes in relation to another. A percent is a ratio that compares a number to 100 The coordinate
More informationH.S.E. PREP SEC
H.S.E. PREP COURSE @ SEC VERSION 2.0, 2018 MODULE B RATIONALS STUDENT WORKBOOK H.S.E. PREP COURSE MODULE B: RATIONALS CONTENTS REVIEW... 3 OPERATIONS WITH INTERGERS... 3 DECIMALS... 4 BASICS... 4 ADDING
More informationNational 5 Mathematics
St Andrew s Academy Mathematics Department National 5 Mathematics UNIT 1 ASSESSMENT PREPARATION St Andrew's Academy Maths Dept 2016-17 1 Practice Unit Assessment 1A for National 5 1. Expand and simplify
More informationDELHI PUBLIC SCHOOL, M R NAGAR, MATHURA, REVISION ASSIGNMENTS, CLASS VIII, MATHEMATICS
CHAPTER: COMPARING QUANTITIES TOPIC: RATIO, PERCENTAGE AND PERCENTAGE INCREASE/DECREASE: SET : 1 1. Rajesh decided to cycle down to his grandma s house. The house was 42 km away from his house. He cycled
More informationACCUPLACER Elementary Algebra Assessment Preparation Guide
ACCUPLACER Elementary Algebra 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
More informationID: ID: ID: ID: 1.3.1b. ID: 1.3.2a
1. An arithmetic sequence is a list of numbers in which consecutive numbers share a common difference. Each number after the first is calculated by adding the common difference to the preceding number.
More informationCAHSEE on Target UC Davis, School and University Partnerships
UC Davis, School and University Partnerships CAHSEE on Target Mathematics Curriculum Published by The University of California, Davis, School/University Partnerships Program 2006 Director Sarah R. Martinez,
More informationARITHMETIC CLAST MATHEMATICS COMPETENCIES. Solve real-world problems which do not require the use of variables and do
ARITHMETIC CLAST MATHEMATICS COMPETENCIES IAa IAb: IA2a: IA2b: IA3: IA4: IIA: IIA2: IIA3: IIA4: IIA5: IIIA: IVA: IVA2: IVA3: Add and subtract rational numbers Multiply and divide rational numbers Add and
More informationWrite down all the figures on your calculator display. Put brackets in each expression so that each statement is true
1. (a) Use your calculator to work out 2 (6.2 3.9) 1.25 Write down all the figures on your calculator display. (b) Put brackets in each expression so that each statement is true (i) 14.5 2.6 4.5 3.6 =
More informationFOREWORD. I seek your valuable suggestions to improvement. - Niraj Kumar. 2 P a g e n i r a j k u m a r s w a m i. c o m
SWAMI S WORK BOOK ON MATHS MCQ 4 Design & Developed by - Niraj Kumar (Primary Teacher) MA (English), B.Ed, CPPDPT (IGNOU) Kendriya Vidyalya Dipatoli,Ranchi 1 P a g e n i r a j k u m a r s w a m i. c o
More informationLeith Academy. Numeracy Booklet Pupil Version. A guide for S1 and S2 pupils, parents and staff
Leith Academy Numeracy Booklet Pupil Version A guide for S1 and S2 pupils, parents and staff Introduction What is the purpose of the booklet? This booklet has been produced to give guidance to pupils and
More informationMultiplying and Dividing Rational Expressions
COMMON CORE 4 Locker LESSON 9. Multiplying and Dividing Rational Expressions Name Class Date 9. Multiplying and Dividing Rational Expressions Essential Question: How can you multiply and divide rational
More informationMFM 1P. Foundations of Mathematics Grade 9 Applied Mitchell District High School. Unit 2 Proportional Reasoning 9 Video Lessons
MFM 1P Foundations of Mathematics Grade 9 Applied Mitchell District High School Unit 2 Proportional Reasoning 9 Video Lessons Allow no more than 14 class days for this unit! This includes time for review
More informationREVIEW PROBLEMS FOR NUMERICAL SKILLS ASSESSMENT TEST-Rev 1 (Note: No calculators are allowed at the time of the test.)
- - REVIEW PROBLEMS FOR NUMERICAL SKILLS ASSESSMENT TEST-Rev (Note: No calculators are allowed at the time of the test.). 9 + 67 =. 97 7 =. 7 X 6 =. 6 7 =. = 6. 6 7 7. Anne saves $7 every month out of
More informationRP7-31 Using Proportions to Solve Percent Problems I
RP-1 Using Proportions to Solve Percent Problems I These are equivalent statements: 6 9 of the circles are shaded. of the circles are shaded. 6 is of 9. 6 : 9 : part whole 1. Write four equivalent statements
More informationYear 8 Term 1 Math Homework
Yimin Math Centre Year 8 Term 1 Math Homework Student Name: Grade: Date: Score: Table of contents 4 Year 8 Term 1 Week 4 Homework 1 4.1 Topic 1 Percentages.................................. 1 4.1.1 Simple
More informationArithmetic. Mathematics Help Sheet. The University of Sydney Business School
Arithmetic Mathematics Help Sheet The University of Sydney Business School Common Arithmetic Symbols is not equal to is approximately equal to is identically equal to infinity, which is a non-finite number
More information100 3 e.g. to a percentage becomes
PERCENTAGES Percentage (written %) means "out of one hundred" i.e. % means "twelve out of a hundred" or 00 50 50% means "50 out of a hundred" or 00 Fractions and decimals can easily be changed into percentages
More informationNATIONAL SENIOR CERTIFICATE (NSC) GRADE 11 MID-YEAR EXAMINATION MATHEMATICAL LITERACY PAPER 1 (NSC11-02) D A
MATHIG111 NATIONAL SENIOR CERTIFICATE (NSC) GRADE 11 MID-YEAR EXAMINATION MATHEMATICAL LITERACY PAPER 1 (NSC11-02) D10055656-4-A TIME: 09H00 10H30 TOTAL: 75 MARKS DURATION: 1½ HOURS DATE: 10 JUNE 2013
More informationUNIT 1 RELATIONSHIPS BETWEEN QUANTITIES AND EXPRESSIONS Lesson 1: Working with Radicals and Properties of Real Numbers
Guided Practice Example 1 Reduce the radical expression result rational or irrational? 80. If the result has a root in the denominator, rationalize it. Is the 1. Rewrite each number in the expression as
More informationInstructor: Imelda Valencia Course: 6th Grade Sy
Student: Date: Instructor: Imelda Valencia Course: 6th Grade Sy 207 208 Assignment: Summer Homework for incoming 6th Graders SY 207 208 *. Fill in the blank to make a true statement. A 3 in the place has
More informationExponents Unit Notebook v2.notebook. November 09, Exponents. Table Of Contents. Section 1: Zero and Integer Exponents Objective: Nov 1-10:06 AM
Exponents Nov 1-10:06 AM Table Of Contents Section 1: Zero and Integer Exponents Section 2: Section 3: Multiplication Properties of Exponents Section 4: Division Properties of Exponents Section 5: Geometric
More informationWOODBROOK SECONDARY SCHOOL MATHEMATICS PERCENTAGES FORM 4 % 1 100
A percentage is a fraction whose denominator is. It is represented using the symbol %, where: % 1 Ex. 5% = 5 1 = 5 Ex. 115% = 115 1 = 115 Ex. 3 1 2 % = 7 2 1 = 7 200 3 1 2 = 7 2 Ex. 0.125% = = 1 1 8 1
More information1 Model Paper. Model Paper - 1
A. 1 Model Paper Model Paper - 1 (Term -I) Find that the following pairs of sets are equivalent or non-equivalent. (Any five) B. If, L = {0, 1, 2,...12}, M = {5, 7, 9,... 15} and N = {6, 8, 10, 12, 14}
More informationName: Common Core Algebra L R Final Exam 2015 CLONE 3 Teacher:
1) Which graph represents a linear function? 2) Which relation is a function? A) B) A) {(2, 3), (3, 9), (4, 7), (5, 7)} B) {(0, -2), (3, 10), (-2, -4), (3, 4)} C) {(2, 7), (2, -3), (1, 1), (3, -1)} D)
More informationThings to Learn (Key words, Notation & Formulae)
Things to Learn (Key words, Notation & Formulae) Key words: Percentage This means per 100 or out of 100 Equivalent Equivalent fractions, decimals and percentages have the same value. Example words Rise,
More informationNAME: UNIT 2: Ratio and Proportion STUDY GUIDE. Multiple Choice Identify the choice that best completes the statement or answers the question.
NME: UNIT 2: Ratio and Proportion STUY GUIE RP.1 Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Use the table to write the ratio of green beans to peppers.
More informationThe City School PAF Chapter Prep Section. Mathematics. Class 8. First Term. Workbook for Intervention Classes
The City School PAF Chapter Prep Section Mathematics Class 8 First Term Workbook for Intervention Classes REVISION WORKSHEETS MATH CLASS 8 SIMULTANEOUS LINEAR EQUATIONS Q#1. 1000 tickets were sold. Adult
More information2. Proportion When two ratios are equal, the four quantities are said to form a proportion.
SESSION 2: RATIO, PROPORTION, RATES AND PERCENTAGES KEY CONCEPTS: Ratio Proportion Rates Percentages X-PLANATION 1. Ratio: A ratio is a comparison of two numbers (called terms of the ratio). Ratios have
More informationStudy Guide and Intervention
NAME DATE PERIOD Study Guide and Intervention Fractions and Decimals To write a decimal as a fraction, divide the numerator of the fraction by the denominator. Use a power of ten to change a decimal to
More informationLearning Plan 3 Chapter 3
Learning Plan 3 Chapter 3 Questions 1 and 2 (page 82) To convert a decimal into a percent, you must move the decimal point two places to the right. 0.72 = 72% 5.46 = 546% 3.0842 = 308.42% Question 3 Write
More information10% is 8, and 1% is 0.8. ACTIVITY: Finding 10% of a Number. a. How did Newton know that 10% of 80 is 8? = 10 =
5.6 Solving Percent Problems percent of a number? How can you use mental math to find the I have a secret way for finding 2% of 80. 0% is 8, and % is 0.8. So, 2% is 8 + 8 + 0.8 = 6.8. ACTIVITY: Finding
More informationPark Forest Math Team. Meet #2. Self-study Packet
Park Forest Math Team Meet #2 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. Geometry: Angle measures in plane figures including supplements and complements 3. Number
More informationMTH 110-College Algebra
MTH 110-College Algebra Chapter R-Basic Concepts of Algebra R.1 I. Real Number System Please indicate if each of these numbers is a W (Whole number), R (Real number), Z (Integer), I (Irrational number),
More informationCHAPTER. Understanding Percent
CHAPTER 4 Understanding Percent GET READY 162 Math Link 164 4.1 Warm Up 165 4.1 Representing Percents 166 4.2 Warm Up 172 4.2 Fractions, Decimals, and Percents 173 4.3 Warm Up 187 4.3 Percent of a Number
More informationCurrency, Conversions, Rates
Currency, Conversions, Rates 1. Changing From One to the Other MONEY! FINANCES! $ We want to be able to calculate how much we are going to get for our Australian dollars (AUD) when we go overseas, and
More informationPage 1 -- CCM6+ Unit 9 Measurement Conversions, Percents, Percent Applications. Percents and Measurement Conversions
Page 1 -- CCM6+ Unit 9 Measurement Conversions, Percents, Percent Applications UNIT 9 2016-17 Percents and Measurement Conversions CCM6+ Name: Math Teacher: Projected Test Date: Topic Page # Unit 9 Vocabulary
More informationFinal Exam Review - MAT 0028
Final Exam Review - MAT 0028 All questions on the final exam are multiple choice. You will be graded on your letter choices only - no partial credit will be awarded. To maximize the benefit of this review,
More informationPERCENTAGES WHAT S IN CHAPTER 6? IN THIS CHAPTER YOU WILL:
PERCENTAGES 6 WHAT S IN CHAPTER 6? 6 01 Percentages, fractions and decimals 6 02 Percentage of a quantity 6 0 Expressing quantities as fractions and percentages 6 0 Percentage increase and decrease 6 05
More informationSummer Math Packet for Entering Algebra 1 Honors Baker High School
Summer Math Packet for Entering Algebra 1 Honors Baker High School *You should be fluent in operations with fractions involved (multiplying, dividing, adding, and subtracting). *You should know all of
More informationModule 6 Percent % Section 6.1 Understanding Percent. 1 of MAT001 MODULE 6 PERCENT. Denominators of 100
Module 6 Percent % Section 6.1 Understanding Percent CQ-6-01. Write 0.19% 19% 1900% 0.0019% 19 as a percent. P. 1 of 54 P. 4 of 54 Denominators of The word percent means per hundred. A percent is another
More informationEDULABZ INTERNATIONAL NUMBERS AND REAL NUMBERS
5 NUMBERS AND REAL NUMBERS. Find the largest 4-digit number which is exactly divisible by 459. Ans.The largest 4-digit natural number = 9999 We divide 9999 by 459 and find the remainder 459 9999 98 89
More informationNumber Sense AP Book 7, Part 2: Unit 1
Number Sense AP Book, Part : Unit COPYRIGHT 0 JUMP MATH: NOT TO BE COPIED AP Book NS- page. A. 0. B. 0.00 C. 0. D. 0.0 E. 0.0. a) 0 = 0. = 0. 0 = 0. = 0. = 0. = 0. 0. Teacher to check.. a) 0 0. a) i) Numerators
More informationMathematical Applications (200 marks)
2013. AP 8 Coimisiún na Scrúduithe Stáit State Examinations Commission Leaving Certificate Applied 2013 Mathematical Applications (200 marks) Friday, 7 June Morning 9.30 11.30 General Directions 1. Write
More informationTest # 3 Review Ch. 6 & 7.1 to 7.3 Math MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Test # 3 Review Ch. 6 & 7.1 to 7.3 Math 0306 Name Date: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Round your answer to the tenth of a percent.
More informationGrade 12 Essential Mathematics Achievement Test. Student Booklet
Grade 12 Essential Mathematics Achievement Test Student Booklet June 2013 Manitoba Education Cataloguing in Publication Data Grade 12 essential mathematics achievement test. Student booklet. June 2013
More informationExamples from Unit 3A
Examples from Unit 3A 1. Which of the following statements illustrates the use of a percentage to describe a fraction? A. So far, we have collected only 12% of the money we need. X B. This year, the number
More informationAVERAGE. Example1: Find an average of following observations: 3, 4, 8, 12, 2, 5, 1. Sum of all observations
Bank AVERAGE Average is a very simple topic and just involves simple mathematical calculations. Average concept has various applications. We will discuss its applications in next session. Firstly we will
More informationUnit 3: Rational Numbers
Math 9 Unit 3: Rational Numbers Oct 9 9:04 AM 3.1 What is a Rational Number? Any number that can be written in the form m n, where m and n are integers and n = 0. In other words, any number that can be
More informationN5 A1.3 Fractions and Percentages - Revision
N A. Fractions and Percentages - Revision This revision pack covers the skills at Unit Assessment and exam level f Fractions and Percentages so you can evaluate your learning of this outcome. It is imptant
More informationNumber. Day: 1. Topic: Fractions. Multiply 2 x 5 x of 30 of 30 = 30 5 = 6 so of 30 = 2 x 6 = 12
30-4-10 Number Day: 1 Topic: Fractions You need to be able to: understand equivalent fractions and simplify a fraction by cancelling calculate a given fraction of a quantity express one number as a fraction
More informationMATHEMATICAL LITERACY
- 1 - CAMI Education (PTY) Ltd Reg. No. 1996/017609/07 CAMI House Fir Drive, North Cliff P. O. Box 1260 CRESTA, 2118 TEL: +27 (11) 476-2020 Fax: 086 601 4400 Web: www.camiweb.com E-mail: info@camiweb.com
More informationTOPIC SKILLS R A G. Expand Double Brackets Including brackets with 3 terms. Squaring Brackets (x + 8) 2. Amber/Red Go to. Page 8-10.
TOPIC SKILLS R A G Amber/Red Go to Expand Double Brackets Including brackets with 3 terms (x + 2)(x + 3) = x 2 + 2x + 3x + 6 = x 2 + 5x + 6 Page 8-10 (x + 2)(x 6) = x 2 + 2x 6x 12 = x 2 4x 12 (2x 8)(3x
More informationTHE UNITED REPUBLIC OF TANZANIA NATIONAL EXAMINATIONS COUNCIL CERTIFICATE OF SECONDARY EDUCATION EXAMINATION. Instructions
THE UNITED REPUBLIC OF TANZANIA NATIONAL EXAMINATIONS COUNCIL CERTIFICATE OF SECONDARY EDUCATION EXAMINATION 041 BASIC MATHEMATICS (For School Candidates Only) Time: 3 Hours Tuesday, 05 th November 2013
More informationEXERCISE 1.1 EXERCISE 1.2. (a) 2, 10; [ 2 ( 10) = 8] (b) 6, 1 (c) 1, 2; ( 1 2 = 3) EXERCISE 1.3
ANSWERS 9 ANSWERS EXERCISE.. (a) Lahulspiti: 8 C, Srinagar: C, Shimla: C, Ooty: C, Bangalore: C (b) 0 C (c) 6 C (d) Yes; No.. C; C. 600 m. By a positive integer; Rs 8 6. By a negative integer; 0.. is the
More information2.1 Fractions, Decimals and Percentages. 2.2 Fractions and Percentages of Quantities. 2.3 Quantities as Percentages. 2.4 More Complex Percentages
Contents STRAND A: Computation Unit 2 Percentages Student Text Contents Section 2. Fractions, Decimals and Percentages 2.2 Fractions and Percentages of Quantities 2. Quantities as Percentages 2. More Complex
More information11. [Percentages] 60% Write the number followed by the percent symbol % Hint: Percentage means per hundred or of each hundred.
. [Percentages] Skill. Writing a number out of 00 as a percentage. Write the number followed by the percent symbol % Hint: Percentage means per hundred or of each hundred. Q. Write as a percentage: 84
More information1.3 Real World and Mathematical Problems
.3. Real World and Mathematical Problems with Rational Numbers - 7.NS.3 www.ck2.org.3 Real World and Mathematical Problems with Rational Numbers - 7.NS.3 Students will change between equivalent forms of
More informationpar ( 12). His closest competitor, Ernie Els, finished 3 strokes over par (+3). What was the margin of victory?
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Tiger Woods won the 000 U.S. Open golf tournament with a score of 1 strokes under par
More informationSection 8 2: Multiplying or Dividing Rational Expressions
Section 8 2: Multiplying or Dividing Rational Expressions Multiplying Fractions The basic rule for multiplying fractions is to multiply the numerators together and multiply the denominators together a
More information