Premium Essay

Chapter 8 Solution

In:

Submitted By rhandy3rdp
Words 310
Pages 2
8-1 = (0.1)(-50%) + (0.2)(-5%) + (0.4)(16%) + (0.2)(25%) + (0.1)(60%) = 11.40% 2 = (-50% – 11.40%)2(0.1) + (-5% – 11.40%)2(0.2) + (16% – 11.40%)2(0.4) + (25% – 11.40%)2(0.2) + (60% – 11.40%)2(0.1) 2 = 7.12%; = 26.69% CV = 26.69%/11.40% CV = 2.34

8-2 | Investment | Ratio | Beta | | A | $ 35,000 | 47% | 0.8 | 0.37 | B | $ 40,000 | 53% | 1.4 | 0.75 | | $ 75,000 | 100% | | 1.12 |

The portfolio’s beta is 1.12.

8-3 r = rRF + (rM – rRF)b = 6% + (13% – 6%) (0.7) = 10.9%

8-4 r = rRF + (rM – rRF)b = 5% + (11% – 5%) (1.2) = 12.20%

8-5
a.)
r = rRF + (market risk premium)b
11% =7% + (4%)(beta)
Beta = (11%-7%)/4%
Beta = 1.0

b.) r = rRF + (market risk premium)b =7% + (6%) (1) r = 13%
The stock’s required rate of return will increase to 13%. There is an increase of 2% on the required rate of return.
8-6
Computations for stock Y = (0.1)(-35%) + (0.2)(0%) + (0.4)(20%) + (0.2)(25%) + (0.1)(45%) = 14 % 2 = (-35% – 14 %)2(0.1) + (0% – 14 %)2(0.2) + (20% – 14 %)2(0.4) + (25% – 14 %)2(0.2) + (45% – 14 %)2(0.1) 2 = 4.14 %; = 20.35% CV = 20.35%/14% CV = 1.45 Computations for stock X = (0.1)(-10%) + (0.2)(2%) + (0.4)(12%) + (0.2)(20%) + (0.1)(38%) = 12 % 2 = (-10% – 12 %)2(0.1) + (2% – 12 %)2(0.2) + (12% – 12 %)2(0.4) + (20% – 12 %)2(0.2) + (38% – 12 %)2(0.1) 2 = 1.49 %; = 12.20% CV = 12.20%/12%
CV = 1.07

8-7 r = rRF + (rM – rRF)b = 6% + (14% – 6%) (0.76) =

Similar Documents

Premium Essay

Intermediated Accounting Solution Chapter 8

...CHAPTER 8 Valuation of Inventories: A Cost-Basis Approach ASSIGNMENT CLASSIFICATION TABLE (BY TOPIC) Topics Questions Brief Exercises Exercises Problems Concepts for Analysis 1, 2, 3, 5 1. Inventory accounts; 1, 2, 3, 4, determining quantities, 5, 6, 8, 9 costs, and items to be included in inventory; the inventory equation; balance sheet disclosure. 1, 3 1, 2, 3, 4, 5, 6 1, 2, 3 2. Perpetual vs. periodic. 2 9, 13, 17, 20 4, 5, 6 3. Recording of discounts. 10, 11 7, 8 3 4. Inventory errors. 7 4 5, 10, 11, 12 2 5. Flow assumptions. 12, 13, 16, 18, 20 5, 6, 7 9, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 1, 4, 5, 6, 7 5, 6, 7, 8, 11 6. Inventory accounting changes. 18 7 6, 7, 10 7. Dollar-value LIFO methods. 22, 23, 24, 25, 26 1, 8, 9, 10, 11 8, 9 Copyright © 2013 John Wiley & Sons, Inc. 14, 15, 17, 18, 19 8, 9 Kieso, Intermediate Accounting, 15/e, Solutions Manual 4 (For Instructor Use Only) 8-1 ASSIGNMENT CLASSIFICATION TABLE (BY LEARNING OBJECTIVE) Learning Objectives Questions Brief Exercises Exercises Problems Concepts for Analysis 1. Identify major classifications of inventory. 1 1 2. Distinguish between perpetual and periodic inventory systems. 3 2 4, 9, 13, 17 4, 5, 6 3. Determine the goods included in inventory and the effects of inventory errors...

Words: 20989 - Pages: 84

Premium Essay

Audit Chapter 8 Solutions Manual

...Solutions for Chapter 8 Tools to Gather Audit Evidence Review Questions: 8-1. The three main tools the auditor might use in gathering and evaluating audit evidence are: • Audit sampling • Generalized Audit Software • Analytical procedures 8-2. Non-sampling risk is the risk that the auditor makes an improper assessment of inherent and/or control risk or did not apply audit procedures carefully. It can be minimized through: (1) Good hiring, training and supervision practices; and (2) Careful and knowledgeable review of audit documentation and audit procedures. Sampling risk is the risk that the misstatement projections based on the sample results lead to the wrong conclusion about the population because of a non-representative sample. Sampling risk can be reduced by increasing the sample size – to the extreme of auditing the entire population therefore eliminating sampling risk altogether. 8-3. Factors to consider when choosing between statistical and nonstatistical sampling include: • Need to quantify and control sampling risks. • Additional cost of designing, selecting, and evaluating a statistical sample. • Availability of computer software to assist in designing, selecting, and/or evaluating the sample. • Ability of the audit staff to properly implement statistical sampling. 8-4. a. Tolerable deviation rate depends on the significance of the control procedure being tested...

Words: 11678 - Pages: 47

Premium Essay

Acc 102 Chapter 8 Answer Solution

...Chapter 8 PROBLEM SET B Problem 8-1B (20 minutes) 1. Violates both applying technological control and effective segregation of duties. It is safe to assume that Latisha Tally has knowledge of employee passwords since she implemented the system of password protection companywide. It is a potentially insecure situation that Latisha processes payroll and can now probably change employee pay rates at will, or add a fictitious employee to the file. The company should hire an outside consultant to rework the password protection system so Latisha will not have the knowledge that she currently possesses. 2. Violates applying technological controls. The theater’s system needs to be backed up at least daily, not weekly. The theater needs to change the backup policy and make sure the backup copies are stored off premises. 3. Violates segregation of duties. The company needs to have three employees handle these functions instead of two. One employee should place purchase orders, one should receive merchandise, and the third should pay vendors. 4. Violates applying technological controls. The use of the check protector is a good internal control. However the company needs to keep the checks and check protector in a locked environment to prevent unauthorized use. 5. Violates segregation of duties. It is good internal control to separate duties for cash receipts and cash disbursements. Moreover, an employee independent of these two functions should be...

Words: 3277 - Pages: 14

Free Essay

Chapter 8 Brooks Introductory Econometrics for Finance Solutions

...Solutions to the Review Questions at the End of Chapter 8 1. (a). A number of stylised features of financial data have been suggested at the start of Chapter 8 and in other places throughout the book: - Frequency: Stock market prices are measured every time there is a trade or somebody posts a new quote, so often the frequency of the data is very high - Non-stationarity: Financial data (asset prices) are covariance non-stationary; but if we assume that we are talking about returns from here on, then we can validly consider them to be stationary. - Linear Independence: They typically have little evidence of linear (autoregressive) dependence, especially at low frequency. - Non-normality: They are not normally distributed – they are fat-tailed. - Volatility pooling and asymmetries in volatility: The returns exhibit volatility clustering and leverage effects. Of these, we can allow for the non-stationarity within the linear (ARIMA) framework, and we can use whatever frequency of data we like to form the models, but we cannot hope to capture the other features using a linear model with Gaussian disturbances. (b) GARCH models are designed to capture the volatility clustering effects in the returns (GARCH(1,1) can model the dependence in the squared returns, or squared residuals), and they can also capture some of the unconditional leptokurtosis, so that even if the residuals of a linear model of the form given by the first part of the equation in part (e)...

Words: 1541 - Pages: 7

Premium Essay

Fin 534 Tutor Inspiring Minds/Fin534Tutor.Com

... FOR MORE CLASSES VISIT www.fin534tutor.com FIN 534 Week 1 Chapter 1 Solution FIN 534 Week 1 Chapter 2 Solution FIN 534 Week 2 Chapter 3 Solution FIN 534 Week 3 Chapter 4 Solution FIN 534 Week 3 Chapter 5 Solution FIN 534 Week 4 Chapter 6 Solution FIN 534 Week 4 Chapter 7 Solution FIN 534 Week 5 Chapter 8 Solution FIN 534 Week 5 Chapter 9 Solution FIN 534 Week 6 Chapter 10 Solution FIN 534 Week 6 Chapter 11 Solution FIN 534 Week 7 Chapter 12 Solution FIN 534 Week 7 Chapter 13 Solution FIN 534 Week 8 Chapter 14 Solution FIN 534 Week 8 Chapter 15 Solution FIN 534 Week 9 Chapter 16 Solution FIN 534 Week 10 Chapter 17 Solution Fin 534 Week 1 Quiz 1 FIN 534 Week 3 Quiz 2 FIN 534 Week 4 Quiz 3 FIN 534 Week 5 Quiz 4 FIN 536 Week 6 Quiz 5 FIN 534 Week 7 Quiz 6 FIN 534 Week 8 Quiz 7 FIN 534 Week 9 Quiz 8 FIN 534 Week 10 Quiz 9 FIN 534 Week 11 Quiz 10 FIN 534 Week 1 DQ 1 FIN 534 Week 1 DQ 2 FIN 534 Week 2 DQ 1 FIN 534 Week 2 DQ 2 FIN 534 Week 3 DQ 1 FIN 534 Week 3 DQ 2 FIN 534 Week 4 DQ 1 FIN 534 Week 4 DQ 2 FIN 534 Week 5 DQ 1 FIN 534 Week 6 DQ 1 FIN 534 Week 7 DQ 1 FIN 534 Week 7 DQ 2 FIN 534 Week 8 DQ 1 FIN 534 Week 8 DQ 2 FIN 534 Week 9 DQ 1 FIN 534 Week 9 DQ 2 FIN 534 Week 10 DQ 1 FIN 534 Week 10 DQ 2 FIN 534 Week 11 DQ 1 FIN 534 Week 11 DQ 2 ------------------------------------------------------------------------------------ FIN 534 Week 1 Chapter 1 Solution (Str Course) FOR MORE CLASSES VISIT www.fin534tutor.com 1. Which...

Words: 1501 - Pages: 7

Premium Essay

Bus 300 Complete Class

...300 Quizzes Week 1-11 Solution All possible questions with answers BUS 300 Week 2 Quiz 1: Chapters 1 and 2 BUS 300 Week 3 Quiz 2: Chapters 3 and 4 BUS 300 Week 4 Quiz 3: Chapters 5 and 6 BUS 300 Week 5 Quiz 4: Chapters 7 and 8 BUS 300 Week 6 Quiz 5: Chapters 9 and 10 BUS 300 Week 7 Quiz 6: Chapters 11 and 12 BUS 300 Week 8 Quiz 7: Chapters 13 and 14 BUS 300 Week 9 Quiz 8: Chapters 15 and 16 BUS 300 Week 10 Quiz 9: Chapters 17 and 18 BUS 300 Week 11 Quiz 10: Chapter 19 BUS 300 Quizzes Week 1-11 Solution All possible questions with answers BUS 300 Week 2 Quiz 1: Chapters 1 and 2 BUS 300 Week 3 Quiz 2: Chapters 3 and 4 BUS 300 Week 4 Quiz 3: Chapters 5 and 6 BUS 300 Week 5 Quiz 4: Chapters 7 and 8 BUS 300 Week 6 Quiz 5: Chapters 9 and 10 BUS 300 Week 7 Quiz 6: Chapters 11 and 12 BUS 300 Week 8 Quiz 7: Chapters 13 and 14 BUS 300 Week 9 Quiz 8: Chapters 15 and 16 BUS 300 Week 10 Quiz 9: Chapters 17 and 18 BUS 300 Week 11 Quiz 10: Chapter 19 BUS 300 Quizzes Week 1-11 Solution All possible questions with answers BUS 300 Week 2 Quiz 1: Chapters 1 and 2 BUS 300 Week 3 Quiz 2: Chapters 3 and 4 BUS 300 Week 4 Quiz 3: Chapters 5 and 6 BUS 300 Week 5 Quiz 4: Chapters 7 and 8 BUS 300 Week 6 Quiz 5: Chapters 9 and 10 BUS 300 Week 7 Quiz 6: Chapters 11 and 12 BUS 300 Week 8 Quiz 7: Chapters 13 and 14 BUS 300 Week 9 Quiz 8: Chapters 15 and 16 BUS 300 Week 10 Quiz 9: Chapters 17 and 18 BUS 300...

Words: 459 - Pages: 2

Premium Essay

Circuits

...Chapter 5, Problem 1. The equivalent model of a certain op amp is shown in Fig. 5.43. Determine: (a) the input resistance. (b) the output resistance. (c) the voltage gain in dB. 8x104vd Figure 5.43 for Prob. 5.1 Chapter 5, Solution 1. (a) (b) (c) Rin = 1.5 MΩ Rout = 60 Ω A = 8x104 Therefore AdB = 20 log 8x104 = 98.0 dB Chapter 5, Problem 2 The open-loop gain of an op amp is 100,000. Calculate the output voltage when there are inputs of +10 µV on the inverting terminal and + 20 µV on the noninverting terminal. Chapter 5, Solution 2. v0 = Avd = A(v2 - v1) = 105 (20-10) x 10-6 = 1V PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission. Chapter 5, Problem 3 Determine the output voltage when .20 µV is applied to the inverting terminal of an op amp and +30 µV to its noninverting terminal. Assume that the op amp has an open-loop gain of 200,000. Chapter 5, Solution 3. v0 = Avd = A(v2 - v1) = 2 x 105 (30 + 20) x 10-6 = 10V Chapter 5, Problem 4 The output voltage of an op amp is .4 V when the noninverting input is 1 mV. If the open-loop gain of the op amp is 2 × 106, what is the inverting...

Words: 6920 - Pages: 28

Premium Essay

Management

...Organizational Behavior SYLLABUS FALL 2012 Mondays 6:00pm-8:45pm 102 GORE HALL Instructor: Meg Reno Email: mreno86@aol.com Phone: 302-598-9878 (c) 302-475-4196 (h) The following details how the course will be taught and what will be expected of each student. Required Texts Management and Organizational Behavior, Custom Edition for University of Delaware, Pearson, Course Pak McGraw ISBN-10 1121130593 CHANGE THIS Order online: www.mcgrawhillcreate.com/shop  Course Description The course will focus on individuals and groups in organizations. We will discuss the concepts of diversity, corporate culture, personality, motivation, power, conflict, communication and group behavior, etc. Each unit will give you the theory and the skills to better understand yourself and others. In addition, you will grasp the impact of people strategies on organizational effectiveness and tools/techniques to support team effectiveness and help people reach maximum potential. Course Objectives The following course objectives will be achieved by the end of the term. Each student will: • Understand the environmental context in which organizational change takes place. • Comprehend the issues relevant to individual and group behavior in organizations. • Understand the people strategies involved in effective management practices. • Describe the organizational issues and possible solutions. Each student should take responsibility for achieving course...

Words: 1357 - Pages: 6

Free Essay

Calculus

...Chapter 3, Problem 1. Determine Ix in the circuit shown in Fig. 3.50 using nodal analysis. 1 kΩ Ix 9V + _ 2 kΩ + _ 6V 4 kΩ Figure 3.50 For Prob. 3.1. Chapter 3, Solution 1 Let Vx be the voltage at the node between 1-kΩ and 4-kΩ resistors. 9 − Vx 6 − Vx Vk + = 1k 4k 2k Vx Ix = = 3 mA 2k ⎯⎯ Vx = 6 → PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission. Chapter 3, Problem 2. For the circuit in Fig. 3.51, obtain v1 and v2. Figure 3.51 Chapter 3, Solution 2 At node 1, − v1 v1 v − v2 − = 6+ 1 10 5 2 At node 2, 60 = - 8v1 + 5v2 (1) v2 v − v2 = 3+ 6+ 1 4 2 Solving (1) and (2), v1 = 0 V, v2 = 12 V 36 = - 2v1 + 3v2 (2) PROPRIETARY MATERIAL. © 2007 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission. Chapter...

Words: 19454 - Pages: 78

Free Essay

Computer Architecture

...Solution* for Chapter 1 Exercise* Solutions for Chapter 1 Exercises 1.1 5, CPU 1.2 1, abstraction 1.3 3, bit 1.4 8, computer family 1.5 19, memory 1.6 10, datapath 1.7 9, control 1.8 11, desktop (personal computer) 1.9 15, embedded system 1.10 22, server 1.11 18, LAN 1.12 27, WAN 1.13 23, supercomputer 1.14 14, DRAM 1.15 13, defect 1.16 6, chip 1.17 24, transistor 1.18 12, DVD 1.19 28, yield 1.20 2, assembler 1.21 20, operating system 1.22 7, compiler 1.23 25, VLSI 1.24 16, instruction 1.25 4, cache • 1.26 17, instruction set architecture Solutions for Chapter 1 Exercises 1.27 21, semiconductor 1.28 26, wafer 1.29 i 1.30 b 1.31 e 1.32 i 1.33 h 1.34 d 1.35 f 1.36 b 1.37 c 1.38 f 1.39 d 1.40 a 1.41 c 1.42 i 1.43 e 1.44 g 1.45 a 1.46 Magnetic disk: Time for 1/2 revolution =1/2 rev x 1/7200 minutes/rev X 60 seconds/ minutes 3 4.17 ms Time for 1/2 revolution = 1/2 rev x 1/10,000 minutes/rev X 60 seconds/ minutes = 3 ms Bytes on center circle = 1.35 MB/seconds X 1/1600 minutes/rev x 60 seconds/minutes = 50.6 KB Bytes on outside circle = 1.35 MB/seconds X 1/570 minutes/rev X 60 seconds/minutes = 142.1 KB 1.48 Total requests bandwidth = 30 requests/sec X 512 Kbit/request = 15,360 Kbit/sec < 100 Mbit/sec. Therefore, a 100 Mbit Ethernet link will be sufficient. Solution* for Chapter X Exarclsm 1.49 Possible solutions: Ethernet, IEEE 802.3, twisted pair cable, 10/100 Mbit Wireless Ethernet, IEEE 802.1 lb, no medium...

Words: 3285 - Pages: 14

Premium Essay

Finance

...Solutions to Case Problems Manual to Accompany An Introduction To Management Science Quantitative Approaches To Decision Making Twelfth Edition David R. Anderson University of Cincinnati Dennis J. Sweeney University of Cincinnati Thomas A. Williams Rochester Institute of Technology R. Kipp Martin University of Chicago South-Western Cincinnati, Ohio Contents Preface Chapter 1: Introduction ♦ Scheduling a Golf League Chapter 2: An Introduction to Linear Programming ♦ Workload Balancing ♦ Production Strategy ♦ Hart Venture Capital Chapter 3: Linear Programming: Sensitivity Analysis and Interpretation of Solution ♦ Product Mix ♦ Investment Strategy ♦ Truck Leasing Strategy Chapter 4: Linear Programming Applications in Marketing, Finance and Operations Management ♦ Planning an Advertising Campaign ♦ Phoenix Computer ♦ Textile Mill Scheduling ♦ Workforce Scheduling ♦ Duke Energy Coal Allocation Chapter 6: Distribution and Network Models ♦ Solution Plus ♦ Distribution Systems Design Chapter 7: Integer Linear Programming ♦ Textbook Publishing ♦ Yeager National Bank ♦ Production Scheduling with Changeover Costs Chapter 8: Nonlinear Optimization Models ♦ Portfolio Optimization with Transaction Costs Chapter 9: Project Scheduling: PERT/CPM ♦ R.C. Coleman Chapter 10: Inventory Models ♦ Wagner Fabricating Company ♦ River City Fire Department Chapter 11: Waiting Line Models ♦ Regional Airlines ♦ Office Equipment, Inc. Chapter 12: Simulation ♦ Tri-State Corporation...

Words: 5633 - Pages: 23

Premium Essay

Olala

...energy efficiency. 4. To know that we measure energy only through change, such as with a calorimeter. 5. To use potential energy diagrams to represent changes that take place in reactions 6. To use the terms endothermic and exothermic to describe the entry or exit of heat from chemical systems (and that the opposite change must take place in the surroundings). 7. To know that energy changes in reactions come from changes in chemical bonds, and how they can be estimated from differences in bond energies of bonds broken vs. formed. 8. To express and interpret these changes in potential energy diagrams and apply these skills to the combustion of fuels. 9. To view and describe recent trends in energy source utilization. 10. To give specific details on the composition of coal and its impacts on environmental quality. Assignments: Read §4.1 – 4.5. Recommended exercises: From the above sections, all in-chapter “Your Turn” exercises, and chapter-end problems selected from #1 – 18, 24 - 29 4/30 Outcomes: 1. To describe petroleum as a mixture of hydrocarbons, and how they are separated industrially. 2. To distinguish alkanes from other types of hydrocarbons. 3. To draw examples of straight-chain and branched alkanes and give...

Words: 1442 - Pages: 6

Premium Essay

Inter

...To download more slides, ebooks, solution manual and test bank, visit http://downloadslide.blogspot.com Solutions Manual COST ACCOUNTING © 2012 Pearson Education, Inc. Publishing as Prentice Hall. SM Cost Accounting 14/e by Horngren © 2012 Pearson Education, Inc. Publishing as Prentice Hall. SM Cost Accounting 14/e by Horngren To download more slides, ebooks, solution manual and test bank, visit http://downloadslide.blogspot.com Solutions Manual COST ACCOUNTING Fourteenth Edition Charles T. Horngren Srikant M. Datar Madhav Rajan Upper Saddle River, NJ 07458 © 2012 Pearson Education, Inc. Publishing as Prentice Hall © 2012 Pearson Education, Inc. Publishing as Prentice Hall. SM Cost Accounting 14/e by Horngren This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning. Dissemination or sale of any part of this work (including on the World Wide Web) will destroy the integrity of the work and is not permitted. The work and materials from it should never be made available to students except by instructors using the accompanying text in their classes. All recipients of this work are expected to abide by these restrictions and to honor the intended pedagogical purposes and the needs of other instructors who rely on these materials. Acquisition Editor: Stephanie Wall Editorial Project Manager: Christina Rumbaugh Editorial Assistant: Brian Reilly Project Manager, Production:...

Words: 10664 - Pages: 43

Premium Essay

Afsadfsafsfasdfasdf

...when the updated ProFile software is available in January, 2009 A “Guide to Using Your Student CD-ROM" How To Work Through Chapter One We recommend the following approach in dealing with the material in this chapter: The Canadian Tax System r Read the text pages 1 - 3 (paragraph 1-1 through 1-11). r Complete Exercise One-1 on page 3 of the text. The solution is on page S-3 of this Study Guide. All solutions to Exercises and Self Study Problems and Cases can be found in this Study Guide and the page numbers all start with the prefix S-. Read the text pages 3 - 4 (paragraph 1-12 through 1-16). Complete Exercise One-2 on page 4 of the text. The solution is on page S-3. Read the text pages 4 - 5 (paragraph 1-17 through 1-22). r r r Tax Policy Concepts r Read the text pages 5 - 6 (paragraph 1-23 through 1-25). r r r r Complete Exercise One-3 on page 6 of the text. The solution is on page S-3. Complete Self Study Problem One-1 on page 30 of the text. The solution is on page S-4. Read the text pages 6 - 7 (paragraph 1-26 through 1-31). Complete Self Study Problem One-2 on page 30 of the text. The solution is on page S-4. Canadian Tax Principles 2008/2009 - Study Guide S-1 How To Work Through Chapter One r r Read the text pages 7 - 10 (paragraph 1-32 through 1-40). Complete Self Study Problem One-3 on page 30 of the text. The solution is on pages S-4 and S-5. Income Tax Reference...

Words: 109055 - Pages: 437

Free Essay

Your Mum

...base number showing how many times this number is multiplied by itself e.g. 2 3 = 2 # 2 # 2. The index is 3 Indices: More than one index (plural) Recurring decimal: A repeating decimal that does not terminate e.g. 0.777777 … is a recurring decimal that can be written as a fraction. More than one digit can recur e.g. 0.14141414 ... Scientific notation: Sometimes called standard notation. A standard form to write very large or very small numbers as a product of a number between 1 and 10 and a power of 10 e.g. 765 000 000 is 7.65 # 10 8 in scientific notation Chapter 1 Basic Arithmetic 3 INTRODUCTION THIS CHAPTER GIVES A review of basic arithmetic skills, including knowing the correct order of operations, rounding off, and working with fractions, decimals and percentages. Work on significant figures, scientific notation and indices is also included, as are the concepts of absolute values. Basic calculator skills are also covered in this chapter. Real Numbers Types of numbers Unreal or imaginary numbers Real numbers Rational numbers Irrational numbers Integers Integers are whole numbers that may be positive, negative or zero. e.g. - 4, 7, 0, -11 a Rational numbers can be written in the form of a fraction b • 3 where a and b are integers, b ! 0. e.g. 1 , 3.7, 0. 5, - 5 4 a Irrational numbers cannot be written in the form of a fraction (that b is, they are not rational) e.g. 2 , r EXAMPLE Which of these numbers are rational and which are irrational? •...

Words: 9335 - Pages: 38