VUsing Parentheses in Calculations, 456 75 × 18.5, 30 x | HP 17bII

In the second case, the /key acts like the =key by displaying the result of 750 x 12.

Here’s a longer chain calculation.

456 - 75 × 68

18.5 1.9

This calculation can be written as: 456 − 75 ÷ 18.5 x 68 ÷ 1.9. Watch what happens in the display as you key it in:

Keys:	Display:
456 -75 /	%*#&((D"
18.5 *	$(&.,B"
68 /	#K+((&+%D"

1.9= -%-&(-"

vUsing Parentheses in Calculations

Use parentheses when you want to postpone calculating an intermediate result until you’ve entered more numbers. For example, suppose you want to calculate:

30x 9

85 -12

If you were to key in 30 /85 -, the calculator would calculate the intermediate result, 0.35. However, that’s not what you want. To de- lay the division until you’ve subtracted 12 from 85, use parentheses:

Keys:	Display:	Description:
30 /(85-	%(&((DL*.&((/"	No calculation is done.
12 )	%(&((D-%&(("	Calculates 85 − 12.
*9	(&+#B,"	Calculates 30 / 73.
=	%&-("	Calculates 0.41x 9.

2: Arithmetic 39

File name : 17BII-Plus-Manual-E-PRINT-030709

Print data : 2003/7/11

Image 39

HP 17bII manual VUsing Parentheses in Calculations, 456 75 × 18.5, Keys Display, 30 x, Arithmetic

Contents

HP 17bII+ Financial Calculator Edition June Printing History Welcome to the hp17bII+ Welcome to the HP 17bII+ Contents Saving and Reusing Numbers Error MessagesUsing Parentheses in Calculations Power Function Exponentiation Time Value of Money Interest Rate ConversionsCash Flow Calculations 11 141 Time, Appointments, and Date Arithmetic BondsDepreciation 10 121 Running Total and Statistics 12 153 The Equation Solver 14 190 Additional Examples More About Calculations Assistance, Batteries, Memory, and Service RPN The Stack Menu Maps RPN Summary RPN Selected Examples Error Messages Index Currency Exchange Calculations List of ExamplesList of Examples General Business Calculations Interest Rate Conversions Running Total and Statistical Calculations Time, Alarms, and Date ArithmeticHow to Use the Equation Solver Bonds and Notes Important Information Important Information Getting Started Power On and Off Continuous MemoryAdjusting the Display Contrast Getting Started 18 1 Getting Started Setting the LanguageWhat You See in the Display Keys for language Key Description Backspacing and Clearing Shift Key @ Keys for Clearing Keys Display Description20 1 Getting Started KeysDisplayDescription Doing Arithmetic Using the Menu Keys Keying in Negative Numbers22 1 Getting Started Menu Labels Menu Keys Main Menu 24 1 Getting Started Main Menu Menu Label Operations Done Covered This Category Choosing Menus and Reading Menu Maps Using the MU%C menu 26 1 Getting StartedDisplaying the MU%C menu Calculations Using Menus Exiting Menus e Clearing Values in Menus28 1 Getting Started = Cost Solving Your Own Equations Solve 30 1 Getting Started Typing Words and Characters the ALPHAbetic Menu Characters Editing ALPHAbetic TextKeys 34 5? 32 1 Getting Started Calculating the Answer CalcAlphabetic Editing Operation Label or Key to Press Keyboard Menu for carpeting Temporarily SHOWing ALL Controlling the Display FormatDecimal Places Internal Precision Exchanging Periods and Commas in Numbers Rounding a Number Error Messages Modes36 1 Getting Started Memory still free Calculator Memory @M 38 2 Arithmetic ArithmeticCalculator Line VDoing Calculations 30 x VUsing Parentheses in Calculations456 75 × 18.5 Keys Display VThe Percent Key Mathematical Functions40 2 Arithmetic VThe Power Function Exponentiation Shifted Math FunctionsKey 42 2 Arithmetic Math MenuMath Menu Labels KeysDisplay Description History Stack of Numbers Saving and Reusing Numbers VReusing the Last Result @L VKeys Display44 2 Arithmetic Storing and Recalling Numbers 475.6 560.1 + 39.15VKeys Display Description Keys New Register Contents Doing Arithmetic Inside Registers and VariablesArithmetic in Registers Scientific Notation 48 2 Arithmetic Range of Numbers Percentage Calculations in Business Percentage Calculations BusinessBusiness Percentages BUS Menus Menu Description 50 3 Percentage Calculations in Business Using the BUS MenusExamples Using the BUS Menus Percent Change %CHG Percent of Total %TOTL Markup as a Percent of Cost MU%C Markup as a Percent of Price MU%P52 3 Percentage Calculations in Business Cost Price M%C Cost Price M%P Sharing Variables Between Menus Currency Exchange Calculations Currx Menu54 4 Currency Exchange Calculation Selecting a Set of Currencies Currx MenuCurrency Exchange Calculation Currencies United States Conversion Chart in US$ Entering a RateCurrency Rate 58 4 Currency Exchange Calculation Select CAN$ as currencySelect HK$ as currency Converting Between Two Currencies Storing and Recalling Sets of CurrenciesExample Converting between Hong Kong and U.S Dollars 60 4 Currency Exchange Calculation Clearing the Currency Variables Time Value of Money TVM MenuTime Value of Money Second Level of TVM First Level of TVM TVM Menu Labels Menu Label Description First LevelSecond Level 64 5 Time Value of Money Cash Flow Diagrams and Signs of Numbers PMT 66 5 Time Value of Money Using the TVM Menu Loan Calculations Figures and stores number 68 5 Time Value of Money 11.5 Figures and stores 70 5 Time Value of Money 000 Savings Calculations 72 5 Time Value of Money 15X 12X 359 360 74 5 Time Value of Money Leasing Calculations @28#+ 76 5 Time Value of Money Amortization Amrt 78 5 Time Value of Money Displaying an Amortization ScheduleAmrt Menu Labels Label Number of payments Next successive set of payments authorized 80 5 Time Value of Money Printing an Amortization Table Table 82 5 Time Value of Money 508 /,%&-$ GO8 84 6 Interest Rate Conversions Interest Rate Conversions Icnv Menu Converting Interest RatesInterest Rate Conversions 86 6 Interest Rate Conversions Compounding Periods Different from Payment Periods 88 6 Interest Rate Conversions Per year 90 6 Interest Rate Conversions Cash Flow Calculations Cflo menuCash Flow Calculations 92 7 Cash Flow Calculations Cflo Menu Labels Cash Flows Ungrouped 94 7 Cash Flow Calculations Creating a Cash-Flow List For grouped cash flows The display now shows Entering Cash Flows 96 7 Cash Flow Calculations Prompting for #TIMES #T?. When the calculator displays EGG Viewing and Correcting the List Deleting Cash Flows from a List. Pressing ndeletes both Copying a Number from a List to the Calculator LineNaming and Renaming a Cash-Flow List 98 7 Cash Flow Calculations Clearing a Cash-Flow List and Its Name Starting or GETting Another ListViewing the Name of the Current List. Press o, then e 100 7 Cash Flow Calculations Cash-Flow Calculations IRR, NPV, NUS, NFV Calc Menu for Cflo Lists Menu Label 115,000 500 102 7 Cash Flow Calculations G9ECL#T8U 104 7 Cash Flow Calculations Group Number Amount G9ECL.T8U 50 50 50 106 7 Cash Flow Calculations Doing Other Calculations with Cflo Data Bonds Bond Menu108 8 Bonds Bond Menu Labels Menu Description LabelBonds Doing Bond Calculations 110 8 BondsTo calculate the price or yield of a bond Since there is no call on 112 8 Bonds MM.DDYYYY format Depreciation Deprc Menu114 9 Depreciation Depreciation Deprc Menu Labels To calculate the depreciation for an asset Doing Depreciation CalculationsDB, SOYD, and SL Methods 116 9 Depreciation Basis Salv 4,000 KeysDisplay Acrs Method Year Percentage Deductible Keys Display Description118 9 Depreciation Partial-Year Depreciation 120 9 Depreciation Calendar Year Depreciation Value Running Total and Statistics Running Total and Statistics SUM Menu SUM Menu Labels122 10 Running Total and Statistics Entering Numbers and Viewing the Total Creating a SUM List 124 10 Running Total and Statistics Date Amount DateTransaction 126 10 Running Total and Statistics Naming and Renaming a SUM List Doing Statistical Calculations Calc Clearing a SUM List and Its Name Calculations with One Variable Calc Menu for SUM Lists Menu Key128 10 Running Total and Statistics Expense Month Phone 130 10 Running Total and Statistics Calculations with Two Variables Frcst Calc Total 132 10 Running Total and Statistics Frcst Menu Labels Logarithmic Curve Fit Curve Fitting and Forecasting To do curve fitting and forecasting 134 10 Running Total and Statistics Radio Dollar Sales Advertising Values Number of Minutes Minutes 136 10 Running Total and Statistics Minutes 138 10 Running Total and Statistics Weighted Mean and Grouped Standard Deviation Summation Statistics 140 10 Running Total and Statistics Doing Other Calculations with SUM Data Time, Appointments, Date Arithmetic Viewing the Time and DateTime, Appointments, and Date Arithmetic 142 11 Time, Appointments, and Date Arithmetic Time MenuTime Menu Labels Menu Label Description To set the date Setting the Time and Date SETSET Menu Labels Or DD.MMYYYY Adjusting the Clock Setting Adjst Changing the Time and Date Formats SET144 11 Time, Appointments, and Date Arithmetic Viewing or Setting an Appointment APT1-APT10 Menu Labels for Setting Appointments DescriptionAppointments Appt To set an appointment or view its current setting 146 11 Time, Appointments, and Date ArithmeticAppointment message optional To set, change, or just view a Acknowledging an Appointment To acknowledge a past-due appointment Unacknowledged AppointmentsClearing Appointments 148 11 Time, Appointments, and Date Arithmetic Date Arithmetic Calc 150 11 Time, Appointments, and Date Arithmetic Determining the Day of the Week for Any DateCalculating the Number of Days between Dates Calc Menu Labels for Date Arithmetic Calculating Past or Future Dates DATE2 152 11 Time, Appointments, and Date Arithmetic Equation Solver Solver Example Sales ForecastsEquation Solver Next =OLD 154 12 The Equation Solver Menu Label Display Description Solve Menu 156 12 The Equation SolverKeys Entering Equations Solve Menu LabelsTo make an entry into the Solver list Calculating Using Solver Menus Calc To do a calculation using a Solver menu158 12 The Equation Solver Rmenu label Eqty 160 12 The Equation Solver Naming an Equation Editing an Equation Edit 162 12 The Equation Solver Finding an Equation in the Solver ListShared Variables Clearing Variables Deleting a variable is quite different from clearing it Deleting Variables and Equations 164 12 The Equation Solver Writing EquationsDeleting One Equation or Its Variables Delet Deleting All Equations or All Variables in the Solver @c 100 × C Could be entered as× E 166 12 The Equation Solver What Can Appear in an Equation Using the Alpha Menu Using a Typing Aid Solver Functions168 12 The Equation Solver DDAYSd1d2cal Solver Functions for Equations Description ITEMSUM-listnameitem# 170 12 The Equation SolverHH.MMSS format IFcond expr 1 expr #TCFLO-listnameflow# Σcfr c 1 c 2 s exprSIZECCFLO-listname SIZESSUM-listname 172 12 The Equation Solver Days 174 12 The Equation Solver Conditional Expressions with ifOperatorKeys ≥ ³= Examples of Conditional Equations VALUE＝FIRST＋1 ÷ FIRST. If FIRST＝0, then VALUE＝FIRSTRating Percent Salary Increase Summation Function ∑ 176 12 The Equation SolverHC8E9AL#GL28#I&%IGL28$I&I&#TTT Accessing Cflo and SUM Lists from the Solver 178 12 The Equation Solver Creating Menus for Multiple Equations S Function How the Solver Works 180 12 The Equation Solver Halting and Restarting the Iterative Search Entering Guesses 52EG8527H Y@/O127EF Y@/GX7EF Keys 182 12 The Equation Solver @I$&/Solves for QTY iteratively 184 13 Printing Printing Printing Printer’s Power SourceDouble Space Printing Printing the DisplayP 186 13 Printing Printing Other Information @pPrinting Variables, Lists, and Appointments List Printer Menu Labels Except IRR%. Instead, press tPto print the value for IRR% Printing Descriptive Messages MSG Trace Printing Trace188 13 Printing KeysPrint-out How to Interrupt the Printer 190 14 Additional Examples Additional ExamplesLoans Simple Annual Interest Additional Examples Yield of a Discounted or Premium Mortgage Figures and stores total 192 14 Additional Examples See appendix F for RPN keystrokes for the next two examples Annual Percentage Rate for a Loan with Fees 194 14 Additional Examples Loan with an Odd Partial First Period @c e Solver Equation for Odd-Period Calculations 196 14 Additional Examples Canadian Mortgages Solver Equation for Canadian Mortgages 198 14 Additional Examples Solver Equation for Advance Payments Advance Payments Leasing Savings Value of a Fund with Regular Withdrawals200 14 Additional Examples Displays periodic 202 14 Additional Examples Deposits Needed for a Child’s College Account Additional Examples 204 14 Additional Examples Flow of Withdrawals For FLOW1 206 14 Additional Examples Value of a Tax-Free Account # 5?@2 JH= 0EAH 208 14 Additional Examples Value of a Taxable Retirement Account Modified Internal Rate of Return Group No. of Months Cash Flow, $ Flow no 210 14 Additional Examples 100000 V8 /12 200000 V13 /12212 14 Additional Examples Solver Equation for Insurance Price Price of an Insurance Policy 214 14 Additional Examples Bonds 216 14 Additional Examples Discounted Notes Moving Average Statistics Solver Equation for Moving Averages 218 14 Additional Examples If necessary Chi-Squared χ2 Statistics If the expected values vary 220 14 Additional Examples Keystroke Display Description NumberUse Obtaining Help in Operating the Calculator Assistance, Batteries Memory, and ServiceAssistance, Batteries, Memory, and Service Answers to Common Questions Assistance, Batteries, Memory, and Service Power and Batteries Low-Power IndicationsDo not use rechargeable batteries Installing Batteries Assistance, Batteries, Memory, and Service Managing Calculator Memory Reset hole Resetting the Calculator For selecting English language For the other languages Erasing Continuous MemoryFor selecting the other languages For English language Determining If the Calculator Requires Service Clock AccuracyEnvironmental Limits Confirming Calculator Operation Self-Test If the calculator won’t turn onIf the calculator doesn’t respond to keystrokes Warranty Assistance, Batteries, Memory, and Service Europe Country Telephone numbers Regulatory information Asia Pacific Country Telephone numbersAmerica Country Telephone numbers Japan Canada More About Calculations More About CalculationsIRR% Calculations Possible Outcomes of Calculating IRR% Storing a Guess for IRR% Halting and Restarting the IRR% Calculation S T = P R I C E － P R O F I T Direct SolutionsSolver Calculations O F I T = P R I C E － C O S T ＝ a R E a ÷ W E a ＝L x W Iterative Solutions Case 1a Case 1b Is exactly Is not exactly More About Calculations J1A =4HFFHFI 100  Equations Used by Built-in MenusActuarial Functions  － n Percentage Calculations in Business BUS Time Value of Money TVMAmortization NPV ＝ CF0 + ∑CFj x Uspv i% nj x Sppv i% Nj Interest Rate ConversionsCash-Flow Calculations NOM %  P NUS ＝ Uspv i% N Total ＝ ∑nj × CFj Bond Calculations DB ＝ Basis × Fact % /100 Depreciation Calculations Sum and Statistics ForecastingModel Transformation PV = − PMT Equations Used in ChapterSXY = Σ SX 2 × SY Odd-Period Calculations Advance PaymentsModified Internal Rate of Return Menu Maps Menu Maps Figure C-2. Currx Menu Figure C-3. FIN Menu Figure C-3 . FIN Menu Figure C-4. SUM Menu Figure C-5. Time Menu Figure C-6. Solve Menu RPN Summary RPN SummaryAbout RPN About RPN on the HP 17bII+ To select RPN mode Press @ Setting RPN Mode Same as Where the RPN Functions AreFunction Definition Key to Use Name ~ same as Arithmetic Topics Affected by RPN Mode Doing Calculations in RPNSimple Arithmetic To Calculate Press Display 27 % RPN Mode ALG Mode Calculations with STO and RCLChain Calculations－No Parentheses + 5 E 6 + RPN The Stack What the Stack IsRPN The Stack Exchanging the X- and Y-Registers in the Stack Reviewing the Stack Roll Down Arithmetic－How the Stack Does It ＋ 6 ： How Enter Works Clearing Numbers Reusing Numbers Last X RegisterRetrieving Numbers from Last Chain Calculations Exercises Solution 23 @w13 E9 *-7@t+ RPN Selected Examples RPN Selected Examples RPN Selected Examples #$ 5?@2 HA 0EAH 10 @ Stores total number Payments 1000000 E #TIMES1 for FLOW1 For E, press =, not I11 I G9ECLT8U # 5?@2 JH= # 5?@2 JH= Begin mode Error Messages Error Messages H22E2I EOH2G9EC Error Messages Error Messages EOH2G9EC Error Messages 143 2, 42 -,150 Index#Special Characters Index 147 169 166 56 ›, 132 a, 78 Z 156 74-75 =, F 31-32 174-7685-87 115 ?, 32 ª, 150 «, 150 ¬ 145149 64 I 144162-64 116 133 181-83 138-39 168-71 72-73 213-15239 \, 143 N 132 k, 186 o, 42 3, 42 L132-34 132 , 109 +, 49, 53 6, 52, 128 ‘, 128 Memory. See also Continuous Memory 146143-44 101 w, 101 x, 101 /, 157 @, 56 B, 56 J, 56 4, 42 j 92-94175 56 5, 42 , 18 @p, 186 P 85-86 PMT. See also Payments in TVM, 63 rounded amortization80-81 115 146-47 Using56 Q, 56 l, 186 ¡ 128 176 243-46 171 148 178132 L 109 ‹, 115 M This regulation applies only to The Netherlands