HP 10s Scientific Calculator User's Guide Part Number: F2214-90001 First Edition: 01/2007 m
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Contents Notice............................................................................ 1 Using the Protective Case.................................................. 4 Safety Precautions................................................................. 4 Other Precautions.................................................................. 5 Two-Line Display.................................................................... 7 Preparing to Use the Calculator...................................... 7 Modes..
Variable M........................................................................18 Variables........................................................................... 18 Scientific Functions...............................................................19 Trigonometric and Inverse Trigonometric Functions......................................................................... 19 Hyperbolic and Inverse Hyperbolic Functions..........................................................................
Using the protective case Please do not slide the protective cose over the LCD. 1. Before use, slide the calculator out of the protective cose os shown below. 2. After use, slide the protective cose onto the calculator, os shown below. Safety Precautions Before using this calculator, please read the following safety precautions carefully. Keep this manual handy so that you can refer to it when needed.
Notice A This symbol indicates that there is a risk of injury or damage if the specified safety precautions are ignored. Battery 9 Keep battery out of the reach of children. If a battery is swallowed, seek urgent medical advice. • Do not charge, attempt to disassemble, short circuit, or apply heat to the battery. 9 When installing a new battery, orient it such that the positive sign is facing upwards. 9 Use only the battery specified in this manual.
when battery power is very low, the calculator's memory may become corrupt or be lost completely. To avoid loss of important information, keep o copy of it elsewhere. Avoid storing or using the extreme temperature conditions. calculator under Low temperature will slow the calculator's response time, cause the display to appear incomplete, and shorten the life of the battery. In addition, the calculator should not be directly exposed to the sun or placed near a heater.
Two-Line Display The calculator shows both the expression being calculated and the result of the calculation. These appear in a two-line display. • The expression being calculated is shown on the upper line. • The result is shown on the lower line. If the result has more than three digits, a separator appears before each group of three digits. Preparing to Use the Calculator ■ Modes Choose the appropriate mode before performing a calculation.
Notes To return the calculator to its default settings, as indicated below press[sm] ^ ^ (Mode) B in that order. The default settings are: Calculation mode : COMP Angle unit: Deg Exponent display format: Norml Fraction display: ab/c Decimal point character: Dot The mode indicator appears in the upper part of the display. Before calculating, check the current mode setting (COMP, REG or SD) and the angle unit (Deg, Rad or Grad).
Error Correction when Entering Press H or E to move the cursor to the position needed. Press H to delete the digit or function at the position of the cursor. Press the H ® keys to activate the insertion cursor []. Whatever you insert now will appear at the cursor's current position. Press the [wi] [¡ns] key to return the cursor to its normal functioning. Recalling a Previous Calculation Each calculation and its result is kept in memory. Press H to recall the previous calculation and its results.
■ Error Indicator • If an error occurs, press ^ or . The calculation reappears and the cursor is located where the error is. ■ Multi-statement A multi-statement is an expression consisting of two or more smaller expressions. The expressions are separated by a colon (:) ■ Exponent Display Format The calculator can display up to 10 digits. Values needing more than 10 digits will automatically be displayed in exponent notation. Two exponent formats are available.
■ Decimal Point and Separator The display setting (Disp) screen is used to specify the required decimal mark and the character to use before groups of three digits. To change these settings, press [j the settings screen appears. repeatedly until Disp 1 Press CD H to display the settings screen.
A negative exponent does not need to be in po rentheses. sin 4.56X 10 “ -► H 4.56 S [t>] 8 Example 1:3X(4X10'") = 1 . 2 X 1 0 ‘ 3D4SG3 7H Example 2: 2X(3+4)=14 2am3n4Ei You con omit the EG at the end of on expression if the next key you press is Q . Calculation with fractions A value is automatically displayed in decimal format if the total number of digits of the fraction (integer + numerator + denominator + semicolon) is greater than 10. Example 1: 3 + 5=^ 11 j15.
Converting between decimal and fractional display Example 1: 3.25=3— 3.251 (Decimal«—»Fraction) [ 3.25 3^1 j4. 13 j4. 0.2 Example 2: (Fraction« 1 ^5. Decimal) 1 S 5 I 0.2 1 j5. Converting between Mixed and Improper Fractions u Example : 4 2^3.,4. 2S3S4I IsiiiFfl Id^ 11 j4. IsiiiFfl Id^ 2 j3 j4. To change the fraction display format, press I repeatedly until the following screen appears.
Press CD to display the settings screen. Press the number key ( DO or [T] ) corresponding to the setting required: ГП (ab/c ) : Mixed fraction m ( d/c ) : Improper fraction If you choose the d/c display format and enter a mixed fraction, an error will occur.
Calculations Involving Degrees, Minutes and Seconds You can convert decimal numbers. between sexagesimal and Example 1: Convert the decimal number 1.234 to its sexagesimal equivalent and then back to a decimal number again. 1 . 2 3 4 1B \_ 1.2341 1 [sill r 14° 2.4 H I 1.2341 1 ’ 5 6 ” X7.89 1 2 H 34 H 56 H D 7.89 B n 99°16°25.44 1 FIX, SCI, RND To change the display format settings, press repeatedly until the screen below appears.
(Note that only the display precision gets fixed to 3 digits. The calculations are still performed with the complete number.) 100 B 3 I 33.333 □ 151 500.000 (Note that you can also force the calculator to round a number to the number of decimal places you have specified.) 100 B3 B I 33.333~l IshìftI M (Internally Rounded) □ 151 Pressisi 33.333 499.995 ■ (Norm) to cancel the settings. Example 2; 2-5-3 Display the result with two significant digits(Sci 2) H............. H (Sci) [T] 2B 3E SCI 6.
Calculations Involving the Memory To perform a calculation involving the memory, press [m] to enter COMP mode. COMP................................................................................... H □□ ■ Ans Memory B The Ans memory is updated with each new calculation when you press B . It is also updated when you press W B or [ajs] after a letter (A to F, or M, X, or Y). Pressing recalls the contents of the Ans memory. The Ans memory can only store one value at a time.
Variable M You can use the variable M to compute accumulated totals which can be put into the variable M directly, or they can also be added to or subtracted from the number stored in variable M. To clear the numerical values the separate variable M, p r e s s I s h W I |It^ Pm] (M+) 121 12+3=15 (Total) (M+) Ism] 45-6 = 39 - 38X2 = 76 45 B 6 H 38 Q 2 H H ® H (M+) -22 Variables There are 9 variables: A to F, M, X and Y.
Scientific Functions To perform a scientific function calculation, press ImeI to enter COMP mode. COMP................................................................................... ]□: Some scientific calculations may take longer than other types of calculations. You can start the next calculation after the calculation result displays on the screen . ;r = 3.
Hyperbolic and Inverse Hyperbolic Functions Example 1: sinh4.5=45.00301 115 @ [¡l!!] 4.5 B Example 2: cosh '60=4.787422291 I hr I I SHIFT I [cos'll 60 ^3 Common Logarithms, and Antilogarithms Natural Logarithms Example 1: logl .2=0.0791 81 246 H 1.2 B Example 2: In90(=log,90)=4.49980967 H90B Ine = 1 Example 3 : e ' ° =22026.46579 Qn] H ® B HSIOB Example 4:10^=31 6.227766 H S 2.5 B 2 H []3 5 B Example 5: 2'"=0.
Example 3: «/123 (=123'^)= 3.33024571 3 4 H H 123 B Example 4: 123+45^=2148 1 23 B 45 @ B Example 5: 54^=157464 54@ B Example 6: y—^=6 2 3 rn2r^P3ric^nn^B Example 7: 61=720 6 tUl] B Example 8: Generate a random number between 0 . O O O a n d O . 9 9 9 ___________________ 0.654 (The value shown above is just an example. A difierent random number is likely to be produced eoch time) ]® I Example 9: 2?r= 6.
Example: Change 2 . 3 4 radians to degrees. S.............. □□ (Deg) 2.34r 2.34 H S H (R) 134.0721241 Coordinate Systems (Pol ( x , y ) , R e c ( r , 9)) The result will be stored in variables E and F automatically. Example 1: Express the point defined by the polar coordinates ( r = 4, 6 = 30“ ) in rectangular coordinates { x , y ) . (Deg) 3C= 3.464101615 HH4Q30EH y=2 @H Press [M] S] to display the value of x or press to display the value of y.
Statistics ■ Standard Deviation-SD Press H to select SD mode for statistical calculations with standard deviations. SD.........................................................................................H H B In SD and REG modes, the @ key acts as the key. B Press the g ^ (Scl) B keys to erase the statistics memory before you enter data. B Press the following key to input data. B Input data to calculate n ,'S.x, , x , xo n , X o n-i.
Standard deviation of the population (x:on) = 1.316956719 Mean (3c) = 1 3.375 Number of data points(n) = 8 Sum of the data values [ x x ) = ^ 07 Sum of the squares of the data values (E x ^ ) = 1445 HHEI QQQ| WWI HHHI M W rn I Data Entry Hints • Press [d3 to enter the same data twice. • Press H Cl] to repeat the same data item several times. For example, press 1 00 М ГП 1 5 Грт] to enter the data value 100 15 times.
Press H to quit the data input operation without storing the entered data values. Alternatively, press GQ to clear the values but remain in data input mode. • Press [siiinl to cancel data input. • In SD or REG mode, you cannot display or edit data items once you change to another mode or choose a different regression type (Lin, Log, Exp, Pwr,lnv, Quad). Regression-REG Calculations involving regression mode. Press key to select REG mode. require REG REG.................................................
To display the result Press these keys i»ti imh m Sx Q^ n zy IsiiiFtl iHiiil Q Zy IsiiiFtl Issiiil rzi Zxy |»t| IhH rri X XO n Xo n-^ y yon Isiifl |M| [g □□ [Ml M rn MSH MSH M H H CD Ml |M| Ml M yon-} MSHH Regression coefficient A H H H H CD Regression coefficient B H H H H H With non quadratic regression types: Regression coefficient r H H H H E Sc HHHHHE y HHHHHE • To display quadratic regression calculation results , use the following syntax and keys.
Linear Regression The formula for linear regression is i/=A+Bx Example: The relationship between atmospheric pressure and air temperature is given in the following table: The following explains how to Ai? Atmosphericcalculate the coefficients of the TemperaturePressure regression formula and how the ЮЪ 1 0 0 3 h P a formula con then be used to determine air temperature at a 1513 1 0 0 5 h P a particular pressure (lOOOhPa) 2013 1 0 1 0 h P a and the air pressure at a particular temperature ( — 5 t : ) .
Logarithmic, Exponential, Mathematical Power and Inverse Regression Use these regression types in the same way that you use linear regression (see above). The corresponding regression formulas ore: Logarithmic regression y=A+B • Inx Exponential regression y=A- e“'*(lny=lnA+Bx) Mathematical Power Regression y= A • X ® ( I n y =lnA+B Inx) Inverse regression y=A+B.
Estimated value af 5c2=l 75.5872105 when y i = 20 Data Entry Hints # Press • Press H CiD to enter the same data several times. For example, pressing 30 Q 40 [US CS 5 [Sl] enters the data p a i r { 3 0 , 4 0 } 5 t i m e s . to enter the same data twice. 9 The same data entry hints noted lor Standard Deviation mode (see earlier) also apply in Regression mode. 9 When carrying out statistical calculations, do not store any data in variables A to F, X or Y.
■ Error Messages If an error message occurs, the calculator stops running immediately. Press® to clear the error message, or press® or Bto redisplay the calculation so that you can correct it. Math ERROR_______________________________________ Causes elhe result exceeds the calculator's computational range. *You tried to enter a value that exceeds the calculator's input range. •The operation requested is not mathematically valid (for example, dividing byO).
Input Range Functions sinx cosa: Input Range DEG OS |x|s4.499999999x 10'° RAD 0s|a:|s785398163.3 GRA OS WS4.999999999X 10'° DEG 0sWs4.500000008xl0'° RAD 0s|a:|s785398164.9 GRA OS |x| S4.9999999999X 10'° DEG Same as sinx, except when |x|= (2n-l)X90 Same as sinx, except when tanx sin“'x GRA |x|= (2n-l)X RAD Same as sinx, except when 1x1= (2n-l)X100 0s|x;|sl cos“'x tan'x sinhx 0s|x|s9.999999999xl0” OS |x:|s 230.2585092 coshx sinh 'x cosh'x tanhx Os 1x1 s4.999999999X10” isx: S4.
\/ X W<1X10'°°; ;c7^0 n |x|
"it Each operation is accurate to ± 1 in the 10th digit. However, calculations involving multiple operations will cause the error to accumulate. This is also observed with internal calculations involving multiple operations such as 3fy, x!, ]f~, nPr, nCr and the like. Note that the error may be greater near an inflection point of a function.
X , -h I In an expression where two components hove the some priority, the calculation is performed from right to left. e * l n ^ l 20 - e * ( I n ( 120)) I Other calculations will be carried out from left to right. I Calculations in parentheses ore performed first. I If the calculation includes o parameter with o negative number, the negative number should be in parentheses.
® @ © O e e o e o 9 2 3 4 5 6 X ( ( + X ( + The calculation will be carried out in the order described in Sequence of Operations. During the course of o calculation, the number and order stacks ore cleared. ■ Automatic Power-Saver If you hove not used the calculator for 5 minutes, it will automatically turn off. Press S to turn it on again.
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JAPANESE NOTICE « è ( v c c i ) ®S2pt*-3< №i: U'CV''S't'i5^i cogg^Sy 1/ t'ÿ g :/ gît« tæ® L TÆffl è tL î> i, gît e» êr 51 # e r 't'i i №h il Si". i*ti«ÉoTiEuv'mt)mv'èu-cTèv'„ Warranty Statement HP 10s scientific calculator; Warranty period: 12 months 1. HP warrants to you, the end-user customer, that HP hardware, accessories and supplies will be free from defects in materials and workmanship after the date of purchase, for the period specified above. 2.
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