%i Last Answer TI-30X ×B and TI-30X ×S The most recently calculated result is stored to the variable Ans. Ans is retained in memory, even after the TI-30X Ö is turned off. To recall the value of Ans: ¦ Press % i (Ans displays on the screen), or ¦ Press any operations key (T, U, F, etc.) as the first part of an entry. Ans and the operator are both displayed. Scientific Calculators Order of Operations 1999 Texas Instruments Incorporated The TI-30X Ö uses EOSé (Equation Operating System) to evaluate expressions. General Information Examples: See the last page of these instructions for keystroke examples that demonstrate many of the TI-30X Ö functions. Examples assume all default settings. & turns on the TI-30X Ö. % ' turns it off and clears the display. APD™ (Automatic Power Down™) turns off the TI-30X Ö automatically if no key is pressed for about 5 minutes. Press & after APD. The display, pending operations, settings, and memory are retained. 2-Line Display: The first line (Entry Line) displays an entry of up to 88 digits (or 47 digits for Stat or Constant Entry Line). Entries begin on the left; those with more than 11 digits scroll to the right. Press ! and " to scroll the line. Press % ! or % " to move the cursor immediately to the beginning or end of the entry. The second line (Result Line) displays a result of up to 10 digits, plus a decimal point, a negative sign, a “x10” indicator, and a 2-digit positive or negative exponent. Results that exceed the digit limit are displayed in Scientific Notation. Indicator 2nd HYP FIX SCI, ENG STAT DEG, RAD, GRAD K x10 º » ¹ ¸ Definition 2nd function. Hyperbolic function. Fixed-decimal setting. Scientific or Engineering Notation. Statistical mode. Angle mode (degrees, radians, or gradients). Constant mode is on. Precedes the exponent in Scientific or Engineering Notation. An entry is stored in memory before and/or after the active screen. Press # and $ to scroll. An entry or menu displays beyond 11 digits. Press ! or " to scroll. 2nd Functions: % displays the 2nd indicator, and then selects the 2nd function (printed above keys) of the next key pressed. For example, % b 25 E < calculates the square root of 25 and returns the result, 5. Menus: Certain TI-30X Ö keys display menus: z, % h, L, % t, u, % w, H, I, =, % k, % d, % ‚, and % . Press ! or " to move the cursor and underline a menu item. To return to the previous screen without selecting the item, press -. To select a menu item: ¦ Press < while the item is underlined, or ¦ For menu items followed by an argument value, enter the argument value while the item is underlined. The item and the argument value are displayed on the previous screen. Previous Entries # $ After an expression is evaluated, use # and $ to scroll through previous entries, which are stored in the TI-30X Ö memory. You cannot retrieve previous entries while in STAT mode. You can edit a previous entry and press < to evaluate the new expression. ENG 30XÖàOMà1L1/A 1st Expressions inside parentheses. 2nd Functions that need a ) and precede the argument, such as sin, log, and all RÍP menu items. 3rd Fractions. 4th Functions that are entered after the argument, such as x 2 and angle unit modifiers (Ä Å Æ r g). 5th Exponentiation (^) and roots (x‡). 6th Negation (M). 7th Permutations (nPr) and combinations (nCr). 8th Multiplication, implied multiplication, division. 9th Addition and subtraction. 10th Conversions (A bÌcÍdÌe, FÍD, 4DMS). 11th < completes all operations and closes all open parentheses. Clearing and Correcting ¦ Select a unit modifier (Ä Å Æ) for any part of an entry. Entries with unit modifiers are interpreted accordingly, overriding the Angle mode. To convert an entry: ¦ Set the Angle mode to the unit you want to convert to. Then use a unit modifier to designate the unit to convert from. (Angles of trigonometric functions convert values inside parentheses first.), or ¦ Select 4DMS, which converts an entry to DMS (Ä Å Æ) Notation. Trigonometry >?@ %Z[\ Enter trigonometric functions (sin, cos, tan, sin -1, cos-1, tan-1), just as you would write them. Set the desired Angle mode before starting trigonometric calculations. %Y Hyperbolics % Y displays the HYP indicator and accesses the hyperbolic function of the next trigonometry key that you press. Angle modes do not affect hyperbolic calculations. A B %]^ Logarithms A yields the common logarithm of a number. B yields the logarithm of a number to the base e (e=2.819291929). %] raises 10 to the power you specify. %^ raises e to the power you specify. - Clears an error message. Clears characters on entry line. Moves the cursor to last entry in history once display is clear. Deletes the character at the cursor. J Deletes all characters to the right when you hold down J; then, deletes 1 character to the left of the cursor each time you press J. Inserts a character at the cursor. %f Clears all memory variables. %{ Clears all data points without exiting %t CLRDATA STAT mode. %wY Clears all data points and exits STAT mode. Resets the TI-30X Ö. Returns unit to %Y or default settings; clears memory variables, pending operations, all entries &&in history, and statistical data; clears constant mode and Ans. Fractions N %j %O Fractional calculations can display fractional or decimal results. Results are automatically simplified. ¦ N enters a fraction. Press N between whole number, numerator, and denominator. The unit, numerator, and denominator must be positive integers. ¦ % j converts between fractions and decimals. ¦ % O converts between mixed numbers and simple fractions. Pi g p =3.141592653590 for calculations. p =3.141592654 for display. Angle Modes I = I displays a menu to specify the Angle mode as degrees, radians, or gradients. = displays a menu to specify the Angle unit modifier— degrees (Ä), radians ( r), gradients (g), or DMS (Ä Å Æ). It also lets you convert an angle to DMS Notation (4DMS). To set the Angle mode for any part of an entry: ¦ Select the Angle mode. Entries are interpreted and results displayed according to the Angle mode, or RectangularÍPolar %k % k displays a menu to convert rectangular coordinates (x,y) to polar coordinates (r,q) or vice versa. Set Angle mode, as necessary, before starting calculations. %l Constants % l turns Constant mode on and lets you define a constant. To store an operation to K and recall it: 1. Press %l. 2. Enter any combination of numbers, operators, and/or values, up to 44 characters, beginning with an operator. 3. Press < to save the operation. K displays in the indicator line. 4. Each subsequent time you press <, the TI-30X Ö recalls the stored operation and applies it to the last answer or the current entry. Press % l again to turn Constant mode off. Memory z L %h{ The TI-30X Ö has 5 memory variables—A, B, C, D, and E. You can store a real number or an expression that results in a real number to a memory variable. ¦ z accesses the menu of variables. ¦ L lets you store values to variables. ¦ % h recalls the values of variables. ¦ % { clears all variable values. Notation %‚ %d %C % ‚ displays the Decimal Notation mode menu. These modes affect only the display of results. F (default) restores standard notation (floating-decimal) format. 0123456789 sets decimal places to n (0–9), retaining numeric notation mode format. % d displays the Numeric Notation mode menu. These modes affect only the display of results. ¦ FLO (default): Floating Notation, with digits to the left and right of the decimal ¦ SCI: Scientific Notation ¦ ENG: Engineering Notation (exponent is a multiple of 3) % C enters a value in Scientific Notation, regardless of the numeric notation mode. Press M before entering a negative exponent. Page 1 Statistics %tw v u Errors TI Product Service and Warranty Information 1-VAR analyzes statistical data from 1 data set with 1 measured variable, x. 2-VAR stats analyzes paired data from 2 data sets with 2 measured variables—x, the independent variable, and y, the dependent variable. You can enter up to 42 data sets. To define statistical data points: 1. Press % t. Select 1-VAR or 2-VAR and press <. The STAT indicator displays. 2. Press v. 3. Enter a value for X 1. 4. Press $. ¦ In 1-VAR stat mode, enter the frequency of occurrence (FRQ) of the data point. FRQ default=1. If FRQ=0, the data point is ignored. ¦ In 2-VAR stat mode, enter the value for Y 1 and press <. ARGUMENT — A function does not have the correct number Product Support 5. Repeat steps 3 and 4 until all data points are entered. You must press < or $ to save the last data point or FRQ value entered. If you add or delete data points, the TI-30X Ö automatically reorders the list. 6. When all points and frequencies are entered: ¦ Press u to display the menu of variables (see table for definitions) and their current values, or ¦ Press v to return to the blank STAT screen. You can do calculations with data variables (Ï, Ð, etc.). Select a variable from the u menu and then press < to evaluate the calculation. EQUATION LENGTH ERROR — An entry exceeds the digit 7. When finished: ¦ Press % t and select CLRDATA to clear all data points without exiting STAT mode, or ¦ Press % w < to clear all data points, variable and FRQ values, and to exit STAT mode (STAT indicator turns off). Variables Definition n Ï or Ð Sx or Sy Îx or Îy Òx or Òy Òx 2 or Òy2 Òxy a b r x¢ (2-VAR) Number of x or (x,y) data points. Mean of all x or y values. Sample standard deviation of x or y. Population standard deviation of x or y. Sum of all x or y values. Sum of all x 2 or y 2 values. Sum of (x … y) for all xy pairs. Linear regression slope. Linear regression y-intercept. Correlation coefficient. Uses a and b to calculate predicted x value when you input a y value. Uses a and b to calculate predicted y value when you input an x value. y¢ (2-VAR) Probability of arguments. DIVIDE BY 0 — ¦ You attempted to divide by 0. ¦ In statistics, n=1. DOMAIN — You specified an argument to a function outside the valid range. For example: ¦ For x‡: x = 0 or y < 0 and x not an odd integer. ¦ For yx: y and x = 0; y < 0 and x not an integer. ¦ For ‡x: x < 0. ¦ For LOG or LN: x 0. ¦ For TAN: x = 90¡, -90¡, 270¡, -270¡, 450¡, etc. ¦ For SIN-1 or COS-1: |x| > 1. ¦ For nCr or nPr: n or r are not integers ‚ 0. ¦ For x!: x is not an integer between 0 and 69. limits (88 for Entry Line and 47 for Stat or Constant Entry lines); for example, combining an entry with a constant that exceeds the limit. FRQ DOMAIN — FRQ value (in 1-VAR stats) < 0 or >99, or not an integer. OVERFLOW — |q| ‚ 1¯10, where q is an angle in a trig, hyperbolic, or R4Pr( function. STAT — ¦ Pressing u with no defined data points. ¦ When not in STAT mode, pressing v, u, or % w. Customers in the U.S., Canada, Puerto Rico, and the Virgin Islands For general questions, contact Texas Instruments Customer Support: phone: e-mail: 1.800.TI.CARES (1.800.842.2737) [email protected] For technical questions, call the Programming Assistance Group of Customer Support: phone: 1.972.917.8324 Customers outside the U.S., Canada, Puerto Rico, and the Virgin Islands Contact TI by e-mail or visit the TI calculator home page on the World Wide Web. e-mail: Internet: [email protected] www.ti.com/calc Product Service Customers in the U.S. and Canada Only Always contact Texas Instruments Customer Support before returning a product for service. Customers outside the U.S. and Canada Refer to the leaflet enclosed with this product or contact your local Texas Instruments retailer/distributor. Other TI Products and Services Visit the TI calculator home page on the World Wide Web. www.ti.com/calc SYNTAX — The command contains a syntax error: entering more than 23 pending operations or 8 pending values; or having misplaced functions, arguments, parentheses, or commas. Warranty Information Customers in the U.S. and Canada Only One-Year Limited Warranty for Electronic Product H Calculates the number of possible permutations nPr of n items taken r at a time, given n and r. The order of objects is important, as in a race. Calculates the number of possible combinations nCr of n items taken r at a time, given n and r. The order of objects is not important, as in a hand of cards. A factorial is the product of the positive integers ! from 1 to n. n must be a positive whole number 69. RAND Generates a random real number between 0 and 1. To control a sequence of random numbers, store an integer (seed value) ‚ 0 to rand. The seed value changes randomly every time a random number is generated. Generates a random integer between 2 integers, A RAND[ and B, where A { RAND[ { B. Separate the 2 integers with a comma. Battery Replacement 1. Using a small Phillips screwdriver, remove screws from back case. 2. Remove protective cover. Starting from the bottom, carefully separate front from back. Caution: Be careful not to damage any internal parts. 3. Using a small Phillips screwdriver (if necessary), remove old battery; replace with new one. Caution: Avoid contact with other TI-30X Ö components while changing the battery. 4. If necessary, press & and - at the same time to reset the TI-30X Ö (clears memory and all settings). Caution: Dispose of old batteries properly. Do not incinerate batteries or leave where a child can find them. In Case of Difficulty Review instructions to be certain calculations were performed properly. Press & and - at the same time. This clears all memory and settings. Check the battery to ensure that it is fresh and properly installed. Change the battery when: ¦ & does not turn the unit on, or ¦ The screen goes blank, or ¦ You get unexpected results. To continue using the TI-30X ×S (Battery/Solar)† until you can change the battery: 1. Expose the solar panel to brighter light. 2. Press & and - at the same time to reset the calculator. This clears all settings and memory. † Operates in well-lit areas using solar cell. Operates in other light settings using battery. This Texas Instruments (“TI”) electronic product warranty extends only to the original purchaser and user of the product. Warranty Duration. This TI electronic product is warranted to the original purchaser for a period of one (1) year from the original purchase date. Warranty Coverage. This TI electronic product is warranted against defective materials and construction. THIS WARRANTY IS VOID IF THE PRODUCT HAS BEEN DAMAGED BY ACCIDENT OR UNREASONABLE USE, NEGLECT, IMPROPER SERVICE, OR OTHER CAUSES NOT ARISING OUT OF DEFECTS IN MATERIALS OR CONSTRUCTION. Warranty Disclaimers. ANY IMPLIED WARRANTIES ARISING OUT OF THIS SALE, INCLUDING BUT NOT LIMITED TO THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE LIMITED IN DURATION TO THE ABOVE ONE-YEAR PERIOD. TEXAS INSTRUMENTS SHALL NOT BE LIABLE FOR LOSS OF USE OF THE PRODUCT OR OTHER INCIDENTAL OR CONSEQUENTIAL COSTS, EXPENSES, OR DAMAGES INCURRED BY THE CONSUMER OR ANY OTHER USER. Some states/provinces do not allow the exclusion or limitation of implied warranties or consequential damages, so the above limitations or exclusions may not apply to you. Legal Remedies. This warranty gives you specific legal rights, and you may also have other rights that vary from state to state or province to province. Warranty Performance. During the above one (1) year warranty period, your defective product will be either repaired or replaced with a reconditioned model of an equivalent quality (at TI’s option) when the product is returned, postage prepaid, to Texas Instruments Service Facility. The warranty of the repaired or replacement unit will continue for the warranty of the original unit or six (6) months, whichever is longer. Other than the postage requirement, no charge will be made for such repair and/or replacement. TI strongly recommends that you insure the product for value prior to mailing. Software. Software is licensed, not sold. TI and its licensors do not warrant that the software will be free from errors or meet your specific requirements. All software is provided “AS IS.” Copyright. The software and any documentation supplied with this product are protected by copyright. All Customers Outside the U.S. and Canada For information about the length and terms of the warranty, refer to your package and/or to the warranty statement enclosed with this product, or contact your local Texas Instruments retailer/distributor. ENG 30XÖàOMà1L1/A Page 2 #$!" 5 6 N Ô 2. 1+1 1T1< DEG DEG Ô 6. 3T3< 3+3 4T4< 4+4 ### 2+2 %"T2< 2+2+2 %j L6 4Ì 6 + 2 = L4 2Ì 3 DEG Ó DEG 3 4 Ô 6. Ô 9. A bÌc AnsÃ 3 Ô 27. DEG 1N2Vg< Ô 1Â2ÃÀ 1.570796327 3 x ÑAns Ô 3. A bÌcÍdÌe 9 N 2 % O < U + Q P ½ V W M D 60T5V12< E Ô 120. DEG 1TM8T12< (M) 1+M8+12 Ñ(4) Ô 2. 4Ã (2+3) 4D2T3E< 4(2+3) Ô 20. F3 4D 4Â1Â2 4 F3 4D Ô 4.5 4N1N2 %j< -I! ÄÅÆ <2g=""" Ä Å Æ r g¹ ¹ Ô 0.5 RAD DEG xM1 F %b G %c DEG 2 V D 1 N 2 E a 2Ã (1Â2) M1 Ô 4. < << 2Àr 1.5=! ¸ 4DMS << Ô 1.5 4DMS 1Ä30Å0Æ Ô 360 DEG x2 2FT2< Ô 6. 2 2 +2 DEG ÄÅÆ DEG Ñ %b25E< Ñ(25) DEG Ô 5. DEG 5G3< Ô 125. 5^3 DEG xÑ 3%c8< 3 xÑ 8 Ô 2. DEG > %Z TAN ? @ %[ %\ @45E< Ô 1. tan(45) DEG DEG -1 A B %] LOG A1E< %^ log(1) Ô 0. DEG LN B15EV2< DEG Ô 20. DRG DEG RAD GRD RAD RAD DEG 4VD2T3E < <E< sin(30Ä) 4 1Ì2 ".5 Ô 5. DEG %b4E< () >30= DEG ^ < 60+5Ã 12 RAD Ä Å Æ r g¹ 9Â2 4AbÌc3 4dÌeÔ 4Ë1Ì2 DEG T Ô < ÄÅÆ 9Ì2 " 4 1Ì2 DEG 3%c%i < DEG RAD GRD DEG DEG V3< I" 1Ì2 Q À = 1.570796327 a 3Ã 3 3V3< ANS Ô - DEG DEG DEG %i = DRG DEG Ô 8. I M 6 N 4 N 6 T 2 M6Â4Â6 + 2 Ô M4Ë2Ì3 < A bÌc Ô 4. 2+2 2T2< %O DEG %]2EU10 F< %\1E< 10^(2)½102 Ô 0. Ô 45 tan (1) DEG COS 5V?75E< Ô ln(15) Ã 2 5.416100402 DEG 10 x TAN -1 5Ã cos(75) Ô 1.294095226 ¹ DEG %Y DRG I! DEG RAD GRD HYP <%Y>5 ET2< Ô sinh(5)+2 76.20321058 #%Y %Z< sinhM1 (5)+2 Ô 4.312438341 DEG ex %_ % 5%_V250 < 5%Ã 250 Ô 12.5 DEG %^.5E < Ô e^(.5) 1.648721271 DEG DEG e=2.71828182846 g À DEG 2Vg< Ô 2ÃÀ 6.283185307 DEG %k RÍP %k R4Pr R4PÁ ¹ 5%`30E< R4Pr (5,30) #%k" R4Pr R4PÁ ¹ << R4PÁ (5,30) DEG Ô 30.41381265 DEG DEG Ô 80.53767779 DEG ENG 30XÖàOMà1L1/A Page 3 %l %‚ K= %l K FIX %d g< À %C %t v Ô 3.141592654 1-VAR: {45, 55, 55, 55} DEG V2T3< DEG K= Ã 2+3 %‚ 4Ã 2+3 6< 6Ã 2+3 %l%lF< K= 2 2 À DEG K Ô 3.14 FIX Ô 15. %‚8 À 52 %d" DEG 202 20< << Ô 400. %l1T1< %d" Ô 2. 1+1 < CLRVAR L %h z %{ EE DEG STO 4 15L ¹A B C D E¹ < 15¹ A g À %h A B C D E 1.234%C M65< $3< FRQ=3 u""" n Ï Sx Îx ¹ DEG %t! 1.234 ¯M65 Ô 12.34 x10M66 STAT DEG STAT DEG 2-VAR: (45,30); (55,25); xÅ(45) STAT %t" 1½VAR 2½VAR¹ <v45 X 1=45 $30 Y1=30 $55 X2=55 $25 Y2=25 $u!! ¸ xÅ yÅ 45E< xÅ(45) DEG DATA DEG DEG L" ¹A B C D E¹ < Ô Ans¹ B 706.8583471 DEG DEG STAT z" A B C D E 706.8583471 STAT EXIT STAT %w DEG <W4< Ô 176.7145868 BÌ4 DEG ENG 30XÖàOMà1L1/A DEG DEG 15. DEG MEM VAR DEG Ó STAT STAT VAR DEG Ó STAT Ô 706.8583471 DEG Ó STAT 15. <F< Ó STAT Ô À 15 2 DEG < DEG RCL DEG ¸ CLRDATA DEG Ô 15. DEG V2< STAT DEG DEG Ó 3. STAT Ô 12345 12.345 x10 03 ENG DEG ÎxÃ 2 8.660254038 FLO SCI ENG ENG Ó 4.330127019 STAT DEG %{ STAT VAR DEG X2=55 STAT Ô 12345 1.2345 x10 04 SCI DEG K Ó $55$ FLO SCI ENG DEG K DEG FRQ=1 STAT DEG Ô 25. Ó X 1=45 STAT Ô 12345 DEG K 5< $ DEG DEG 12345 <v45 STAT Ô 3.141592654 DEG K SCI/ENG 1½VAR 2½VAR¹ DEG DATA Ô 11. %t F0123456789 DEG K 4< STAT u %w DEG EXIT ST: Y N STAT DEG < DEG Page 4 H nPr 8 Ô 8 DEG H nPr nCr ! ¹ DEG 3< Ô 336. 8 nPr 3 DEG nCr 52 Ô 52 DEG ! ¹ H" nPr nCr 5< Ô 52 nCr 5 2598960. DEG ! 4 Ô 4 DEG H"" nPr nCr ! ¹ DEG << Ô 24. 4! DEG STO 4 rand 5L! ¸ rand 660000. DEG < 5¹rand Ô 5. DEG RAND H!! ¸ RAND RAND[ DEG Ô .000093165 << RAND H! ¸ RAND RAND[ 3%`5E< RAND[(3,5) DEG RAND[ DEG Ô 4. DEG Texas Instruments 7800 Banner Dr. Dallas, TX 75251 U.S.A. ¾ Texas Instruments Holland B.V. Rutherfordweg 102 3542 CG Utrecht - The Netherlands www.ti.com/calc ENG 30XÖàOMà1L1/A Page 5

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