Manual / Guide
TI-30XS MultiView / TI-30XB MultiView Guidebook
Texas Instruments' guidebook for the TI-30XS MultiView, its first non-graphing calculator with a dot-matrix display.
Manual / Guide
Texas Instruments' guidebook for the TI-30XS MultiView, its first non-graphing calculator with a dot-matrix display.
I® TEXAS INSTRUMENTS TI-30XS MultiView™ and TI-30XB MultiView™ Scientific Calculator Guidebook Learn more about TI Technology through the online help at education.ti.com/eguide. Important information Texas Instruments makes no warranty, either express or implied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials and makes such materials available solely on an "as-is" basis. In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of these materials, and the sole and exclusive liability of Texas Instruments, regardless of the form of action, shall not exceed the purchase price of this product. Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party. MathPrint, APD, Automatic Power Down, EOS, and MultiView are trademarks of Texas Instruments Incorporated. Copyright © 2025 Texas Instruments Incorporated Contents Getting Started 2208000. ce cece cece eeeeceeeeee 1 Examples .........2--2--22-02-0 22 ce cece eee cece eee eee eee ee eee eee eeeeeeeeee 1 Switching the Calculator On and Off .. 21 Display Contrast 1 Home Screen .. od 2nd Functions - 2 ~2 4 Scrolling . - 6 Answer Toggle ... - 7 Last Answer _7 Order of Operations 8 Clearing and Correcting ....... 22.22.2222 22 cece eee eee eee eee eens 9 Memory and Stored Variables Math Functions . Fractions Percentages _. x10n Key _... 2.222222 2 ieee eee eee eee ee ee ee ee eee eee ee tees Powers, Roots and Inverses . Pi ON Ct Rectangular to Polar .. Trigonometry wee Hyperbolics ...... 22.22.2222 eee eee eee e eee eee ee Logarithm and Exponential Functions .. Statistics Math Tools ._........ 2.2... 220-2200. 2 2 eee eee eee eect eee eee eeeeeeeee 32 Data Editor and List Formulas Function Table . Constant Battery Information Australian Lithium Battery Warning In Case of Difficulty iii General Information Getting Started Examples Each section is followed by instructions for keystroke examples that demonstrate the TI-30XS MultiView™ and TI-30XB MultiView™ functions. All references in this manual will refer to the TI-30XS MultiView, but are also applicable for the TI- 30XB MultiView™. Examples assume all default settings, as shown in the Modes section. For more activities and examples, see the TI-30XS MultiView™ Teacher Guide available at education.ti.com/guides. Switching the Calculator On and Off turns on the TI-30XS MultiView™ calculator. [off] turns it off. The display is cleared, but the history, settings, and memory are retained. The APD™ (Automatic Power Down™) feature turns off the TI-30XS MultiView™ calculator automatically if no key is pressed for about 5 minutes. Press after APD. The display, pending operations, settings, and memory are retained. Display Contrast The brightness and contrast of the display can depend on room lighting, battery freshness, and viewing angle. To adjust the contrast: 1. Press and release the key. 2. Press [+] (to darken the screen) or [] (to lighten the screen). Home Screen On the Home screen, you can enter mathematical expressions and functions, along with other instructions. The answers are displayed on the Home screen. The TI-30XS MultiView™ screen can display a maximum of four lines with a maximum of 16 characters per line. For entries and expressions of more than 16 characters, you can scroll left and right (© and @) to view the entire entry or expression. In the MathPrint™ mode, you can enter up to four levels of consecutive nested functions and expressions, which include fractions, square roots, exponents with “, VV, ex, and 10x. When you calculate an entry on the Home screen, depending upon space, the answer is displayed either directly to the right of the entry or on the right side of the next line. Special indicators may display on the screen to provide additional information concerning functions or results. 1 Getting Started Indicator Definition 2nd 2nd function. HYP Hyperbolic function. FIX Fixed-decimal setting. (See Modes section.) SCI, ENG Scientific or engineering notation. (See Modes section.) DEG, RAD, Angle mode (degrees, radians, or gradians). GRAD (See Modes section.) K Constant feature is on. L1, L2, L3 Displays above the lists in data editor. zg The TI-30XS MultiView™ calculator is performing an operation. ty An entry is stored in memory before and/or after the active screen. Press © and © to scroll. a> An entry or menu displays beyond 16 digits. Press © or ® to scroll. 2nd Functions Most keys can perform two functions. The primary function is indicated on the key and the secondary function is displayed above it. Press to activate the secondary function of a given key. Notice that 2nd appears as an indicator on the screen. To cancel it before entering data, press again. For example, (v-] 25 Gg calculates the square root of 25 and returns the result, 5. Modes Use to choose modes. Press © © © @ to choose a mode, and EEWy to select it. Press or [2nd] [quit] to return to the Home screen and perform your work using the chosen mode settings. Default mode settings are shown highlighted. 0G RAD GRAD a) SCI ENG re ies deni He tHer tht] DEG RAD GRAD Sets the angle mode to degrees, radians, or gradians. Getting Started 2 NORM SCI ENG Sets the numeric notation mode. Numeric notation modes affect only the display of results, and not the accuracy of the values stored in the unit, which remain maximal. NORM displays results with digits to the left and right of the decimal, as in 123456.78. SCI expresses numbers with one digit to the left of the decimal and the appropriate power of 10, as in 1.2345678*105 (which is the same as 123456.78). Note: In some restricted environments (for example function table, data editor, and the [recall] menu), the TI-30XS MultiView™ calculator may display E instead of *10n, ENG displays results as a number from 1 to 999 times 10 to an integer power. The integer power is always a multiple of 3. Note: is a shortcut key to enter a number in scientific notation format. The result displays in the numeric notation format set in mode. FLOAT 0123456789 Sets the decimal notation mode. FLOAT (floating decimal point) displays up to 10 digits, plus the sign and decimal. 0123456789 (fixed decimal point) specifies the number of digits (0 through 9) to display to the right of the decimal. CLASSIC MATHPRINT CLASSIC mode displays inputs and outputs in a single line. MATHPRINT mode displays most inputs and outputs in textbook format. Examples of Classic and MathPrint modes Classic mode MathPrint mode Sci Sci 12345 “||| 12345 1.2345410%4 1.23454104 Float mode and answer toggle | Float mode and answer toggle key. key. 13 1/8 a a 1/oe 0.125 = = bo 0.125 Fix 2 Fix 2 and answer toggle key. 3 Getting Started Classic mode MathPrint mode 2m 6.25 2m 2m 2m" 6.25 Un/d Un/d 45-9 4179 ||| 4 4a 1] 3 Exponent example Exponent example 2°5 32 2 32 Square root example Square root example e2) B B 1.414213562 ||) 75. 1.414213562 Cube root example Cube root example 364 4 ||| =feaq 4 Menus Certain keys display menus: [prb] , [angle], [data] , [stat], [reset], [recall], and [clear var]. Some keys may display more than one menu. Press ® and © to scroll and select a menu item, or press the corresponding number next to the menu item. To return to the previous screen without selecting the item, press [clear]. To exit a menu or application and return to the Home screen, press [quit] . The menu chart shows the menu keys and the menus they display. Getting Started 4 PRB RAND DMS Rd) Pp 1: nPr 1: rand 1:° 1: R> Pr( 2: nCr 2: randint( 2:’ 2: R> PO 3:! 3:” 3: P> Rx( 4cr 4: P> Ry( Sig 6:> DMS Press once to display the Data editor screen. Press again to display the menu. CLEAR FORMULA 1: Clear L1 1: Add/Edit Frmla 2: Clear L2 2: Clear L1 Frmla 3: Clear L3 3: Clear L2 Frmla 4: Clear ALL 4: Clear L3 Frmla 5: Clear ALL Press while you are in the Add/Edit Formula option of the FORMULA menu to display this menu: Ls a:L1 2:12 3:13 [stat] STATS 1: 1-Var Stats 2: 2-Var Stats 3: StatVars* * This menu option displays after you calculate 1-var or 2-var stats: StatVars ain 2:X 3: Sx Etc. See Statistics for a full list of values. 5 Getting Started [reset] [recall] [dear var] Reset Recall Var Clear Var 1:No 1 1: Yes 2: Yes 2 2: No 3: 4: 5 6 7 Scrolling (OXOKOKO) Press Mor @ to place the cursor horizontally over the expression entered. Press © or @® to move the cursor directly to the beginning or end of the expression. After an expression is evaluated, use © and © to scroll through previous entries, which are stored in the TI-30XS MultiView™ calculator’s memory. You can reuse a previous entry by pressing to paste it on the bottom line, and then evaluating a new expression. Examples Scroll 141 ars 1t+1 2 2)2 ars i+i 2 2t+2 4 3)3 3 Zt2 4 6 4)4 ars i+i 2 Zt2 4 3t+3 6 4+4 tad (OROROKC) we 2t2 4 3+3 6 4+4 3 S+38 Getting Started 6 & N > 2+2 3t+3 444 34342 HOT fe Answer Toggle i: Press the BMJ key to toggle the display result between fraction and decimal answers, exact square root and decimal, and exact pi and decimal. Example Answer i] 8 Gg ae toggle Te 2f2 [<>] arr 18 az ofeu 2.828427125 Last Answer [ans] The most recently calculated result is stored to the variable Ans. Ans is retained in memory, even after the TI-30XS MultiView™ calculator is turned off. To recall the value of Ans: ° Press [ans] (Ans displays on the screen), or © Press any operations key ((+], J, and so forth) as the first part of an entry. Ans and the operator are both displayed. Example Ans 3k) 3G es 3+ 9 343 3 ans 27 7. Getting Started 3 [and] [7] [and] [ans] 0s = ansetS Zr =] ans 3 Order of Operations The TI-30XS MultiView™ calculator uses Equation Operating System (EOS™) to evaluate expressions. Within a priority level, EOS evaluates functions from left to right and in the following order. 1st Expressions inside parentheses. 2nd Functions that need a ) and precede the argument, such as sin, log, and all R4 > P menu items. 3rd Fractions. 4th Functions that are entered after the argument, such as x2 and angle unit modifiers. Sth Exponentiation (4) and roots (J). Note: In Classic mode, exponentiation using the key is evaluated from left to right. The expression 24342 is evaluated as (2*3)42, with a result of 64. DEG 2A5A2 64 In MathPrint™ mode, exponentiation using the key is evaluated from right to left. The expression 24342 is evaluated as 24(342), with a result of 512. mG a3? 51 The TI-30XS MultiView™ calculator evaluates expressions entered with [x?] and [x=] from left to right in both Classic and MathPrint modes. Pressing 3 is calculated as (32)2 = 81. 6th Negation (-). 7th Permutations (nPr) and combinations (nCr). 8th Multiplication, implied multiplication, division. Getting Started 8 9th Addition and subtraction. 10th Conversions (n/d «> Un/d, F< > D, »DMS). 11th completes all operations and closes all open parentheses. Examples 4x7 (©) 12 ste 60+54 -12 in) (-) Ge 1+-8+12 5 a+ié 3 () arr 40243) 20 40 24) 30) rs fenter] 40243) 20 A and xf i] 3N 20 res 42 Js?4+42 5 Clearing and Correcting Clears an error message. Clears characters on entry line. Moves the cursor to last entry in history once display is clear. Backs up one screen in applications. Deletes the character at the cursor. [insert] Inserts a character at the cursor. [clearvar] | Clears variables x, y, z, t, a, b, and c. 9 Getting Started [reset] 2 Resets the TI-30XS MultiView™ calculator. Returns unit to default settings; clears memory variables, pending operations, all entries in history, and statistical data; clears the constant feature, K, and Ans. Memory and Stored Variables The TI-30XS MultiView™ calculator has 7 memory variables—x, y, z, t, a, b, and c. You can store a real number or an expression that results in a real number to a memory variable. recall] [clear var] lets you store values to variables. Press to store a variable, and press [x2i] to select the variable to store. Press to store the value in the selected variable. If this variable already has a value, that value is replaced by the new one. [2%] accesses the menu of variables. Press this key multiple times to choose x, y, z, t, a, b, or c. You can also use [x2i.] to recall the stored values for these variables. The name of the variable is inserted into the current entry, but the value assigned to the variable is used to evaluate the expression. [recall] recalls the values of variables. Press [recall] to display a menu of variables and their stored values. Select the variable you want to recall and press Gil@g. The value assigned to the variable is inserted into the current entry and used to evaluate the expression. [clear var] clears variable values. Press [clear var] and select 1: Yes to clear all variable values. Examples Clear [clear var] 1 ves Var es 'Ho Store 0G 154% 154% 15 Recall [recall] ves Getting Started 10 1544 15 i5* 225 153% 15 i5* 225 Ans+4 153% 15 i5* 225 Ans+4 225 i5* 225 Ans+4 225 4 jenter HEME enter} “= Ans+y 225 4 225 Ans+4 56,25 Problem In a gravel quarry, two new excavations have been opened. The first one measures 350 meters by 560 meters, the second one measures 340 meters by 610 meters. What volume of gravel does the company need to extract from each excavation to reach a depth of 150 meters? To reach 210 meters? Display the results in engineering notation. Xoroy ene] osc 350 [x] 560 % 196*107 340 [x] 610 wee 1964107 340461034 207,.4#107 150 [recall] te 1a te! E. Beaters Stz=0e0 11 Getting Started ENG mae 207.4#10> 150#196000 29, 4410° 210 [recall] ENG mae 29. 4410% 210196000 41, 16*10° ENG mae 210196000 41.16*10% 150*4 3i.i1#10° ENG mae 150% 3i.ii#*10® 21044 43, 5544e10° For the first excavation: The company needs to extract 29.4 million cubic meters to reach a depth of 150 meters, and to extract 41.16 million cubic meters to reach a depth of 210 meters. For the second excavation: The company needs to extract 31.11 million cubic meters to reach a depth of 150 meters, and to extract 43.554 million cubic meters to reach a depth of 210 meters. Getting Started 12 Math Functions Fractions Bana] [ui] 2nd) [F<>d] nd) [3<>u;] In the MathPrint™ mode, fractions with [5] can include operation keys ([+] most function keys ([x?] [%], etc.). In Classic mode, fractions with [3] do not allow operation keys, functions, or complex fractions in the numerator or denominator. Note: In Classic mode, data editor, and table, use [=] to perform complex division problems. Calculations using fractions can display fraction or decimal results, depending on input. The TI-30XS MultiView™ calculator defaults output to improper fractions. Results are automatically simplified. . enters a simple fraction. Pressing [3] before or after a number can result in different behavior. Entering a number before pressing [§] makes that number the numerator. To enter fractions with operators or radicals, press [3] before you enter a number (in MathPrint™ mode only). In MathPrint mode, press © between the entry of the numerator and the denominator. In Classic mode, press [5] between the entry of the numerator and the denominator. * To paste a previous entry in the denominator, place the cursor in the denominator, press © to scroll to the desired entry, and then press EMG to paste the entry to the denominator. * To paste a previous entry in the numerator or unit, place the cursor in the numerator or unit, press © or [2nd] © to scroll to the desired entry, and then press GEG to paste the entry to the numerator or unit. ¢ [2nd] [u3] enters a mixed number. Press [2nd] [U3] between the entry of the unit and the numerator. 3>U3] converts between mixed numbers and simple fraction form. [f<>4] converts results between fractions and decimals. Examples Classic mode n/d, Un/d (3) 4) 1 [ua] 5 ars 7 (3) 12 Ge B/4t+1ur7l2 P43 13 Math Functions n/d@> 9) 2 Rnd] [3<>us] 5 ars Un/d fenter] Be 2b Ld dul’ Fa>D — |4 Gnd) [ua] 1G) 2 = [f<>4] QQ 4ul/2rFeD 4.5 Examples MathPrint™ mode n/d, Un/d H3040)1 F “s+ fi 2447 ? Bnd [us] 7© 12 || 34156 z n/d4> Un/d |9 [5] 2® Rnd) 5 ars (i<>u3] Gg 2503; 4h FarD 4 Pad] [ui] 1 © 2 = © [and] [Fd] 4irFoD 4.5 Examples 1.24130 5 os (MathPrint™ EE enter] ae 0.62 mode only) (MathPrint™ rs mode only) -S+Je?-aciice) ecaia “2 Percentages [%] be] To perform a calculation involving a percentage, press [%] after entering the value of the percentage. To express a value as a percentage, press [-%] after the value. Math Functions 14 Example 2 2nd] [%] [x] 150 BY =e 24+#150 3 1G) 5 @ Bnd b~] = Aye 20% = Problem A mining company extracts 5000 tons of ore with a concentration of metal of 3% and 7300 tons with a concentration of 2.3%. On the basis of these two extraction figures, what is the total quantity of metal obtained? If one ton of metal is worth 280 dollars, what is the total value of the metal extracted? 3 [and] [>] (3 5000 = 3445000 150 2.3 Bnd] [%] [x] 7300 “ 3445000 150 Anst+2. 3447300 317.9 P20 enter mG 3445000 150 Anst+2. 3447300 317. Ans#280) S9012 The two extractions represent a total of 317.9 tons of metal for a total value of 89012 dollars. x10" Key Press to enter a number in scientific notation format. Use parentheses to compute the correct order of operation. oom = RAD GRAD EMG a ZEyserss A THER LAT] 15 Math Functions (x N fo")] 3© 47] 50083 za res 4e10> 5*10°> A300 HW4 a re for] 5 ® (2#107)+(4e107) [enter] S#10 "= Powers, Roots and Inverses Calculates the square of a value. The TI-30XS MultiView™ calculator evaluates expressions entered with and rom left to right in both Classic and MathPrint™ modes. Raises a value to the power indicated. If you insert an expression as the exponent, you must place it between parentheses. Iv] Calculates the square root of a positive value. >] Calculates the nth root of any positive value and any odd integer root of a negative value. Gives the inverse of a value: 1/x. The TI-30XS MultiView™ calculator evaluates expressions entered with and rom left to right in both Classic and MathPrint™ modes. Examples 50 20H4N 02810) “os fenter] 52yqt2e1) 39 104 (=) 2g * io7= = ioc nd) [-] 49 GY re 45 e Bnd [-] 30 20H 204 “ot enter 5 Math Functions 16 6 [2nd] [*-] 64 BY “a ®le4 2 aca tale * Pi T = 3.141592653590 for calculations. T = 3.141592654 for display. Example tT 2 fenter] “a 21 2m [<>] vs 241 2m 2m 6, 263185307 Problem What is the area of a circle if the radius is 12 cm? Reminder: A = mr2. @ 120 26 = mi 2= 144n [<>] GO mi 2= 144n 144n0 452. 3893421 The area of the circle is 144 m square cm. The area of the circle is approximately 452.4 square cm when rounded to one decimal place. 17 Math Functions Angle Menu [angle] [angle] displays the choice of two submenus that enable you to specify the angle unit modifier as degrees (°), minutes ('), seconds ("); radian (r); gradian (g), or convert units using DMS. You can also convert between rectangular coordinate form (R) and polar coordinate form (P). (See Rectangular to Polar for more information.) Choose an angle mode from the mode screen. You can choose from DEG (default), RAD, or GRAD. Entries are interpreted and results displayed according to the angle mode setting without needing to enter an angle unit modifier. Examples RAD © Gi GRAD ENG BE ceo 45e7e9 rc H [sin] 30 tao [angle] RuP ra a" 40) Ga ; me sine30%3 i = DEG fenter] me RAD GRAD a) SCI ENG He, Oizs4s5er7ss TC Lia [angle] 4 & sint3o> £ enh 360 >DMS 1.5 [2nd] [angle] 6 “=e [enter] sint3o?> 2 2m" 360 1.5*DMS 1°30'O" Problem Two adjacent angles measure 12° 31’ 45” and 26° 54’ 38” . respectively. Add the two angles and display the result in DMS format. Round the results to two decimal places. Math Functions 18 (dear) mode] © © © © © GG 12 Gnd) [ans] Fie mae 12°31'45"4+26°54b 39.44 [anole] 6 EE Fie mae 12°31'45"4+26°54b 39.44 39. 4397222227 1 bb Soe 26 23" The result is 39 degrees, 26 minutes and 23 seconds. Problem It is known that 30° = x / 6 radians. In the default mode, degrees, find the sine of 30°. Then set the calculator to radian mode and calculate the sine of m / 6 radians. Note: Press to clear the screen between problems. (clear) (sin) 30 1) EE _ * sint3oO> i = (0) sint30> £ = sin(3) ; Retain radian mode on the calcula tor and calculate the sine of 30°. Change the calculator to degree mode and find the sine of m / 6 radians. {Sin} 30 2nd) [anole] GY map sin[E] sint3oe% bole bole 19 Math Functions sine3o%3 sin( Zr) bale bole Rectangular to Polar [angle] [angle] displays a menu to convert rectangular coordinates (x,y) to polar coordinates (r,®) or vice versa. Set Angle mode, as necessary, before starting calculations. Example Convert polar coordinates (r,8)=(5,30) into rectangular coordinates. Then convert rectangular coordinates (x,y) = (3,4) into polar coordinates. Round the results to one decimal place. Rp>P {clear} [mode] Fis eG ECS re kindle tae (cear] fang [anate] = = ial 30D) 1 ? . [angle] © 4 5 [2nd] [,] 30D] [enter] [angle] @ 1 rik “es 40 PeRx(5,.30) 4.3 PeRucS. 309 2.5 Jenter RePrOS; 4) 5:0 [angle] @ 2 RePecs.4d) 53.7 [] 40) Converting (r,8) = (5,30) gives (x,y) = (4.3,2.5) and converting (x,y) = (3,4) gives (r,8) = (5.0,53.1). Trigonometry [sin] [sin] [cos*] [tan] 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. Math Functions 20 Example tan (ROR enter} “s+ tant452 1 45 tan-1 [tan*] 1 ars jenter] tari) 45 cos ars S#oos (60) = = Degree Mode Example Radian Mode tan Om = 4|| tan(Z] 1 ® 0) Ga tant [tan*] 1 m+ fenter] tani) 0, 785398163 0, 785399163 0. 7853931 Ba59rae 4 cos oes OF eaT ent] H, 0. 785398163 x siz S#cos[ 7] = siz, 3, 535555906. Problem Find angle A of the right triangle below. Then calculate angle B and the length of the hypotenuse c. Lengths are in meters. Round results to one decimal place. Reminder: 21 Math Functions z a (2) tanA= 3 thereforemZA=tan \3 A mZA + mZB + 90° = 180° therefore mZB = 90°-mZA 4 c ca VP +7 c 7 B (RORORO} enter} rik 1a RAD GRAD CLASS re iaudinseahs id] [tan*] 7G) 3® rie ars fenter] tan(2] 66.5 90 (=) [ans] G9 rie ars tan(2] 66.8 = 90-Ans 23.2 [v] 3 Fie arr 90-Ans 23.2 32472 {58 [<>] ri we 90-Ans 3.2 32472 {58 580 7.6 To one decimal place, the measure of angle A is 66.8°, the measure of angle B is 23.2°, and the length of the hypotenuse is 7.6 meters. Hyperbolics [hyp] [hyp] displays the HYP indicator and accesses the hyperbolic function of the next trigonometry key that you press. Angle modes do not affect hyperbolic calculations. Math Functions 22 Example HYP [hye] [sin] 5 0) a (+) 2 GS sinhesit+2 76. 20321053 ROT enter TOKO) . “ OO@ sinh) +2 0321058 [hyp] sinkreW554+2 [sin] GE 4, 3124355341 Logarithm and Exponential Functions fH) fox] le*] yields the common logarithm of a number. [In] yields the logarithm of a number to the base e (e~2.718281828459). fo*] raises 10 to the power you specify. [ex] raises e to the power you specify. Examples LoG 10) = log¢1) oO LN [ia] 5 20 ae log¢1> oO IntSo#2 3. 218875825 10" bor) 2 oh ee “oo a 3, 218975825 2nd] fox] 5 ® igie#=) 2 fenter] log 107) 5 ex [e*] 5 Gg = eG 1.648721271 Statistics [stat] [stat] displays a menu with the following options: * 1-Var Stats analyzes statistical data from 1 data set with 1 measured variable, x. 23 Math Functions * 2-Var Stats analyzes paired data from 2 data sets with 2 measured variables—x, the independent variable, and y, the dependent variable. * StatVars displays a secondary menu of statistical variables. The StatVars menu only appears after you have calculated 1-Var or 2-Var stats. Use © and © to locate the desired variable, and press EX@q to select it. Variables Definition n Number of x or (x,y) data points. Xory Mean of all x or y values. Sx or Sy Sample standard deviation of x or y. oxoroy Population standard deviation of x or y. =x or Ly Sum of all x or y values. =x2 or Ly2 Sum of all x2 or y2 values. xy Sum of (x...y) for all xy pairs. a Linear regression slope. b Linear regression y-intercept. r Correlation coefficient. x’ (2-Var) Uses a and b to calculate predicted x value when you input a y value. y (2-Var) Uses a and b to calculate predicted y value when you input an x value. Minx Minimum of x values. Qi (1-Var) Median of the elements between Minx and Med (1st quartile). Med Median of all data points. Q3 (1-Var) Median of the elements between Med and Maxx (3rd quartile). MaxX Maximum of x values. To define statistical data points: 1. Enter data in L1, L2, or L3. (See Data editor.) Note: Non-integer frequency elements are valid. This is useful when entering frequencies expressed as percentages or parts that add up to 1. However, the sample standard deviation, Sx, is undefined for non-integer frequencies, and Sx = Error is displayed for that value. All other statistics are displayed. Press [stat]. Select 1-Var or 2-Var and press Gag. Select L1, L2, or L3, and the frequency. Press to display the menu of variables. To clear data, press [data], select a list to clear, and press Gag. yoP wn Math Functions 24 Examples 1-Var: Find the mean of {45, 55, 55, 55} Clear all QOe we data FORMULA ear L2 siClear L3 ERC lesr ALL Data 45©55©55|[ a mest @ 55 EE Ee Litsi= Stat [stat] 1 ves He . Stats t2-Var Stats loKo) ve 1-VAR STATS CATA: LE LE FRO: Li Lz Le CALC oa 'H=52.5 S45x=5 Stat Var [2 “a x 52.5 Espa enter] ars x 2.0 Ans#2 105 2-Var: Data: (45,30); (55,25). Find: x’(45) Clear all (OES) we data © FORMULA ear L2 siClear L3 ERC lesr ALL Data 450 55© M300 20 25 Math Functions Stat [stat] 2 (Your screen may not show 3:StatVars if you did not previously perform a calculation.) eG eaciee Stats 2—-Var Stats Qe [aut] [stat] EXOROROROKC) iS) Eee) Timink=45 ams 0) om “'¢45) 15 Problem For his last four tests, Anthony obtained the following scores. Tests 2 and 4 were given a weight of 0.5, and tests 1 and 3 were given a weight of 1. Test No. 1 2 3 4 Score 12 13 10 11 Coefficient 1 0.5 1 0.5 Find Anthony’s average grade (weighted average). 2. What does the value of 7 given by the calculator represent? What does the value of =x given by the calculator represent? Reminder: The weighed average is n 3. The teacher gave Anthony 4 more points on test 4 due to a grading error. Find 140.5 Sx _ (12) (1) + (18) (0.5) + (20) (1) + (24) (0.5) Anthony's new average grade. 0G FORMULA L2 siClear L3 ERC lesr ALL eG CLEAR ae an gietear rela ear L3 Frmla 126 13©10© 11001 0 wus @5O195@ rn ke ii Oe Lec Si1= [stat] 4 cs (Your screen may not show as 3:StatVars if you did not : Sar bats previously perform a oe Stat Ver calculation.) S00 = 1-VAR STATS DATA: 14 L2 Le FR: oO Li My L> CALC [enter] DES i #=11. 33333333 S45x=Error Anthony has an average (X) of 11.33 (to the nearest hundredth). On the calculator, n represents the total sum of the weights. n=1+05+1+05 =x represents the weighted sum of his scores. (12)(1) + (13)(0.5) + (10)(1) + (11)(0.5) = 34 Change Anthony's last score from 11 to 15. [data] OO O15© o 13 10 is LicSi= [stat] 1© © BY 'H=12 34-5x=Error If the teacher adds 4 points to Test 4, Anthony’s average grade is 12. Problem The table below gives the results of a braking test. 27 Math Functions Test No. 1 2 3 4 Speed (kph) 33 49 65 79 Braking distance (m) |5.30 14.45 20.21 38.45 Use the relationship between speed and braking distance to estimate the braking distance required for a vehicle traveling at 55 kph. A hand-drawn scatter plot of these data points suggest a linear relationship. The TI-30XS MultiView™ calculator uses the least squares method to find the line of best fit, y'=ax'+b, for data entered in lists. (data] 4 me FORMULA ear L2 siClear L3 ERC lesr ALL 33© 49© 6556 7900 5.3 0 a a * © ee [2erZi 14.45 © 20.21 © 38.45 © #3 Se HE Lac53= [stat] 2 eaciee Stats Bg2-Var Stats ORS) 2-VAR STATS “DATA: Lz LE YDATA: isa LE CALC = 'e=56.5 345x719, 89137166 Press © to view aand b. mes x= 215 Di a=0.6°°325190 This line of best fit, y'=0.6773251! Press © until y' is highlighted. r= Gix 1H 1717 9x'-18.66637321 models the linear trend of the data. Math Functions 28 ass om i = 18. 58651222 The linear model gives an estimated braking distance of 18.59 meters for a vehicle traveling at 55 kph. Probability This key displays two menus: PRB and RAND. PRB contains the following options: nPr Calculates the number of possible permutations of n items taken r at a time, given n and r. The order of objects is important, as ina race. nCr Calculates the number of possible combinations 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 contains the following options: 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. randint( Generates a random integer between 2 integers, A and B, where A < randint < B. Separate the 2 integers with a comma. Examples nPr 8 * on ieee InP Cr 29 Math Functions 3 * 8 nPr 3 336 ncr 52 2 52 ntr 5 * ntr 5a 2598960 ! 4 [pro] * Ef enter} 4! 24 STO 5 0) rand PRE B aaa Prandint¢ 10 * Strand 5 Rand (Op genter| * Strand 5 rand 0.000093165 Randint( O2 * 3 Gna [.] 5 oarand 5 o. ‘oot tor randint (3,59 Problem An ice cream store advertises that it makes 25 flavors of home made ice cream. You like to order three different flavors in a dish. How many combinations of ice cream can you test over a very hot summer? 25 25 25 ntr Math Functions 30 3 > 25 nCr 3 2300 You can choose from 2300 dishes with different combinations of flavors! If a long hot summer is about 90 days long, you will need to eat about 25 ice cream dishes each day! 31 Math Functions Math Tools Data Editor and List Formulas lets you enter data in up to 3 lists. Each list can contain up to 42 items. Press [2nd] © to go to the top of a list, and © to go to the bottom of a list. List formulas accept all calculator functions. Numeric notation, decimal notation, and angle modes affect the display of an element (except fractional elements). Example 1 18402 ry mus 4030)4© || 1 gente] i Litsi= Formula ® ® tne 1a Add“Edi rela Clear L1 Frmla 1-4 |__ __ _ _| ive Be4 1 *Lz= a [rr ve Fa *LZ=LibFeD 1-4 = | ERS ------ i Br4 Oo. 75 Fl i Cat 1) =D Notice L2 is calculated per the formula you entered, and L2(1)= in the author line is highlighted to indicate the list is the result of a formula. Problem On a November day, a weather report on the Internet listed the following temperatures. Paris, France 8°C Moscow, Russia -1°C Montreal, Canada 4°C Math Tools 32 Convert these temperatures from degrees Celsius to degrees Fahrenheit. 9 Reminder: F = 5C + 32 FORMULA data] © 5 ear L2 siClear L3 eG CLEAR ae an gietes rela ir ear L3 Frmla o wes + , ______| oo 4 Cit i= ®1 7 moe , ______| oo 4 eLe= 9) 5 [x] [data] 1 [4] 32 ry wes , ______| 4 SL2=3-5eLiesee S| amy —------ “4 a 4 33.2 | Pe. | If Sydney, Australia is 21°C, find the temperature in degrees Fahrenheit. ©o0o0078 a ™ “i EO. 2 4 Fa. 2 zi 63.5 Licbi= Function Table The function table allows you to display a defined function in a tabular form. To set up a function table: 1. Press [table]. 2. Enter a function and press 2g. Functions allow up to one level of fractions. 3. Select the table start, table step, auto, or ask-x options and press BG. 33 Math Tools The table is displayed using the specified values. Start Specifies the starting value for the independent variable, x. Step Specifies the incremental value for the independent variable, x. The step can be positive or negative, but cannot be zero. Auto The TI-30XS MultiView™ calculator automatically generates a series of values based on table start and table step. Ask-x Lets you build a table manually by entering specific values for the independent variable, x. Problem Find the vertex of the parabola, y = x(36 - x) using a table of values. Reminder: The vertex of the parabola is the point on the line of symmetry of the parabola. [table] (0 36&) 0) * fenter] g=0036-“3 Start=0 Ster=1 Ask-+ (dear] 15 © [dear] 3© © OY ve Start=15 Ster=3 Ask-% After searching close to x = 18, the point (18, 324) appears to be the vertex of the parabola since it appears to be the turning point of the set of points of this function. To search closer to x = 18, change the Step value to see points closer to (18, 324). Problem A charity collected $3,600 to help support a local food kitchen. $450 will be given to the food kitchen every month until the funds run out. How many months will the charity support the kitchen? Reminder: If x = months and y = money left, then y = 3600 - 450x. Math Tools 34 3600 [=] 450 y=3600-450% Goo 1008 °o fa Input guesses GY The support of $450 per month will last for 8 months since y(8) = 3600 - 450(8) = 0 as shown in the table of values. Constant Ik] [k] turns Constant feature on and lets you define a constant. To store an operation to K and recall it: 1. Press [k]. Enter any combination of numbers, operators, and/or values, up to 44 characters. 2 3. Press to save the operation. K displays in the indicator line. 4 Each subsequent time you press Gia, the TI-30XS MultiView™ calculator recalls the stored operation and applies it to the last answer or the current entry. Press [k] again to turn Constant feature off. Examples K IK] “= K= 2) 30 0G Ke#2+3 4 x rs 442+3 11 35 Math Tools 6 x ars 442+5 11 62+ 15 Reset K [K] f2nq] [K] 7 = fenter] K=* 5z 25 20 Gy x re 5z 25 20% 400 Turn off K k)14) 16g ae 5z 25 207 400 1+1 2 Problem Given the linear function y = 5x — 2, calculate y for the following values of x: -5; -1. (2nd) [k] (] 5 (=) 2 c ves K=#5-2 sa 2 ar “545-2 -27 1a q ar 545-2 -27 -145-2 “7 {2nd} [k] “a 545-2 -27 -145-2 “7 Math Tools 36 Reference Information Errors When the TI-30XS MultiView™ calculator detects an error, it returns an error message with the type of error. To correct the error, note the error type and determine the cause of the error. If you cannot recognize the error, use the following list, which describes error messages in detail. Press to clear the error message. The previous screen is displayed with the cursor at or near the error location. Correct the expression. ARGUMENT — A function does not have the correct number 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¥y: x = 0 or y< 0 and xis not an odd integer. © For yx: yand x = 0; y< O and x is not an integer. © Foryx:x<0. e¢ For LOG or LN: x< 0. ° For TAN: x = 90°, -90°, 270°, -270°, 450°, etc., and equivalent for radian mode. * For SIN-1 or COS-1: |x| > 1. ¢ For nCr or nPr: n or r are not integers = 0. * Forx!:x is not an integer between 0 and 69. EQUATION LENGTH ERROR — An entry exceeds the digit limits (80 for stat entries or 47 for constant entries); for example, combining an entry with a constant that exceeds the limit. FRQ DOMAIN — FRQ value (in 1-Var stats) < 0 or > 99. OVERFLOW — You attempted to enter, or you have calculated, a number that is beyond the range of the calculator. STAT — Attempting to calculate 1-var or 2-var stats with no defined data points, or attempting to calculate 2-var stats when the data lists are not of equal length. DIM MISMATCH — Attempting to create a formula when the lists are not of equal length. FORMULA — The formula does not contain a list name (L1, L2, or L3), or the formula for a list contains its own list name. For example, a formula for L1 contains L1. 37 Reference Information 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. If using [§], try using [=]. INVALID FUNCTION — Invalid function entered in the function table. MEMORY LIMIT — The calculation contains too many pending operations (more than 23). If using the constant feature (K), you attempted to enter more than four levels of nested functions using fractions, square roots, exponents with “, 7, e*, and 10%. LOW BATTERY — Replace the battery. Note: This message displays briefly and then disappears. Pressing does not clear this message. Reference Information 38 Battery Information Battery CAUTION: Do not ingest battery, Chemical Burn Hazard. This product contains a coin or button cell battery. If the coin or button cell battery is swallowed, it can cause severe internal burns in just 2 hours and can lead to death. Keep new and used batteries away from children. Always completely secure the battery compartment. If the battery compartment does not close securely, stop using the product, remove the batteries, and keep them away from children. If you think batteries might have been swallowed or placed inside any part of the body, seek immediate medical attention. Call a local poison control center for treatment information. Even used batteries may cause severe injury or death. Non-rechargeable batteries are not to be recharged. Do not force discharge, recharge, disassemble, heat above 140F (60C) or incinerate. Doing so may result in injury due to venting, leakage or explosion resulting in chemical burns. Ensure the batteries are installed correctly according to polarity (+ and -). Do not mix old and new batteries, different brands or types of batteries, such as alkaline, carbon-zinc or rechargeable batteries. Risk of fire or explosion if battery is replaced by an incorrect type. Remove and immediately recycle or dispose of batteries from equipment not used for an extended period of time according to local regulations. Do NOT dispose of batteries in household trash or incinerate. How to remove or replace the battery The TI-30XS MultiView™ calculator uses one 3 volt CR2032 lithium battery. Remove the protective cover and turn the TI-30XS MultiView™ calculator face downwards. With a small screwdriver, remove the screws from the back of the case. From the bottom, carefully separate the front from the back. Be careful not to damage any of the internal parts. With a small screwdriver (if required), remove the battery. To replace the battery, check the polarity (+ and -) and slide in a new battery. Press firmly to snap the new battery into place. Important: When replacing the battery, avoid any contact with the other components of the TI-30XS MultiView™ calculator. Dispose of the dead battery immediately and in accordance with local regulations. 39 Reference Information Per CA Regulation 22 CCR 67384.4, the following applies to the button cell battery in this unit: Perchlorate Material - Special handling may apply. See www.dtsc.ca.gov/hazardouswaste/perchlorate Australian Lithium Battery Warning * Swallowing may lead to severe or fatal injuries in as little as 2 hours or less due * Never allow children to replace coin batteries of any device. ¢ — If it is suspected your child has swallowed or inserted a coin battery immediately * Examine devices and make sure the battery compartment is correctly secured. * Dispose of used coin batteries immediately and safely. A battery can still be ¢ Tell others about the risk associated with the coin batteries and how to keep their WARNING KEEP BATTERIES OUT OF THE REACH —=>" OF CHILDREN Coin Battery inside the product. to chemical burns and potential perforation of the esophagus. call the 24-hour Poisons Informa