TI-36X Pro Calculator Important information............................................................. 2 Examples ............................................................................... 3 Switching the calculator on and off ........................................ 3 Display contrast ..................................................................... 3 Home screen ......................................................................... 3 2nd functions ............................................
Statistics, regressions, and distributions.............................. 36 Probability ............................................................................ 48 Function table ...................................................................... 49 Matrices ............................................................................... 52 Vectors................................................................................. 54 Solvers................................................................
Examples Each section is followed by instructions for keystroke examples that demonstrate the TI-36X Pro functions. Examples assume all default settings, as shown in the Modes section. Some screen elements may differ from those shown in this document. Switching the calculator on and off & turns on the calculator. % ' turns it off. The display is cleared, but the history, settings, and memory are retained.
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 and cursors may display on the screen to provide additional information concerning functions or results. Indicator Definition 2ND 2nd function. FIX Fixed-decimal setting. (See Mode section.) SCI, ENG Scientific or engineering notation. (See Mode section.
Indicator Definition MathPrint™ cursor. Continue entering the current MathPrint™ element, or press an arrow key to exit the element. 2nd functions % Most keys can perform more than one function. 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.
SCI expresses numbers with one digit to the left of the decimal and the appropriate power of 10, as in 1.2345678E5 (which is the same as 1.2345678×105). 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: E is a shortcut key to enter a number in scientific notation format. The result displays in the numeric notation format selected in the mode menu. FLOAT 0 1 2 3 4 5 6 7 8 9 Sets the decimal notation mode.
Examples of Classic and MathPrint™ modes Classic mode MathPrint™ mode Sci Sci Float mode and answer toggle key. Float mode and answer toggle key. Fix 2 Fix 2 and answer toggle key.
Multi-tap keys A multi-tap key is one that cycles through multiple functions when you press it. For example, the X key contains the trigonometry functions sin and sin/ as well as the hyperbolic functions sinh and sinh/. Press the key repeatedly to display the function that you want to enter. Multi-tap keys include z, X, Y, Z, C, D, H, and g. Applicable sections of this guidebook describe how to use the keys. Menus Menus give you access to a large number of calculator functions.
d (key with multiple menus): MATH 1:4n/d³´Un/d 2: lcm( 3: gcd( 4: 4Pfactor 5: sum( 6: prod( NUM 1: abs( 2: round( 3: iPart( 4: fPart( 5: int( 6: min( 7: max( 8: mod( DMS 1: ¡ 2: ¢ 3: £ 4: r 5: g 6: ´DMS R ³´ P 1: P ´Rx( 2: P ´Ry( 3: R ´Pr( 4: R ´Pq( Scrolling expressions and history !"#$ Press ! or " to move the cursor within an expression that you are entering or editing. Press % ! or % " to move the cursor directly to the beginning or end of the expression.
Answer toggle r Press the r key to toggle the display result (when possible) between fraction and decimal answers, exact square root and decimal, and exact pi and decimal. Pressing r displays the last result in the full precision of its stored value, which may not match the rounded value. Example Answer toggle %b8< r Last answer %i The last entry performed on the home screen is stored to the variable ans. This variable is retained in memory, even after the calculator is turned off.
3%c%i < Order of operations The TI-36X Pro 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 R³´P menu items. 3rd Fractions. 4th Functions that are entered after the argument, such as x2 and angle unit modifiers. 5th Exponentiation (^) and roots (x‡).
7th Permutations (nPr) and combinations (nCr). 8th Multiplication, implied multiplication, division. 9th Addition and subtraction. 10th Conversions (n/d³´Un/d, F³´D, 4DMS). 11th < completes all operations and closes all open parentheses.
Clearing and correcting %s Returns to the Home screen. - Clears an error message. Clears characters on entry line. Moves the cursor to last entry in history once display is clear. J Deletes the character at the cursor. %f Inserts a character at the cursor. %{ Clears variables x, y, z, t, a, b, c, and d to their default value of 0. % 2 Resets the calculator.
• P enters a simple fraction. Pressing P before or after a number can result in different behavior. Entering a number before pressing P makes that number the numerator. To enter fractions with operators or radicals, press P 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 P between the entry of the numerator and the denominator. The fraction bar will appear thicker than the division bar.
F³´D 4%@1P2 %˜< Examples MathPrint™ mode n/d, U n/d P3 $ 4 " T 1 % @ 7 $12 < n/ 9P2"d1< n d ³´U /d F³´D 4%@1$2" %˜< Examples P1.2 T 1.3 $ 4 < (MathPrint™ mode only) (MathPrint™ P M 5 T % b 5 mode only) F U 4 ( 1 ) ( 6 )$2(1)< Percentages %_ To perform a calculation involving a percentage, press % _ after entering the value of the percentage.
³ 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 % _ V 5000 < T 2.3 % _ V 7300 < V 280 < The two extractions represent a total of 317.9 tons of metal for a total value of 89012 dollars.
Powers, roots and inverses F Calculates the square of a value. The TI-36X Pro calculator evaluates expressions entered with F and a from left to right in both Classic and MathPrint™ modes. G Raises a value to the power indicated. Use " to move the cursor out of the power. %b Calculates the square root of a non-negative value. %c Calculates the nth root of any non-negative value and any odd integer root of a negative value. a Gives the inverse of a value: 1/x.
2%a< Pi g (multi-tap key) p = 3.141592653590 for calculations. p = 3.141592654 for display. Example p 2Vg< r ³ Problem What is the area of a circle if the radius is 12 cm? Reminder: A = p×r2 g V 12 F < r The area of the circle is 144 p square cm. The area of the circle is approximately 452.4 square cm when rounded to one decimal place.
Math d MATH d displays the MATH menu: 1:4n/d³´Un/d 2: lcm( 3: gcd( 4: 4Pfactor 5: sum( 6: prod( Converts between simple fractions and mixed-number form.
Number functions d NUM d " displays the NUM menu: 1: abs( 2: round( 3: iPart( 4: fPart( 5: int( 6: min( 7: max( 8: mod( Absolute value Rounded value Integer part of a number Fractional part of a number Greatest integer that is the number Minimum of two numbers Maximum of two numbers Modulo (remainder of first number P second number) Examples abs( d"1 M%b5< round( d"2 1.245 % ` 1 ) < ## < !!!!! 5 < iPart( fPart( 4.9 L z < d "3 z ) < d "4 z ) V3< int( d "5 M 5.
mod( d "8 17 % ` 12 ) < ## < !! 6 < Angles d DMS d " " displays the DMS menu: 1: ¡ 2: ¢ 3: £ 4: r 5: g 6: ´DMS Specifies the angle unit modifier as degrees (º). Specifies the angle unit modifier as minutes ('). Specifies the angle unit modifier as seconds ("). Specifies a radian angle. Specifies a gradian angle. Converts angle from decimal degrees to degrees, minutes, and seconds. You can also convert between rectangular coordinate form (R) and polar coordinate form (P).
DEG q< 2gd""4 < 4DMSS 1.5 d " " 6 < ³ 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. -q$$"""< -12 d " " 1 31 d " "2 45 d " " 3 T 26 d " "1 54 d " " 2 38 d " " 3 < d""6< The result is 39 degrees, 26 minutes and 23 seconds. ³ Problem It is known that 30¡ = p / 6 radians. In the default mode, degrees, find the sine of 30¡.
Note: Press - to clear the screen between problems. - X 30 ) < q"
-d!1 5 % ` 30 ) < d!2 5 % ` 30 ) < d !3 3%`4)< d!4 3%`4)< Converting (r, q) = (5, 30) gives (x, y) = (4.3, 2.5) and (x, y) = (3, 4) gives (r, q) = (5.0, 53.1). Trigonometry X Y Z (multi-tap keys) 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.
tan-1 Z Z1 ) < r cos 5VYgP4") < r ³ 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.
90 U % i < %b3FT7F< r 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 X Y Z (multi-tap keys) Pressing one of these multi-tap keys repeatedly lets you access the corresponding hyperbolic or inverse hyperbolic function. Angle modes do not affect hyperbolic calculations.
Logarithm and exponential functions D C (multi-tap keys) D yields the logarithm of a number to the base e (e ≈ 2.718281828459). D D yields the common logarithm of a number. C raises e to the power you specify. C C raises 10 to the power you specify. Examples LOG D D1 ) < LN D5)V2< 10 › C CD D 2)< D DC C 5")< e› C .
Example in MathPrint™ mode %A %A z F T 5 z "" M1< Example in Classic mode Classic: nDeriv(expression,variable,value[,H]) %A %A zFT5z %`z %`M1 ) < nDeriv( uses the symmetric difference quotient method, which approximates the numerical derivative value as the slope of the secant line through these points. f(x + ε) – f(x – ε) f′ ( x ) = ----------------------------------------2ε As H becomes smaller, the approximation usually becomes more accurate. In MathPrint™ mode, the default H is 1EM3.
q $$ """" < %A z G 3 " U 4 z "" 2P%b3 < 2 The slope of the tangent line at x = ------- is zero. A maximum or 3 minimum of the function must be at this point! Numeric integral %Q % Q calculates the numeric function integral of an expression with respect to a variable x, given a lower limit and an upper limit. Example in RAD angle mode % Q q " <%Q 0 " g"" z X z" < ³ Problem Find the area under the curve f(x) = Mx2+4 from M2 to 0 and then from 0 to 2.
< Notice that both areas are equal. Since this is a parabola with the vertex at (4,0) and zeros at (M2, 0) and (2, 0) you see that the symmetric areas are equal. Stored operations %m %n % n lets you store a sequence of operations. % m plays back the operation. To set an operation and then recall it: 1. Press % n. 2. Enter any combination of numbers, operators, and/or values, up to 44 characters. 3. Press < to store the operation. 4.
%m 6%m Redefine op % n F< Recall op 5%m 20 % m ³ Problem Given the linear function y = 5x – 2, calculate y for the following values of x: -5; -1. %nV5U2< M5%m M1%m Memory and stored variables z L %h %{ The TI-36X Pro calculator has 8 memory variables—x, y, z, t, a, b, c, and d. You can store a real or complex number or an expression result to a memory variable. Features of the calculator that use variables (such as the solvers) will use the values that you store. L lets you store values to variables.
z is a multi-tap key that cycles through the variable names x, y, z, t, a, b, c, and d. You can also use z 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. To enter two or more variables in succession, press " after each. %h recalls the values of variables. Press %h to display a menu of variables and their stored values. Select the variable you want to recall and press <.
Lzz < zz
210 V % h < < 150 V z z < 210 V z z < 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. Data editor and list formulas v v lets you enter data in up to 3 lists.
< v<%˜ < Notice L2 is calculated using the formula you entered, and L2(1)= in the author line is highlighted to indicate the list is the result of a formula. ³ Problem On a November day, a weather report on the Internet listed the following temperatures. Paris, France 8¡C Moscow, Russia M1¡C Montreal, Canada 4¡C Convert these temperatures from degrees Celsius to degrees Fahrenheit. (See also the section on Conversions.
v"1 9 W 5 V v 1 T 32 < If Sydney, Australia is 21¡C, find the temperature in degrees Fahrenheit. ! $ $ $ 21 < Statistics, regressions, and distributions v %u v lets you enter and edit the data lists. % u displays the STAT-REG menu, which has the following options. Note: Regressions store the regression information, along with the 2-Var statistics for the data, in StatVars (menu item 1). 1: StatVars 2: 1-Var Stats Displays a secondary menu of statistical result variables.
3: 2-Var Stats 4: LinReg ax+b 5: QuadraticReg 6: CubicReg 7: LnReg a+blnx 8: PwrReg ax^b 9: ExpReg ab^x Analyzes paired data from 2 data sets with 2 measured variables—x, the independent variable, and y, the dependent variable. Frequency data may be included. Note: 2-Var Stats also computes a linear regression and populates the linear regression results. Fits the model equation y=ax+b to the data using a least-squares fit.
% u " displays the DISTR menu, which has the following distribution functions: 1: Normalpdf Computes the probability density function (pdf) for the normal distribution at a specified x value. The defaults are mean mu=0 and standard deviation sigma=1. The probability density function (pdf) is: 2: Normalcdf Computes the normal distribution probability between LOWERbnd and UPPERbnd for the specified mean mu and standard deviation sigma.
5: Binomcdf 6: Poissonpdf 7: Poissoncdf Computes a cumulative probability at x for the discrete binomial distribution with the specified numtrials and probability of success (p) on each trial. x can be nonnegative integer and can be entered with options of SINGLE, LIST or ALL (a list of cumulative probabilities is returned.) 0 { p { 1 must be true. Computes a probability at x for the discrete Poisson distribution with the specified mean mu (m), which must be a real number > 0.
sx or sy Population standard deviation of x or y. Gx or Gy Sum of all x or y values. Gx2 or Gy2 Sum of all x2 or y2 values. Gxy Sum of (x…y) for all xy pairs. a (2-Var) Linear regression slope. b (2-Var) Linear regression y-intercept. r (2-Var) 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.
1-Var Example Find the mean of {45, 55, 55, 55} Clear all data vv$$$ Data < 45 $ 55 $ 55 $ 55 < Stat %s %u 2 (Selects 1-Var Stats) $$ < Stat Var 2< V2< 2-Var Example Data: (45,30); (55,25).
Stat %u 3 (Selects 2-Var Stats) $$$ <%s %u1 ###### < 45 ) < ³ Problem For his last four tests, Anthony obtained the following scores. Tests 2 and 4 were given a weight of 0.5, and tests 1 and 3 were given a weight of 1. Test No. 1 2 3 4 Score 12 13 10 11 Coefficient 1 0.5 1 0.5 1. Find Anthony’s average grade (weighted average). 2.
< v"$$$$ < 12 $ 13 $ 10 $ 11 $ " 1 $ .5 $ 1 $ .5 < %u 2 (Selects 1-Var Stats) $""< < Anthony has an average (v) of 11.33 (to the nearest hundredth). On the calculator, n represents the total sum of the weights. n = 1 + 0.5 + 1 + 0.5. Gx represents the weighted sum of his scores. (12)(1) + (13)(0.5) + (10)(1) + (11)(0.5) = 34. Change Anthony’s last score from 11 to 15. v $ $ $ 15 < %u2 $""<< If the teacher adds 4 points to Test 4, Anthony’s average grade is 12.
³ Problem The table below gives the results of a braking test. Test No. 1 2 3 4 Speed (kph) 33 49 65 79 5.30 14.45 20.21 38.45 Braking distance (m) Use the relationship between speed and braking distance to estimate the braking distance required for a vehicle traveling at 55 kph. A hand-drawn scatter plot of these data points suggest a linear relationship. The calculator uses the least squares method to find the line of best fit, y'=ax'+b, for data entered in lists.
This line of best fit, y'=0.67732519x'N18.66637321 models the linear trend of the data. Press $ until y' is highlighted. < 55 ) < The linear model gives an estimated braking distance of 18.59 meters for a vehicle traveling at 55 kph. Regression example 1 Calculate an ax+b linear regression for the following data: {1,2,3,4,5}; {5,8,11,14,17}. Clear all data v v $ $ $ Data < 1$2$3$4$ 5$" 5 $ 8 $ 11 $ 14 $ 17 < Regression %s %u $$$ < $$$$ < Press $ to examine all the result variables.
L1 = {0, 1, 2, 3, 4}; L2 = {10, 14, 23, 35, 48} Find the average value of the data in L2. Compare the exponential regression values to L2. Clear all data v v 4 Data 0 $1 $ 2 $ 3 $ 4 $ "10 $ 14 $ 23 $ 35 $ 48 < Regression %u # Save the <$$$ " < regression equation to f(x) in the I menu. Regression Equation < Find the average value (y) of the data in L2 using StatVars. %u 1 (Selects StatVars) $$$ $$$ $$$ Examine the I 2 table of values of the regression equation.
< 0< 1< << Warning: If you now calculate 2-Var Stats on your data, the variables a and b (along with r and r2) will be calculated as a linear regression. Do not recalculate 2-Var Stats after any other regression calculation if you want to preserve your regression coefficients (a, b, c, d) and r values for your particular problem in the StatVars menu. Distribution example Compute the binomial pdf distribution at x values {3,6,9} with 20 trials and a success probability of 0.6.
< Probability H %† H is a multi-tap key that cycles through the following options: ! A factorial is the product of the positive integers from 1 to n. n must be a positive whole number { 69. 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. 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 in a race.
nPr 8HHH3< STO 4 rand 5L%† 1 (Selects rand) < Rand %†1< Randint( %†2 3%`5)< ³ 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.
2: Edit function Lets you define the function f(x) and generates a table of values. The function table allows you to display a defined function in a tabular form. To set up a function table: 1. Press I and select Edit function. 2. Enter a function and press <. 3. Select the table start, table step, auto, or ask-x options and press <. The table is displayed using the specified values. Start Specifies the starting value for the independent variable, x.
< 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 smaller and smaller values to see points closer to (18, 324). ³ 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.
Matrices In addition to those in the Matrix MATH menu, the following matrix operations are allowed. Dimensions must be correct: • matrix + matrix • matrix – matrix • matrix × matrix • Scalar multiplication (for example, 2 × matrix) • matrix × vector (vector will be interpreted as a column vector) % t NAMES % t displays the matrix NAMES menu, which shows the dimensions of the matrices and lets you use them in calculations.
Matrix example Define matrix [A] as 1 2 3 4 Calculate the determinant, transpose, inverse, and rref of [A].
< rref %t"# <%t <) < Notice that [A] has an inverse and that [A] is equivalent to the identity matrix. Vectors In addition to those in the Vector MATH menu, the following vector operations are allowed. Dimensions must be correct: • vector + vector • vector – vector • Scalar multiplication (for example, 2 × vector) • matrix × vector (vector will be interpreted as a column vector) % … NAMES % … displays the vector NAMES menu, which shows the dimensions of the vectors and lets you use them in calculations.
% … MATH % … " displays the vector MATH menu, which lets you perform the following vector calculations: 1: DotProduct 2: CrossProduct 3: norm magnitude Syntax: DotP(vector1, vector2) Both vectors must be the same dimension. Syntax: CrossP(vector1, vector2) Both vectors must be the same dimension. Syntax: norm(vector) % … EDIT % … ! displays the vector EDIT menu, which lets you define or edit vector [u], [v], or [w]. Vector example Define vector [u] = [ 0.5 8 ]. Define vector [v] = [ 2 3 ].
Add vectors %…< T %…$< < DotP %…"< %…< %` %…$< )< .5 V 2 T 8 V 3 < Note: DotP is calculated here in two ways. norm % …" $$ < % …$ < ) r< % b 2 F T 3 F" r< Note: norm is calculated here in two ways. Solvers Numeric equation solver %‰ % ‰ prompts you for the equation and the values of the variables. You then select which variable to solve for. The equation is limited to a maximum of 40 characters.
Example Reminder: If you have already defined variables, the solver will assume those values. Num-solv %‰ Left side 1 P2 " zF U5 z z z z z "" Right side 6 z U z z zz z z < Variable values 1P2$ 2P3$ 0.25 $ "" Solve for b < Note: Left-Right is the difference between the left- and right-hand sides of the equation evaluated at the solution. This difference gives how close the solution is to the exact answer. Polynomial solver %Š % Š prompts you to select either the quadratic or the cubic equation solver.
Example of quadratic equation Reminder: If you have already defined variables, the solver will assume those values. Poly-solv %Š Enter < coefficients 1 $ M2 $ 2 < Solutions < $ $ Note: If you choose to store the polynomial to f(x), you can use I to study the table of values. $$" < Vertex form (quadratic solver only) On the solution screens of the polynomial solver, you can press r to toggle the number format of the solutions x1, x2, and x3.
System of linear equations solver %‹ % ‹ solves systems of linear equations. You choose from 2×2 or 3×3 systems. Notes: • x, y, and z results are automatically stored in the x, y, and z variables. • Use r to toggle the results (x, y and z) as needed. • The 2x2 equation solver solves for a unique solution or displays a message indicating an infinite number of solutions or no solution. • The 3x3 system solver solves for a unique solution or infinite solutions in closed form, or it indicates no solution.
Toggle r result type Example 3×3 system Solve: 5x – 2y + 3z = -9 4x + 3y + 5z = 4 2x + 4y – 2z = 14 System solve %‹$ 3×3 system < First equation 5< M2 < 3< M9< Second equation 4< 3< 5< 4< Third equation 2< 4< M2 < 14 < Solutions < $ $ 60
Example 3×3 system with infinite solutions Enter the system %‹2 1 <2 <3 <4 < 2 <4 <6 <8 < 3 <6 <9 <12 < < < < Number bases %— Base conversion % — displays the CONVR menu, which converts a real number to the equivalent in a specified base. 1: ´Hex 2: ´Bin 3: ´Dec 4: ´Oct Converts to hexadecimal (base 16). Converts to binary (base 2). Converts to decimal (base 10). Converts to octal (base 8).
3: d 4: o Specifies a decimal number. Specifies an octal integer. Examples in DEC mode Note: Mode can be set to DEC, BIN, OCT, or HEX. See the Mode section. d ´Hex 127 % — 1 < h ´Bin %¬%¬ %—"1 %—2< b ´Oct 10000000 % — " 2 %—4< o ´Dec #< Boolean logic % — ! displays the LOGIC menu, which lets you perform boolean logic.
Examples BIN mode: and, or q $$$$ "" < 1111 % — ! 1 1010 < 1111 % — ! 2 1010 < BIN mode: xor, xnor 11111 % — ! 3 10101 < 11111 % — ! 4 10101 < HEX mode: q $$$$ not, 2’s "< %—!6 %¬%¬) < %—!5 %i< DEC mode: q $$$$ < nand 192 % — ! 7 48 < Expression evaluation %‡ Press %‡ to input and calculate an expression using numbers, functions, and variables/parameters. Pressing %‡ from a populated home screen expression pastes the content to Expr=.
2zTzzz <2 <5 < %‡ <4<6< Constants Constants lets you access scientific constants to paste in various areas of the TI-36X Pro calculator. Press % Œ to access, and ! oro" to select either the NAMES or UNITS menus of the same 20 physical constants.Use # and $ to scroll through the list of constants in the two menus. The NAMES menu displays an abbreviated name next to the character of the constant. The UNITS menu has the same constants as NAMES but the units of the constant show in the menu.
Note: Displayed constant values are rounded. The values used for calculations are given in the following table. Constant speed of light c g gravitational acceleration h Planck’s constant NA Avogadro’s number R me mp mn mμ G F a0 re k e u atm H0 m0 Cc Value used for calculations 299792458 meters per second 9.80665 meters per second2 6.62606896×10M34 Joule seconds 6.02214179×1023 molecules per mole ideal gas constant 8.314472 Joules per mole per Kelvin electron mass 9.
Conversions The CONVERSIONS menu permits you to perform a total of 20 conversions (or 40 if converting both ways). To access the CONVERSIONS menu, press % –. Press one of the numbers (1-5) to select, or press # and $ to scroll through and select one of the CONVERSIONS submenus. The submenus include the categories English-Metric, Temperature, Speed and Length, Pressure, and Power and Energy.
lb 4 kg pounds to kilograms kg 4 lb kilograms to pounds Temperature conversion Conversion ¡F 4 ¡C Farenheit to Celsius ¡C 4 ¡F Celsius to Farenheit ¡C 4 ¡K Celsius to Kelvin ¡K 4 ¡C Kelvin to Celsius Speed and length conversion Conversion km/hr 4 m/s kilometers/hour to meters/second m/s 4 km/hr meters/second to kilometers/hour LtYr 4 m light years per meter m 4 LtYr meters to light years pc 4 m parsecs to meters m 4 pc meters to parsecs Ang 4 m Angstrom to meters m 4 Ang meters to
Pressure conversion Conversion atm 4 kPa atmospheres to Pascals Pa 4 atm Pascals to atmospheres mmHg 4 kPa millimeters of mercury to Pascals Pa 4 mmHg Pascals to millimeters of mercury Examples Temperature (M22) %–2 << (Enclose negative numbers/expressions in parentheses.
Complex numbers %ˆ The calculator performs the following complex number calculations: • • • • Addition, subtraction, multiplication, and division Argument and absolute value calculations Reciprocal, square, and cube calculations Complex Conjugate number calculations Setting the complex format: Set the calculator to DEC mode when computing with complex numbers. q $ $ $ Selects the REAL menu.
Complex menu Description 1:± ± (polar angle character) Lets you paste the polar representation of a complex number (such as 5±p). 2 :polar angle angle( Returns the polar angle of a complex number. 3: magnitude abs( (or |þ| in MathPrint™ mode) Returns the magnitude (modulus) of a complex number. 4: 4 r±p Displays a complex result in polar form. Valid only at the end of an expression. Not valid if the result is real. 5: 4 a+bi Displays a complex result in rectangular form.
4 r±q 3 T 4 ggg %ˆ4 < 4 a+bi 5 %ˆ< 3gP2" % ˆ5 < Conjugate: conj( % ˆ6 5 U 6 ggg ) < Real: real( % ˆ7 5 U 6 ggg) < Errors When the calculator detects an error, it returns an error message with the type of error. The following list includes some of the errors that you may encounter. To correct the error, note the error type and determine the cause of the error. If you cannot recognize the error, refer to the following list. Press - to clear the error message.
BREAK — You pressed the & key to stop evaluation of an expression. CHANGE MODE to DEC — Base n mode: This error is displayed if the mode is not DEC and you press ‰, Š, ‹, ‡, I, t, …, or –. COMPLEX — If you use a complex number incorrectly in an operation or in memory you will get the COMPLEX error. DATA TYPE — You entered a value or variable that is the wrong data type.
• 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. • For x!: 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. Exponent must be Integer — This error is returned if the exponent is not an integer.
• You press < on a blank equation or an equation with only numbers. Invalid Data Type — In an editor, you entered a type that is not allowed, such as a complex number, matrix, or vector, as an element in the stat list editor, matrix editor and vector editor. Invalid domain — The Numeric equation solver did not detect a sign change. INVALID FUNCTION — An invalid function is entered in the function definition in Function table.
STAT — You attempted to calculate 1-var or 2-var stats with no defined data points, or attempted to calculate 2-var stats when the data lists are not of equal length. 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 P, try using W and the appropriate parentheses. TOL NOT MET — You requested a tolerance to which the algorithm cannot return an accurate result.
Battery information Battery precautions • Do not leave batteries within the reach of children. • Do not mix new and used batteries. Do not mix brands (or types within brands) of batteries. • Do not mix rechargeable and non-rechargeable batteries. • Install batteries according to polarity (+ and -) diagrams. • Do not place non-rechargeable batteries in a battery recharger. • Properly dispose of used batteries immediately. • Do not incinerate or dismantle batteries.
Dispose of the dead battery immediately and in accordance with local regulations. 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 In case of difficulty Review instructions to be certain calculations were performed properly. Check the battery to ensure that it is fresh and properly installed.
Texas Instruments Support and Service For general information Home Page: education.ti.com KnowledgeBase and education.ti.com/support e-mail inquiries: Phone: (800) TI-CARES / (800) 842-2737 For U.S., Canada, Mexico, Puerto Rico, and Virgin Islands only International information: education.ti.com/international For technical support KnowledgeBase and education.ti.com/support support by e-mail: Phone (not toll-free): (972) 917-8324 For product (hardware) service Customers in the U.S.
