E fx-83GT PLUS fx-85GT PLUS User’s Guide CASIO Worldwide Education Website http://edu.casio.com CASIO EDUCATIONAL FORUM http://edu.casio.
Contents Important Information ............................................................. 2 Sample Operations.................................................................. 2 Initializing the Calculator ........................................................ 2 Safety Precautions .................................................................. 2 Handling Precautions.............................................................. 2 Removing the Hard Case ................................................
Important Information • The displays and illustrations (such as key markings) shown in this User’s Guide are for illustrative purposes only, and may differ somewhat from the actual items they represent. • The contents of this manual are subject to change without notice. • In no event shall CASIO Computer Co., Ltd. be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of this product and items that come with it.
• Do not subject the calculator to excessive impact, pressure, or bending. • Never try to take the calculator apart. • Use a soft, dry cloth to clean the exterior of the calculator. • Whenever discarding the calculator or batteries, be sure to do so in accordance with the laws and regulations in your particular area. * Company and product names used in this manual may be registered trademarks or trademarks of their respective owners.
Reading the Display The display of the calculator shows expressions you input, calculation results, and various indicators. Input expression Indicators Math Math Calculation result • If a indicator appears on the right side of the calculation result, it means the displayed calculation result continues to the right. Use C and B to scroll the calculation result display. • If a E indicator appears on the right side of the input expression, it means the displayed calculation continues to the right.
Important: For some type of calculation that takes a long time to execute, the display may show only the above indicators (without any value) while it performs the calculation internally. Using Menus Some of the calculator’s operations are performed using menus. Pressing or E, for example, will display a menu of applicable functions. The following are the operations you should use to navigate between menus.
Deg Rad Gra Specifies degrees, radians or grads as the angle unit for value input and calculation result display. Note: In this manual, the B symbol next to a sample operation indicates degrees, while the * symbol indicates radians. Fix Sci Norm Specifies the number of digits for display of a calculation result. Fix: The value you specify (from 0 to 9) controls the number of decimal places for displayed calculation results.
Inputting Expressions and Values Basic Input Rules Calculations can be input in the same form as they are written. When you press the priority sequence of the input calculation will be evaluated automatically and the result will appear on the display. 4 s sin30 s (30 + 10 s 3) = 120 4 Q 30 30 10 2 * 3 *1 *3 *1 Input of the closing parenthesis is required for sin, sinh, and other functions that include parentheses. *2 These multiplication symbols (s) can be omitted.
5th Negative sign (–) Note: When squaring a negative value (such as –2), the value being squared must be enclosed in parentheses ( 2 7; ). Since x2 has a higher priority than the negative sign, inputting 2 7 would result in the squaring of 2 and then appending a negative sign to the result. Always keep the priority sequence in mind, and enclose negative values in parentheses when required.
As shown above, the value or expression to the right of the cursor after )(INS) are pressed becomes the argument of the function that is specified next. The range encompassed as the argument is everything up to the first open parenthesis to the right, if there is one, or everything up to the first function to the right (sin(30), log2(4), etc.) This capability can be used with the following functions: , , ( ), :( ), 7( ), , , ( ), .
Math • 7( I ) Math 3 • • To input 1.428571428571... (1.4 28571 ) Math • 7( I ) 1 Math 428571 • • • • To calculate 1.021 + 2.312 1 Math • 7( I ) 021C • 2 7( I ) 312 Calculation result displayed as recurring decimal value: Math 5 Note: • You can specify up to 14 decimal places for the recurring decimal period. If you input more than 14 decimal places, the value will be treated as a terminating decimal and not a recurring decimal.
1 = 0.1• 42857• = 0.1428571429 (Norm 1) 7 Math 1 7 Math 5 Display as recurring decimal: Math Decimal value according to Norm 1 setting: 5 Math Return to initial display format (fraction): 5 • • 1 ÷ 7 = 1 = 0.142857 = 0.1428571429 (Norm 1) 7 Math 1 7 Math 5 Display as fraction: Math 5 Display as recurring decimal: Math Return to initial display format (Norm 1): 5 1 = 0.1• 42857• = 0.
Return to initial display format (fraction): 5 • • 1 ÷ 7 = 0.1428571429 (Norm 1) = 0.142857 = 1 7 1 1 7 Display as fraction: 5 Display as recurring decimal: 5 Return to initial display format (Norm 1): 5 Conditions for Displaying a Calculation Result as a Recurring Decimal If a calculation result satisfies the following conditions, pressing 5 will display it as a recurring decimal value.
• • • • To confirm the following: 0.123 = 123 , 0.1234 = 1234 , 999 9999 • • 12345 0.12345 = 99999 Math 123 999 Math 5 Math 1234 9999 Math 5 Math 12345 99999 Math 5 Toggling Calculation Results While Natural Display is selected, each press of 5 will toggle the currently displayed calculation result between its fraction form and decimal form, its form and decimal form, or its P form and decimal form. P ÷ 6 = 1 = 0.5235987756 6 (P) 6 1 6 (' 2 + 2) s ' 3 =' 6 + 2' 3 = 5.
Important: • Depending on the type of calculation result that is on the display when you press the 5 key, the conversion process may take some time to perform. • With certain calculation results, pressing the 5 key will not convert the displayed value. • When ON is selected for Rdec on the setup menu, pressing 5 will switch the calculation result to recurring decimal form. For details, see “Recurring Decimal Calculations”.
Degree, Minute, Second (Sexagesimal) Calculations Performing an addition or subtraction operation between sexagesimal values, or a multiplication or division operation between a sexagesimal value and a decimal value will cause the result to be displayed as a sexagesimal value. You also can convert between sexagesimal and decimal. The following is the input format for a sexagesimal value: {degrees} {minutes} {seconds} .
6 4 2 3 3 (Scrolls back.) D (Scrolls back again.) D 3+3=6 Note: Calculation history data is all cleared whenever you press , when you change to a different calculation mode, when you change the display format, or whenever you perform any reset operation. Replay While a calculation result is on the display, you can press B or C to edit the expression you used for the previous calculation. 4 × 3 + 2.5 = 14.5 1 4 3 4 × 3 − 7.1 = 4.9 (Continuing) B)))) 2.5 7.1 14.5 4.
Independent Memory (M) You can add calculation results to or subtract results from independent memory. The “M” appears on the display when there is any value other than zero stored in independent memory. To clear the contents of M To add the result of 10 s 5 to M 0 B(STO)J(M) 0 5J 50 5 J(M–) 15 BJ(M) 35 (Continuing) To subtract the result of 10 + 5 from M (Continuing) To recall the contents of M 10 (Continuing) 10 Note: Variable M is used for independent memory.
Function Calculations For actual operations using each function, see the “Examples” section following the list below. : P is displayed as 3.141592654, but P = 3.14159265358980 is used for internal calculations. e : e is displayed as 2.718281828, but e = 2.71828182845904 is used for internal calculations. sin, cos, tan, sin−1, cos−1, tan−1 : Trigonometric functions. Specify the angle unit before performing calculations. See 1 . sinh, cosh, tanh, sinh−1, cosh−1, tanh−1 : Hyperbolic functions.
RanInt# : For input of the function of the form RanInt#(a, b), which generates a random integer within the range of a to b. See 12 . nPr, nCr : Permutation (nPr) and combination (nCr) functions. See 13 . Rnd : The argument of this function is made a decimal value and then rounded in accordance with the current number of display digits setting (Norm, Fix, or Sci). With Norm 1 or Norm 2, the argument is rounded off to 10 digits. With Fix and Sci, the argument is rounded off to the specified digit.
2 = 4.242640687...) to three decimal To calculate ' 2 × 3 (= 3' places (Fix 3) 3' (SETUP) (Fix) 2C 3 2 4.243 1 2 3 4.
Statistical Calculations (STAT) To start a statistical calculation, perform the key operation (STAT) to enter the STAT Mode and then use the screen that appears to select the type of calculation you want to perform.
Important: • All data currently input in the Stat Editor is deleted whenever you exit the STAT Mode, switch between the single-variable and a pairedvariable statistical calculation type, or change the Stat Format setting on the setup menu. • The following operations are not supported by the Stat Editor: ;, ;(M–), B(STO). Pol, Rec, and multi-statements also cannot be input with the Stat Editor.
(SETUP)A (STAT) (ON) (STAT) (1-VAR) 1 2 3 4 5 AC 1 2 3 2 (STAT) (Var) (M) (STAT) (Var) (Sx) Results: Mean: 3 3 Population Standard Deviation: 1.154700538 To calculate the linear regression and logarithmic regression correlation coefficients for the following paired-variable data and determine the regression formula for the strongest correlation: (x, y) = (20, 3150), (110, 7310), (200, 8800), (290, 9310). Specify Fix 3 (three decimal places) for results.
Creating a Number Table from a Function (TABLE) TABLE generates a number table for x and f(x) using an input f(x) function. Perform the following steps to generate a number table. 1. Press (TABLE) to enter the TABLE Mode. 2. Input a function in the format f(x), using the X variable. • Be sure to input the X variable (# (X)) when generating a number table. Any variable other than X is handled as a constant. • Pol and Rec cannot be input in the function. 3.
Using VERIFY (VERIF) VERIFY is a function you can use to verify whether an input equality or inequality is true (indicated by TRUE) or false (indicated by FALSE). The following shows the general procedure for using VERIFY. To verify whether 4' 9 = 12 is true 1. Press (VERIF) to enter the VERIFY Mode. Math 2. Input 4' 9 = 12. 4 9 C (VERIFY) (=)12 • You can select the equality symbol or inequality symbol from the menu that appears when you press (VERIFY). 3. To verify, press .
• An expression in which multiple relational operators that are not oriented in the same direction (Example: 5 6 > 4) • An expression that contains two of the following operators in any combination (Example: 4 6 p 8) • An expression that contains consecutive relational operators (Example: 5 > 9) VERIFY Mode Calculation Examples To verify log2 log3 log4 (VERIF) : 2 (VERIFY) ( ) : 3 (VERIFY) ( ) : 4 3 To verify 0 2 ( 98 ) – ( 89 ) (VERIF) 0 (VERIFY) ( ) 8 9C 8 9 C7 To
cosx tanx sin–1x cos–1x DEG 0 \x\ 9 s 109 RAD 0 \x\ 157079632.7 GRA 0 \x\ 1 s 1010 DEG Same as sinx, except when \x\ = (2n–1) s 90. RAD Same as sinx, except when \x\ = (2n–1) s P/2. GRA Same as sinx, except when \x\ = (2n–1) s 100. 0 \x\ 1 tan–1x 0 \x\ 9.999999999 s 1099 sinhx coshx 0 \x\ 230.2585092 sinh–1x 0 \x\ 4.999999999 s 1099 cosh–1x 1 x 4.999999999 s 1099 tanhx 0 \x\ 9.999999999 s 1099 tanh–1x 0 \x\ 9.999999999 s 10–1 logx/lnx x 9.
x y ' y 0: x & 0, –1 s 10100 1/x logy 100 y = 0: x 0 y 0: x = 2n+1, 2n+1 (m & 0; m, n are integers) m However: –1 s 10100 1/x log \y\ 100 Total of integer, numerator, and denominator must be 10 digits or less (including division marks). RanInt#(a, b) a b; \a\, \b\ 1 s 1010; b – a 1 s 1010 a b/c • Precision is basically the same as that described under “Calculation Range and Precision”, above.
Error Messages Math ERROR Cause: • The intermediate or final result of the calculation you are performing exceeds the allowable calculation range. • Your input exceeds the allowable input range (particularly when using functions). • The calculation you are performing contains an illegal mathematical operation (such as division by zero). Action: • Check the input values, reduce the number of digits, and try again.
Replacing the Battery A low battery is indicated by a dim display, even if contrast is adjusted, or by failure of figures to appear on the display immediately after you turn on the calculator. If this happens, replace the battery with a new one. Important: Removing the battery will cause all of the calculator’s memory contents to be deleted. 1. Press (OFF) to turn off the calculator. 2.
I What is the difference between Ans memory, independent memory, and variable memory? Each of these types of memory acts like “containers” for temporary storage of a single value. Ans Memory: Stores the result of the last calculation performed. Use this memory to carry the result of one calculation on to the next. Independent Memory: Use this memory to totalize the results of multiple calculations.
