• • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • •• • • • • • • • • • • • • • • • • • •• • • • • • • • • • • • • • • • • • •• • • • • • • • • • • • • • • • • • fx-82SX/ fx-250HC •• • • • • • • • • • • • • • • • • • •• • • • • • • • • • • • • • • • • • •• • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • •
CASIO ELECTRONICS CO., LTD. Unit 6, 1000 North Circular Road, London NW2 7JD, U.K.
ENGLISH ESPAÑOL 1 33 FRANÇAIS 66 DEUTSCH 99 ITALIANO 134 Contents Handling Precautions … 2 Modes … 3 Basic Calculations … 5 Constant Calculations … 6 Memory Calculations … 7 Fraction Calculations … 8 Percentage Calculations … 10 Scientific Function Calculations … 11 Statistical Calculations (SD Mode) … 16 Technical Information … 18 —1—
Handling Precautions • Your calculator is made up of precision components. Never try to take it apart. • Avoid dropping your calculator and otherwise subjecting it to strong impact. • Do not store the calculator or leave it in areas exposed to high temperature or humidity, or large amounts of dust. When exposed to low temperature, the calculator may require more time to display results and may even fail to operate. Correct operation will resume once the calculator is brought back to normal temperature.
• Before assuming malfunction of the unit, be sure to carefully reread this manual and ensure that the problem is not due to low battery power or operational error. • The contents of this manual are subject to change without notice. • No part of this manual may be reproduced in any form without the express written consent of the manufacturer. • Keep this manual on hand for future reference.
Note! • A mode guide is located above the display screen. • DEG, RAD, and GRA modes can be used in combination with the COMP and SD modes. • F9does not exit SD mode. • F0exits SD mode. • F0does not clear SCI or FIX specifications. • Always press t before entering DEG, RAD, and GRA modes. • Remember to always set the operating mode and angular unit (DEG, RAD, GRA) before starting your calculation.
Basic Calculations • Use the COMP mode for basic calculations. • Example 1: 23 4.5 53 23 + 4.5 , 53 = –25.5 • Example 2: 56 ( 12) ( 2.5) 56 - 12 E \ 2.5 E = 268.8 • Example 3: 2 3 (1 1020) 2 \ 3 -1 e 20 = 6.66666666719 • Example 4: 7 8 4 5=36 • Example 5: 7-8,4-5= 36. 6 =0.3 4 5 4-5 \6AN = 0.3 • Example 6: 2 [7 6 (5 4)] 122 2-O7+6- O 5+ 4PP = • You can skip all P operations before the = key. —5— 122.
Constant Calculations • Press +, , , -,or \ twice after inputting a number to make that number a constant. • “K” is on the display while a constant is being used. • Use the COMP mode for constant calculations. • Example 1: 2.3 3, then 2.3 6 (2.3 3) 2.3 + + 3 = K 5.3 (2.3 6) 6= K 8.3 • Example 2: 12 2.3, then 12 ( 9) 12 - - 2.3 = K 27.6 9E= K –108. 17 + + = K 34. (17 17 17) = K 51. (17 17 17 17) = K 68. (1.72) 1.7 - - = K 2.89 (1.73) = K 4.913 (1.74) = K 8.3521 (12 2.
Memory Calculations • Use the COMP mode for memory calculations. • Use Y, |, A { and Z for memory calculations. Y replaces current memory contents. • “M” appears when there is a value in memory. • To clear memory, press 0 Y or t Y. • Example 1: (53 6) (23 8) (56 2) (99 4) 210.75 (53 6) 53 + 6 = Y M (23 8) 23 , 8 | M 15. (56 2) 56 - 2 | M 112. (99 4) 99 \ 4 | M 24.75 Z M 210.75 (Memory recall) 59. • Example 2: To calculate the following using memory as shown. M —7— 13.
• Example 3: To calculate the following using memory and a constant: (12 3) (45 3) (78 3) 135. (12 3) 3 - - 12 = Y MK 36. (45 3) 45 A { MK 135. (78 3) 78 | MK 234. Z MK 135. (Memory recall) Fraction Calculations • Use COMP mode for fraction calculations. • Total number of digits (including division marks) cannot exceed 10. 2 4 7 • Example 1: 1 3 5 15 2C3+4C5= 1 7 15. • Example 2: 3 • Example 3: 1 2 11 1 4 4 3 12 3C1C4+ 2 1 4 2 1C2C3= 4 11 12. 2 C4 2 4. = 1 2.
• Example 4: 1 1.6 2.1 2 1 C 2 + 1.6 = 2.1 Fraction/decimal calculation result is always decimal. • Example 5: 1 ↔ 0.5 (Fraction ↔ Decimal) 2 1C2= 1 2. C 0.5 C 1 2. • Example 6: 1 2 ↔ 5 3 3 1C2C3 1 2 3. AB 5 3. AB 1 2 3.
Percentage Calculations • Use COMP mode for percentage calculations. • Example 1: To calculate 12% of 1500. 1500 - 12 A v 180. • Example 2: To calculate what percentage of 880 is 660. 660 \ 880 A v 75. • Example 3: To add 15% onto 2500. 2500 - 15 A v + 2875. • Example 4: To discount 3500 by 25%. 3500 - 25 A v , 2625. • Example 5: To calculate the following, using a constant. 12% of 1200 = 144 18% of 1200 = 216 23% of 1200 = 276 (12%) 1200 - - 12 A v K 144. (18%) 18 A v K 216.
Scientific Function Calculations • • • • Use COMP mode for scientific function calculations. Some calculations may take a long time to complete. Wait for result before starting next calculation. =3.1415926536. kSexagesimal ↔ Decimal Conversion • Example: 14°25’36” ↔ 14.42667 14 I 25 I 36 I 14.42666667 AO 14°25°36 kTrigonometric/Inverse Trigonometric Functions • Example 1: sin ( rad) (RAD mode) 6 Ax\6=S RAD 0.5 • Example 2: cos 63°52’41” (DEG mode) 63 I 52 I 41 I W DEG 0.
kHyperbolic/Inverse Hyperbolic Functions • Example 1: sinh 3.6 • Example 2: sinh 1 30 3.6 M S 18.28545536 30 M A j 4.094622224 kCommon and Natural Logarithms, Exponents 1.23 R 0.089905111 90 T 4.49980967 Iog 64 • Example 3: Iog 4 64 R \ 4 R = 3. • Example 1: log 1.23 • Example 2: In 90 ( loge 90) • Example 4: 100.4 5 e 3 .4 A Q + 5- 3E AU= 2.760821773 2 A w3 = 8. • Example 6: 2 3 2Aw3E= 0.125 • Example 7: e10 10 A U 22026.
• Example 8: log sin 40° +log cos 35° (DEG mode) DEG 40 S R + 35 W R = –0.278567983 • Example 9: 81/3 DEG AQ 0.526540784 8As3= 2. To conver t to antilogarithm: k Square Roots, Cube Roots, Squares, Reciprocals and Factorials 2 3 5 • Example 1: 2L+ 3L -5L = • Example 2: 3 5.287196909 3 5 27 5 A D + 27 E A D = –1.290024053 • Example 3: 123 302 123 + 30 A K = 1023. 1 • Example 4: 1 1 3 4 3AX,4AX=A X — 13 — 12.
• Example 5: 8! 8Af 40320. kFIX, SCI, NORM, RND, RAN#, ENG Calculations • Example 1: 1.234 1.234, rounding result to two places (FIX 2). FIX F72 0.00 1.234 +1.234 = 2.47 FIX • Example 2: 1.234 1.234, rounding input to two places. F 7 2 1.234 A b + 1.234 A b = FIX 2.46 • Press F9 to clear FIX specification. • Example 3: 1 3 , displaying result with two significant digits (SCI 2). SCI F82 0.0 00 1 \3 = 3.3–01 SCI • Press F9 to clear SCI specification.
• Example 5: To convert 0.08125 grams to milligrams. .08125 J 81.25–03 • Example 6: To generate a random number between 0.000 and 0.999. Example (results differ each time) Ac 0.664 kCoordinate Conversion • Example 1: To convert polar coordinates (r 2, 60°) to rectangular coordinates (x, y). (DEG mode) x y 2 A z 60 = DEG 1. DEG A N 1.732050808 ANswaps displayed value with value in memory. • Example 2: To convert rectangular coordinates (1, 3 ) to polar coordinates (r, ).
kCombination • Example: To determine how many different 4-member groups can be organized in a group of 10 individuals. 10 A n 4 = 210. Statisticasl Calculations (SD Mode) • Press Flto enter the SD Mode for statistical calculations using standard deviation. • If FIX or SCI is on the display, press F9 first. • Data input always starts with Au . • Example: To calculate n 1, n, o, n, x, and x2 for the following data : 55, 54, 51, 55, 53, 53, 54, 52. Enter SD Mode. Input Data. Fl SD 0.
SD Arithmetic mean A` 53.375 Number of data Ar 8. Sum of values Ao 427. Sum of squares of values Aa 22805. SD SD SD • }} inputs the same data twice (as above). • You can also input multiple entries of the same data using -. To input the data 110 ten times, for example, press 110 -10 }. • The above results can be obtained in any order, and not necessarily that shown above. • To delete data you have just input, press A[.
kMaking Corrections During Data Input • Example 1: To change data you have just input. Correct Actual 51 } 50 } 130 31 } 120 - 130 31 } 120 31 Correction A[ 51 } t130 31 } t130 31 } • Example 2: To change data you previously input. Correct Actual Correction 51 } 49 } 49 A [ 51 } 130 31 } 120 30 } 120 - 30 A [130 31 } Technical Information kKey and Their Functions • General Arithmetic calculations .......................... +, ,, -, .............
Clear (retains memory) ......................... k Number input ........................................ 0 – 9, l Power off ............................................... i Power on; All clear ................................ t Sign change .......................................... E • Memory Memory in ............................................. Y Memory minus ...................................... A { Memory plus ......................................... | Memory recall ................................
• Scientific Functions Arc cosine ............................................. A V Arc sine ................................................. A j Arc tangent ............................................ A g Common antilogarithm .......................... A Q Common logarithm ................................ R Cosine ................................................... W Cube root .............................................. A D Engineering ........................................... J, A P Factorial .....
Square .................................................. A K Square root ........................................... L Tangent ................................................. h Permutation ........................................... A m Combination .......................................... A n • Statistics (SD Mode) Arithmetic mean .................................... A ` Data delete ............................................ A [ Data input ..............................................
• NORM 1 With NORM 1, exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than two decimal places. • NORM 2 With NORM 2, exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than nine decimal places. To switch between NORM 1 and NORM 2 Press F9 .
kMaking Corrections During Calculations • If you make a mistake when inputting a value (but did not yet press an arithmetic operator key), press k to clear the value and then input the correct one. • In a series of calculations, press k while an intermediate result is displayed to clear only the last calculation performed. • To change the operator key ( +, , , - , \, A w , A s , etc.) you just pressed, simply press the correct operator key.
e. The total number of nested parentheses levels exceeds six, or when more than 18 pairs of parentheses are used. (“– 1–” indicator appears on the display.) • To clear any of the above conditions, press t and perform the calculation from the beginning. • In the case of condition e, you could also press k. This clears the intermediate result just prior to the overflow, so you can continue with the calculation from that point. • No error occurs when the result is within the range of (1 10 99) to (1 10 99).
• The batteries that come in the calculator when you purchase it are for testing only. They may not provide full service life. • All data stored in memory is lost when you replace the batteries. Be sure to write down important data before replacing the batteries. • Always be sure to load the batteries so their positive ( ) and negative ( ) ends are facing correctly. • Never mix batteries of different types. • Never mix new batteries with old ones.
kOrder of Operations and Levels Operations are performed in the following order of precedence. 1. Functions 2. xy, x 1/y, R →P, P →R, nPr, nCr 3. , 4. , • Operations with the same precedence are performed from left to right, with operations enclosed in parentheses performed first. If parentheses are nested, the operaitons enclosed in the innermost set of parentheses are performed first. • Registers L1 through L6 store operations. There are six registers, so calculations up to six levels can be stored.
Register Contents x 4 L1 (( 5 L2 4 L3 ((( 3 L4 2 L5 L6 kFormulas, Ranges, and Conventions The following are the formulas, ranges, and conventions that are applied to various calculations that can be performed using this calculator. Coordinate Transformation • With polar coordinates, θ can be calculated within a range of –180° θ 180°. The calculation range is the same for radians and grads.
Permutation • Input range: n r 0 (n, r : natural numbers) n! • Formula: nPr (n r)! Combination • Input range: n r 0 (n, r : natural numbers) n! • Formula: nCr n!(n r)! Population Standard Deviation Sample Standard Deviation Arithmetic Mean — 28 —
kSpecifications Power supply : Two AA-size manganese dry batteries (UM-3 or R6P (SUM-3)) Battery Life: Approximately 9,000 hours continuous operation on type UM-3, 11,000 hours continuous operation on R6P(SUM-3) Power Consumption: 0.0004W Input Ranges: Functions Input Range sinx cosx tanx However, for tan x: (DEG) x 9 109 (RAD) x 5 107 rad x ≠ 90(2n 1):DEG (GRA) x 1 10 10 grad x ≠ 2·(2n 1):RAD x ≠ 100(2n 1):GRA sin–1 x cos–1x tan–1x sinhx coshx x 1 x 1 10100 x 230.
Functions ex x Input Range –1 10100 x 0 230.
Functions Input Range x1/y x 0: y ≠ 0 –1 10100 1/y log x 100 x 0: y 0 x 0: y 2n 1; 1 (n ≠ 0; n is an integer) n However: –1 10100 1/y log x 100 a b/c Total of integer, numerator, and denominator must be 10 digits or less (including division marks). SD x 1 1050 n 1 10100 n , o : n ≠ 0 n –1 : n ≠ 0, 1 • Errors are cumulative with such internal continuous calculations as xy, x1/y , x!, and 3 x , so accuracy may be adversely affected.
Calculation Capacity: • Input/ Basic Calculations 10-digit mantissa; or 10-digit mantissa plus 2-digit exponent up to 10±99 — 32 —
CASIO COMPUTER CO., LTD.
