• • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • •• • • • • • • • • • • • • • • • •• • • • • • • • • • • • • • • •• • • • • • • • • • • • • • • fx-82SOLAR fx-85B fx-260SOLAR fx-280 •• • • • • • • • • • • • • • • • • • •• • • • • • • • • • • • • • • • • • •• • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • •
fx-82SOLAR/ fx-260SOLAR ENGLISH ESPAÑOL FRANÇAIS 1 36 73 fx-85B/fx-280 DEUTSCH 110 ITALIANO 147
CASIO ELECTRONICS CO., LTD. Unit 6, 1000 North Circular Road, London NW2 7JD, U.K.
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 temperatures, 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.
fully reread this manual and ensure that the problem is not due to low battery power (fx-85B/fx-280) 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 at the top of the display screen. • DEG, RAD, and GRA modes can be used in combination with COMP and SD modes. • F9 does not exit SD mode. • F0 exits SD mode. • F0 does 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.
• Example 7: 4/3π53 4\3 -Ax- 5AN = 523.5987756 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 12 - - 2.3 = K 27.6 9E= K –108. 17 + + = K 34. (17 17 17) = K 51. (17 17 17 17) = K 68. • Example 2: 12 2.3, then 12 ( 9) (12 2.
• Example 4: 1.74 8.3521 (1.7 2) 1.7 - - = K (1.7 ) = K 4.913 (1.7 4) = K 8.3521 3 2.89 Memory Calculations • Use the COMP mode for memory calculations. • Use A Y, |, A { and Z for memory calculations. A Y replaces current memory contents. • “M” appears when there is a value in memory. • To clear memory, press 0 A Y or t A Y . • Example 1: (53 6) (23 8) (56 2) (99 4) 210.75 (53 6) 53 + 6 = A Y M 59. (23 8) 23 , 8 | M 15. (56 2) 56 - 2 | M 112. (99 4) 99 \ 4 | M 24.75 Z M 210.
M 13. • Example 3: To calculate the following using memory and a constant: (12 3) (45 3) (78 3) 135. (12 3) 3 - - 12 = A Y MK 36. (45 3) 45 A { MK 135. (78 3) 78 | MK 234. Z MK 135. (Memory recall) kAdditional fx-85B/fx-280 Memory Calculations • The fx-85B/fx-280 has two additional memories named A and B. • Use A J to store data and 0 to recall data. • Storing data in a memory replaces anything stored there previously. • To clear a memory, store a zero in it.
t01 123. • Example 2: To store the results of 123 456 in memory B. t 123 - 456 A J 2 56088. t02 56088. Fraction Calculations • Use COMP mode for fraction calculations. • Total number of digits (including division marks) cannot exceed 10. 2 4 7 • Example 1: 3 5 115 1 7 15. 2C3+4C5= • Example 2: 3 1 2 11 1 4 4 3 12 3C1C4+ 1C2C3= • Example 3: 2 1 4 2 2C4 4 11 12. 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= • Example 6: 1 1 2. C 0.5 C 1 2. 1C 2C 3 1 2 3. 2 5 ↔ 3 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 + — 10 — 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. (23%) 23 A v K 276. 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.
• Example 2: 1°2’3” + 4.56 = 5.594166667 1 I 2 I 3 I + 4.56 = 5.594166667 • Example 3: sin 87°65’43.21” = 0.999447513 (DEG mode) 87 I 65 I 43.21 I S 0.999447513 • Example 4: 1.23↔ 1°13’48” 1.23 I 1°13°48. I 1.23 I 1°13°48. • Example 5: 12°34’ ↔ 12.56666667 12 I 34 I A O 12.56666667 You can also use I when inputting values to convert between sexagesimal and decimal. kTrigonometric/Inverse Trigonometric Functions • Example 1: sin ( rad) (RAD mode) 6 Ax\6=S — 12 — RAD 0.
• Example 2: cos 63°52’41” (DEG mode) 63 I 52 I 41 I W DEG 0.440283084 • Example 3: tan ( 35gra)(GRA mode) GRA 35 E h –0.612800788 • Example 4: cos–1 ( 2 rad) (RAD mode) 2 2A L\2=A V RAD 0.785398163 • Example 5: To convert 45 degrees to radians, grads, and back to degrees. F 4 45 DEG 45. RAD A F 5 0.785398163 AF6 AF4 GRA 50. DEG 45. Repeated conversion between angle units can cause normally minute error to accumulate, resulting in poor precision.
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 2w3= 8. • Example 6: 2 3 2w3E= 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 DEG A Q 0.526540784 To convert to antilogarithm: 8As3= • Example 9: 81/3 2. k Square Roots, Cube Roots, Squares, Reciprocals and Factorials • Example 1: 2 3 5 2AL+3 AL- 5A L= 5.287196909 • Example 2: 3 5 3 27 5 A D + 27 E A D = –1.290024053 • Example 3: 123 302 123 + 30 K = 1023. 1 • Example 4: 1 1 3 4 3AX, 4A X= AX — 15 — 12.
• Example 5: 8! 8 Af 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 F 9 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 • Press F 9 to clear SCI specification.
• Example 4: To convert 56,088 meters to kilometers. 56088 A J 56.088 03 • Example 5: To convert 0.08125 grams to milligrams. .08125 A 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 = AN DEG 1. DEG 1.732050808 A N swaps displayed value with value in memory.
θ RAD A N 1.047197551 kPermutation • Example: To determine how many different 4-digit values can be produced using the numbers 1 through 7. 7Am4= 840. kCombination • Example: To determine how many different 4-member groups can be organized in a group of 10 individuals. 10 A n 4 = 210. Statistical Calculations (SD Mode) • Press F l to enter the SD Mode for statistical calculations using standard deviation. • If FIX or SCI is on the display, press F 9 first. • Data input always starts with A u .
Input Data. A u 55 } 54 } 51 } 55 } 53 } } SD 54 } 52 } 52. Sample standard deviation Aq 1.407885953 Population standard deviation Ap 1.316956719 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 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 }.
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.
Technical Information kKeys and Their Functions • General Arithmetic calculations .......................... +, ,, -, ............. \, = Backspace ............................................ Q Clear(retains memory) .......................... k Number input ........................................ 0 – 9, l Power on; All clear ................................ t Sign change .......................................... E • Memory Memory in ............................................. A Y Memory minus .........
Memory B store ..................................... A J 2 Memory M store .................................... A J 3 • Special Display/memory swap ........................... A N, Ad Exponent ............................................... e Internal rounding ................................... A b Parentheses .......................................... O, P Pi (3.1415926536) ................................ A x Select mode .......................................... F Sexagesimal ...........................
Cube ..................................................... A N Cube root .............................................. A D Engineering ........................................... A J, AP Factorial ................................................ A f Fraction ................................................. C Fraction ................................................. A B Hyperbolic ............................................. M Natural antilogarithm ............................. A U Natural logarithm ....
• Statistics (SD Mode) Arithmetic mean .................................... A ` Data delete ............................................ A [ Data input .............................................. } Number of data ..................................... A r Population standard deviation ............... A p Sample standard deviation .................... A q Statistical register clear ......................... A u Sum of squares of values ..................... A a Sum of values ...............................
To switch between NORM 1 and NORM 2 Press F 9. There is no indication on the display of which format is currently in effect, but you can determine the setting by performing the following calculation. 1 \ 200 = 5. –03 0.005 NORM 1 format NORM 2 format • All of the examples in this manual show calculation results using the NORM 1 format. kWhen you have a problem... If calculation results are not what you expect or if an error occurs, perform the following steps. 1. F 0 (COMP mode) 2. F 4 (DEG mode) 3.
• 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 (+ , ,, -, \, w , As , etc.) you just pressed, simply press the correct operator key. In this case, the operator of the last key you press is used, but the operation retains the order of precedence of the operation for the first key you pressed. kOverflow or Error Check The following conditions make further calculation impossible. a.
• 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 ). Instead, the display shows all zeros. kPower Supply • fx-82SOLAR/fx-260SOLAR This calculator is powered by a solar cell that converts available light into electrical power.
Important! Incorrect use of batteries can cause them to burst or leak, possibly damaging the calculator. • Be sure to replace the battery at least once every three years, regardless of how much the calculator is used. Old batteries may leak, causing serious damage to the interior of the calculator. • The battery that comes with the calculator when you purchase it is for testing only. It may not provide full service life. • Low bettery power can cause memory contents to become corrupted or lost completely.
5. Press t to turn power on. 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 operations enclosed in the innermost set of parentheses are performed first. • Registers L1 through L6 store operations.
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 180°. The calculation range is the same for of –180° θ radians and grads.
Permutation • Input range: n 0 (n, r : integers) r n! • Formula: nPr (n r)! Combination • Input range: n 0 (n, r : integers) r • Formula: nCr n! n!(n r)! Population Standard Deviation n (xi – x) n 2 i 1 n x2 – ( x)2 / n n Sample Standard Deviation n n – 1 (xi – x) i 1 n–1 2 x2 – ( x)2 / n Arithmetic Mean n o xi x n n i 1 — 31 — n–1
kSpecifications Power Supply : fx-82SOLAR/fx-260SOLAR : Solar cell fx-85B/fx-280 : CASIO TWO-WAY POWER System: solar cell plus one G13 Type (SR44 or LR44) battery Battery Life (fx-85B/fx-280) : Approximately 3 years (1 hour use per day) on LR44/SR44 battery Input Ranges : Functions Input Range sinx cosx tanx However, for tan x: (DEG) x 9 109 x ≠ 90(2n 1):DEG 7 (RAD) x 5 10 rad x ≠ 2·(2n 1):RAD 10 (GRA) x 1 10 grad x ≠ 100(2n 1):GRA sin–1x cos–1x x tan –1x x 1 10100 sinhx coshx x tanhx
Functions Input Range tanh –1x x 1 logx/lnx 1 10–99 x x 1 10100 x 100 10 –1 10 ex –1 10100 x x 100 0 230.2585092 x 1 10100 x2 x 1 1050 x3 x 2.
Functions Input Range xy x 0: –1 10100 y log x 100 x 0: y 0 x 0: y n; 1 (n is an integer) 2n 1 However: –1 10100 y log x 100 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 10 100 1/y log x 100 a b/ c Total of integer, numerator, and denominator must be 10 digits or less(including division marks).
Operating Temperature: 0°C–40°C (32°F–104°F) Dimensions: fx-82SOLAR/fx-260SOLAR: 8(H) 66.5(W) 125(D) mm 5/16"(H) 2-5/8"(W) 4-15/16"(D) fx-85B/fx-280: 13.5(H) 73(W) 144.5(D) mm 1/2"(H) 2-7/8"(W) 5-5/8"(D) Weight: fx-82SOLAR/fx-260SOLAR: 47 g (1.7oz) fx-85B/fx-280: 67 g (2.
CASIO COMPUTER CO., LTD.