Casio fx-82SOLAR II, fx-260SOLAR II NF User guide

Example 5:
1 2
↔ 0.5 (Fraction Decimal)
1 C 2 =
1
2.
C
C
1
2.
Example 6: 1
1 C 2 C 3
1
2 3.
A B
5
3.
A B
1
2 3.
Percentage Calculations
• Use COMP mode for percentage calculations.
Example 1: To calculate 12% of 1500.
150 0 - 12 A v
180.
Example 2: To calculate what percentage of 880 is 660.
660 \ 880 A v
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.
(23 %)
23 A v
K
276.
Example 6: 300 grams are added to a test sample originally weighing 500 grams, producing a final test sample of 800 grams. What percent of 500 grams is 800 grams?
300 + 500 A v
160.
Example 7: What is the percentage change when a value is increased from 40 to 46?
46 , 40 A v
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.
π = 3.1415926536.
k Sexagesimal Functions
Example 1: 14°25’36” + 12°233 4” = 26°4910
14 I 25 I 36 I + 12 I 23 I 34 I =
26°49°10.
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 1348
1.2 3 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.
k
Trigonometric/Inverse Trigonometric Functions
Example 1: sin (
π
6
rad) (R AD mode)
A x \ 6 = S
RAD
Example 2: cos 63°5241” (DEG mode)
63 I 52 I 41 I W
DEG
0.440283084
Example 3: tan (35gra)(GRA mode)
35 E h
GRA
–0.612800788
Example 4: cos–1 (
2
2
rad) (RAD mode)
2 A L \ 2 = A V
RAD
0.785398163
Example 5: To convert 45 degrees to radians, grads, and back to degrees
F 4 45
DEG
A F 5
RAD
0.785398163
A F 6
GRA
A F 4
DEG
Repeated conversion between angle units can cause
normally minute error to accumulate, resulting in poor precision.
k Hyperbolic/Inverse Hyperbolic Functions
Example 1: sinh 3.6
3.6
M S
18.28545536
Example 2: sinh
1
30
30
M A j
4.094622224
2 3
5 3
fx-82SOLAR II fx-260SOLAR II fx-260SOLAR II NF
Basic Calculations
• Use the COMP mode for basic calculations.
Example 1: 23ѿ4.5Ҁ53
23 + 4.5 , 53 =
–25.5
Example 2: 56҂(Ҁ12)쐦(Ҁ2.5)
56 -12 E \ 2.5 E =
268.8
Example 3: 2쐦3҂(1҂1020)
2 \ 3 -1 e 20 =
6.666666667
19
Example 4: 7҂8Ҁ4҂5 = 36
7 - 8 , 4 - 5 =
Example 5: = 0.3
4 - 5 \ 6 A N =
0.3
Example 6: 2҂[7ѿ6҂(5ѿ4)] ҃ 122
2 - O 7 + 6 -
O
5 + 4 P P =
122.
You can skip all P operations before the = key.
Example 7:
4 3
π҂5
3
4 \ 3 - A x - 5 A N =
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: 2.3ѿ3, then 2.3ѿ6
(2.3ѿ3)
2.3 + + 3 =
K
5.3
(2.3ѿ6)
6 =
K
8.3
Example 2: 12҂2.3, then 12҂(9)
(12҂2.3)
12 - - 2.3 =
K
27.6
(12҂(9))
9 E =
K
–108.
Example 3: 17ѿ17ѿ17ѿ17 ҃ 68
(17ѿ17 )
17 + + =
K
34.
(17ѿ17ѿ17)
=
K
51.
(17ѿ17ѿ17ѿ17)
=
K
68.
Example 4: 1.74 ҃ 8.3521
(1.72)
1.7 - - =
K
2.89
(1.73)
=
K
4.913
(1.74)
=
K
8.3521
Memory Calculations
Use the COMP mode for memor y calculations.
• Use
AY, |, A{ and Z for memory calculations.
AY replaces current memor y contents.
M” appears when there is a value in memor y.
To clear memory, press
0AY or tAY.
Example 1: (53ѿ6)ѿ(23Ҁ8)ѿ(56҂2)ѿ(994) ҃ 210.75
(53ѿ6)
53 + 6 = A Y
M
59.
(238)
23 , 8 |
M
15.
(56҂2)
56 - 2 |
M
112.
(994)
99 \ 4 |
M
24.75
(Memo ry recall)
Z
M
210.75
Example 2: To calculate the following using memory as shown.
M
13.
Example 3: To calculate the following using memory and a constant: (12҂3)(45҂3)ѿ(78҂3)҃135.
(12҂3)
3 - - 12 = A Y
MK
36.
(45҂3)
45 A {
MK
135.
(78҂3)
78 |
MK
234.
(Memo ry recall)
Z
MK
135.
Fraction Calculations
(fx-82SOLAR II/fx-260SOLAR II only)
Use COMP mode for fraction calculations.
Total number of digits (including division marks) cannot exceed 10.
Example 1: ѿ ҃ 1
2 C 3 + 4 C 5 =
1
7 15.
Example 2: 3 ѿ1 ҃ 4
3
C 1 C 4 +
1 C 2 C 3 =
4
11 12.
Example 3: ҃
2 C 4
2
4.
=
1
2.
Example 4: ѿ1.6 ҃ 2.1
1 C 2 + 1.6 =
Fraction/decimal calculation result is always decimal.
6
4҂5
23457
15
142
3
11 12
241
2
1 2
Handling Precautions
• Be sure to press the 5 key before using the calculator.
• 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.
• The display will go blank and keys will not operate during calculations. When you are operating the keyboard, be sure to watch the display to make sure that all your key operations are being per formed correctly.
• With certain calculations, it may take some time before the result is displayed. The display is blank while a calculation is in progress.
• Avoid using volatile liquids such as thinner or benzine to clean the unit. Wipe it with a soft cloth, or with a cloth that has been dipped in a solution of water and a neutral detergent and wring out.
• In no event will the manufacturer and its suppliers be liable to you or any other person for any damages, expenses, lost profits, lost savings, or any other damages arising out of malfunction, repairs, or insufficient light. The user should prepare physical records of data to protect against such data loss.
• Never dispose of the liquid crystal panel, or other components by burning them.
• Before assuming malfunction of the unit, be sure to carefully reread this manual and ensure that the problem is not due to 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 writ ten consent of the manufacturer.
• Be sure to keep all user documentation handy for future reference.
Modes
Application
Key
Operation
Mode
Name*
Standard deviation calculations
Fl
SD
Normal calculations
F0
COMP
Calculations using degrees
F4
DEG
Calculations using radians
F5
RAD
Calculations using grads
F6
GRA
Number of decimal place specification
F7
FIX
Number of significant digit specification
F8
SCI
Cancels FIX and SCI settings
F9
NORM
* Display indicators show current mode setting. Absence of
display indicator indicates COMP Mode.
• The above table is printed on the back of the calculator.
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.
User’s Guide
RJA536287-001V02
EN
SA1612-B Printed in China
© 2017 CASIO COMPUTER CO., LTD.
k Common and Natural Logarithms, Exponents
Example 1: log 1.23
1.2 3
R
0.089905111
Example 2: In 90 (҃loge 90)
90 T
4.49980967
Example 3:
Iog 64
Iog 4
64 R \ 4 R =
3.
Example 4: 10
0.4
ѿ5 e
3
.4 A Q +
5 - 3 E A U =
2.760821773
Example 5: 2
3
2 w 3 =
8.
Example 6: 2
3
2 w 3 E =
0.125
Example 7: e
10
10 A U
22026.46579
Example 8: log sin 40°+ log cos 35° (DEG mode)
40 S R +35 W R =
DEG
–0.278567983
To convert to antilogarithm:
A Q
DEG
0.526540784
Example 9: 8
1/3
8 A s 3 =
2.
k Square Roots, Cube Roots, Squares,
Reciprocals and Factorials
Example 1:
2 ѿ 3 ҂ 5
2 A L + 3 A L - 5 A L =
5.287196909
Example 2:
3
5 ѿ
3
27
5 A D + 27 E A D =
–1.290024053
Example 3: (30)
2
30 E K
900.
Example 4: 1
1
3 4
1
3 A X , 4 A X =
A
X
Example 5: 8!
8 A f
40320.
k FIX, SCI, NORM, RND, RAN#, ENG Calculations
Example 1: 1.234ѿ1.234, rounding result to two places
(FIX 2).
F 7 2
FIX
0.00
1.2 34 +1.2 34 =
FIX
2.47
Example 2: 1.23 4ѿ1.234, rounding input to two places.
F 7 2 1.234 A b +
1.2 34 A b =
FIX
2.46
• Press F 9 to clear FIX specification.
Example 3: 13, displaying result with two significant
digits (SCI 2).
F 8 2
SCI
0.0
00
1 \ 3 =
SCI
–01
• Press F 9 to clear SCI specification.
Example 4: To convert 56,088 meters to kilometer s.
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.
Exampl e (results diffe r each time)
A c
0.664
k Coordinate Conversion
Example 1: To convert polar coordinates (r҃2,
҃60°) to
rectangular coordinates (
x, y). (DEG mode)
x
2
A z 60 =
DEG
1.
y
A N
DEG
1.732050808
A N swaps displayed value with value in memory.
Example 2: To convert rectangular coordinates (1,
3 ) to
polar coordinates (
r,
). (RAD mode)
r
1
A y 3 A L =
RAD
2.
θ
A N
RAD
1.047197551
k Permutation
Example: To determine how many different 4 -digit values
can be produced using the numbers 1 through 7.
7 A m 4 =
840.
k Combination
Example: To determine how many different 4-member
groups can be organized in a group of 10 individuals.
10 A n 4 =
210.
CASIO Worldwide Education Website
http://edu.casio.com
Manuals are available in multi languages at
http://world.casio.com/manual/calc
fx-82SOLAR
,,
fx-260SOLAR
,,
fx-260SOLAR ,, NF
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.
Example: To calc ul at e
nҀ1, n, o , n, ⌺x, and ⌺x
2
for the
following data: 55, 54, 51, 55, 53, 53, 54, 52
Enter SD Mode.
F l
SD
0.
Input Data.
A u
55
}
54 } 51
}
55 } 53 }
}
54 } 52
}
SD
Sample standard deviatio
n
A q
SD
1.407885953
Population standard deviation
A p
SD
1.316956719
Arithmetic mean
A `
SD
53.375
Number of data
A r
SD
8.
Sum of values
A o
SD
427.
Sum of squares of values
A a
SD
22805.
} } 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 [.
k Making Corrections During Data Input
Example 1: To change data you have just input.
Correct Actual Correction
51
}
50
}A
[
51
}
130
-
31
}
120
-t
130
-
31
}
130
-
31
}
120
-31t
130
-
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
k Keys and Their Functions
• General
All clear ................................................ t
Arithmetic calculations ......................... +, ,, -,
.............. \ , =
Backspa ce ........................................... Q
Clear (retains memory) ........................k
Number input .......................................09, l
Power on; All reset ............................... 5
Sign change ......................................... E
• Memory
Memory in ............................................A Y
Memory minus .....................................A {
Memory plus ........................................|
Memory recall ......................................Z
• Special
Display/memory swap ......................... A N, A d
Expone nt .............................................. e
Internal rounding .................................. A b
Parenthese s .........................................O, P
Pi (3.1415926536) ................................ A x
Select mode ......................................... F
Sexagesim al ........................................ I, A O
Shifts key functions .............................. A
• Scientific Functions
Arc cosine ............................................A V
Arc sine ................................................ A j
Arc tangent ........................................... A g
Common antilogarithm ........................A Q
Common logarithm .............................. R
Convert to degrees ..............................A F 4
Convert to grads ..................................A F 6
Convert to radians ................................ A F 5
Cosine .................................................. W
Cube ..................................................... A N
Cube root ............................................. A D
Engineer ing .......................................... A J, A P
Factorial ............................................... A f
Fraction* ............................................... C
Fraction* ............................................... A B
Hyperb olic ............................................ M
Natural antilogarithm ...........................A U
Natural logarithm .................................T
Percent ................................................. A v
Polar-to-rec tangular ............................. A z
Power ................................................... w
Random number ..................................A c
Recipr ocal ............................................ A X
Rectan gular-to-po lar ............................ A y
Example: The following operation uses 4 levels and 5 nested parentheses.
2
- O O O 3 + 4 - O O 5 + 4
The table below shows register contents following the
above input.
Register Contents
x4
L
1
(( 5
ѿ
L
2
4
҂
L
3
((( 3
ѿ
L
4
2
҂
L
5
L
6
k Formulas and Ranges
The following are the formulas and ranges 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
of180°
θ
180°. The calculation range is the same for
radians and grads.
\
<
;
3[ \
[
U
<
3RO
5HF
;
θ
θ
3U
Permutation
Input range:
n r 0 (n, r : integers)
• Formula: nPr ҃
Combination
Input range:
n r 0 (n, r : integers)
• Formula: nCr ҃
Population Standard Deviation
Q҃
Q
L ҃ 1
Q
([L[)
2
҃
Q
[
2
– ([)2 / Q
Sample Standard Deviation
Q1҃
Q– 1
L ҃ 1
Q
([L[)
2
҃
[
2
– ([)2 / Q
Q– 1
Arithmetic Mean
o҃
Q
L ҃ 1
Q
[
L
҃
[
Q
Input Ranges
Functions Input Range
sin
x
cos
x
tan
x
(DEG)
x앚쏝9҂
10
9
(RAD)
x앚쏝5҂
10
7
π
rad
(GRA)
x
앚쏝1҂
10
10
grad
However, for tan
x
:
x
90(2
n
ѿ
1):DEG
x
π
2·(2
n
ѿ
1):RAD
x
100(2
n
ѿ
1):GRA
sin
–1
x
cos
–1
x
x앚울
1
tan
–1
xx
앚쏝 1 ҂
10
100
sinh
x
cosh
x
x앚울
230.2585092
tanh
xx
앚쏝 1҂
10
100
sinh
–1
xx
앚쏝 5 ҂
10
99
cosh
–1
x
1
x
5 ҂
10
99
tanh
–1
xx
앚쏝
1
log
x
/lnx1
҂
10
–99
x
1 ҂
10
100
10x–1҂ 10
100
x
100
e
x
–1
҂
10
100
x
230.2585092
[
0
x
1 ҂
10
100
x
2
x앚쏝 1҂
10
50
x
3
x앚쏝
2.154434690 ҂
10
33
1/
xx
앚쏝 1҂
10
100
;
x
0
[
3
x앚쏝 1҂
10
100
x
!0
x
69 (
x
is an integer)
nPr/nCr
0
r
n
n
1҂
10
10
(
n
and
r
are integers)
RP
x
2
ѿ
y
2
1҂
10
100
PR
0
r
1҂
10
100
(DEG)
앚쏝9҂
10
9
(RAD)
앚쏝5҂
10
7
π
rad
(GRA)
앚쏝1҂
10
10
grad
°’ ”
Input and Results: Total of hour, minutes, and seconds digits must be 10 or fewer (including separator symbols) Decimal ↔ Sexagesimal Conversions
x
앚울
2777777.777
x
y
x
0: –1҂10
100
y
log
x
100
x
҃
0:
y
0
x
0:
y҃n
;
1
2
n
ѿ
1
(
n
is an integer)
However: –1҂10
100
y
log
앚x앚쏝
100
x
1/
y
x
0:
y
0
–1҂10
100
1/
y
log
x
100
x
҃
0:
y
0
x
0:
y
҃
2
n
ѿ
1;
1
m
(
m
0;
m
and
n
are integers)
However: –1҂10
100
쏝1/
y
log
x
앚쏝
100
a b/c*
Total of integer, numerator, and denominator must be 10 digits or less(including division marks).
n!
(
nҀr)!
n!
r!(nҀr)!
Root ...................................................... A s
Sine ...................................................... S
Square .................................................. K
Square root ..........................................A L
Tangent ................................................h
Permutatio n .......................................... A m
Combin ation ......................................... A n
* fx-82SOLAR II/fx-260SOLAR II only
• 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 ...................................... A o
k Exponential Display Formats
This calculator can display up to 10 digits. Larger values are automatically displayed using exponential notation. In the case of decimal value, you can select between two formats that determine at what point exponential notation is used.
• 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
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
NORM 1 format
0.005
NORM 2 format
All of the examples in this manual show calculation results using the NORM 1 format.
k When 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.
F 9 (NORM mode)
4. Check the formula you are working with to confirm it is
correct.
5. Enter the correct modes to perform the calculation and
try again.
k Making Corrections During Calculations
If you make a mistake when inputting a value (but did not yet press an operator key), use
Q to backspace and
delete input digits one-by-one. Or you can press
k to
clear the input entirely and start again.
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.
k Overflow or Error Check
The follo wing conditi ons make furthe r calculatio n impossible. a. When a result (whether intermediate or final) or a total
accumulated in memory is greater than ±9.999999999 ҂ 10
99
. ( E” indicator appears on the display.)
b. When function calculations are performed using a value
that exceeds the input range. (E ” indicator appears on the display.)
c. When an illogical operation (such as an attempt to
calculate
o and σn while n ҃ 0) is performed during
statistical calculations. (E” indicator appears on the display.)
d. When an illegal mathematical operation (such as division
by zero) is per formed. (E indicator appears on display.)
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
ѿ(1҂10
99
) to Ҁ(1҂10
99
). Instead, the display shows all
zeros.
k Power Supply
This calculator is powered by a solar cell that converts available light into electrical power.
Solar Cell Precautions
The solar cell requires at least 50 lux of light to provide power.
• If available light is too low, the display may become dim, calculation functions may become impossible, or the contents of the independent memory may be lost. If this happens, move to an area with more light.
k Order of Operations and Levels
Operations are performed in the following order of precedence.
1. Fu nct ion s
2.
x
y
, x
1
/
y
, R P, P R, nPr, nCr
3. ҂, 앦
4. ѿ, Ҁ
• 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 L
1
through L6 store operations. There are six
registers, so calculations up to six levels can be stored.
• Each level can contain up to three open parentheses, so parentheses can be nested up to 18 times.
RJA536287-001V02
Functions Input Range
SD
앚x앚쏝 1҂
10
50
앚n앚쏝 1҂
10
100
n, o : n 0
n –1 : n ≠ 0, 1
* fx-82SOLAR
II/fx-260SOLAR II only
• For a single calculation, calculation error is 앐1 at the 10th
digit. ( In the case of exponential display, calculation error is 앐1 at the last significant digit.) Errors are cumulative in the case of consecutive calculations, which can also cause them to become large. (This is also true of internal consecutive calculations that are performed in the case of
x
y
, x
1
/y
, x!,
3
x , nPr, nCr, etc.)
In the vicinity of a function’s singular point and point of
inflection, errors are cumulative and may become large.
Calculation Capacity:
• Input /Basic Calculations 10-digit mantissa; or 10-digit mantissa plus 2-digit
exponent up to 10
±99
k Specifications
Power Supply: Solar cell Operating Temperature: 0°CҀ40°C (3Ҁ10 4°F) Dimensions: 9 (H )70.5 (W)121.5 (D) mm
3/8" (H)2-3/4" (W)4-3/4" (D)
Weight : 55g (1.9oz)
CASIO COMPUTER CO., LTD.
6-2, Hon-machi 1-chome,
Shibuya-ku, Tokyo 151-8543, Japan
Manufacturer: CASIO COMPUTER CO., LTD. 6-2, Hon-machi 1-chome Shibuya-ku, Tokyo 151-8543, Japan
Responsible within the European Union: Casio Europe GmbH Casio-Platz 1 22848 Norderstedt, Germany www.casio-europe.com
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