Casio Fraction Mate Scientific Calculator FX 55 User Manual

E
fx-55 PLUS  
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. Moreover, CASIO Computer Co., Ltd. shall not be liable for any claim of  
any kind whatsoever by any other party arising out of the use of this product  
and the items that come with it.  
• Be sure to keep all user documentation handy for future reference.  
S
s  
spts  
ino  
re
Fe  
sa
Por  
an  
al
r
st  
once every three years (LR44 (GPA76)).  
A dead battery can leak, causing damage to and malfunction of the  
calculator. Never leave a dead battery in the calculator. Do not try using  
the calculator while the battery is completely dead.  
• The battery that comes with the calculator discharges slightly during  
shipment and storage. Because of this, it may require replacement  
sooner than the normal expected battery life.  
• Do not use an oxyride battery* or any other type of nickel-based  
primary battery with this product. Incompatibility between such  
batteries and product specifications can result in shorter battery life  
and product malfunction.  
• Avoid use and storage of the calculator in areas subjected to  
temperature extremes, and large amounts of humidity and dust.  
E-2  
• 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.  
Removing the Hard Case  
Before using the calculator, slide its hard  
case downwards to remove it, and then affix  
the hard case to the back of the calculator as  
shown in the illustration nearby.  
P
P
A
Yn  
foor  
b
Dn:  
se  
se
Imy,  
it
P
on  
the alternate function of the second key. The alternate  
function is indicated by the text printed above the key.  
OFF  
A
Keycap function  
E-3  
Reading the Display  
The display of the calculator shows expressions you input, calculation results,  
and various indicators.  
Indicators  
Math  
Input expression  
Calculation result  
• If a g indicator appears on the right side of the input expression, it means  
the displayed calculation continues to the right. Use e and d to scroll  
the input expression display.  
Display indicators  
This  
Means this:  
i
Ime,  
thit  
p
Pm  
yog,  
pr
Underlined (___) settings are initial defaults.  
1MathO 2LineO Specifies the display format.  
MathO displays input and calculation results using  
the same format as they are written on paper.  
Math  
Math  
LineO displays input the same way as MathO, but  
calculation results are displayed in decimal  
form.  
Note: In this manual, the K symbol next to a sample operation indicates  
MathO, while the L symbol indicates LineO.  
E-4  
3Fix 4Norm 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. Calculation results are rounded off  
to the specified digit before being displayed.  
Example: L 100 ÷ 7 = 14.286 (Fix 3)  
14.29 (Fix 2)  
Norm: Selecting one of the two available settings (Norm 1, Norm 2)  
determines the range in which results will be displayed in non-exponential  
format. Outside the specified range, results are displayed using exponential  
format.  
Norm 1: 10–2 Ͼ |x|, |x| м 1010 Norm 2: 10–9 Ͼ |x|, |x| м 1010  
Example: L 1 ÷ 200 = 5 × 10–3 (Norm 1)  
0.005 (Norm 2)  
5n  
(d
7n  
of ys  
diis  
a
En  
aal  
si
E
8t”  
fo
In
Pall  
se
f
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.  
E-5  
4 × (30 + 10 × 3) = 240  
4*(30+10*3)=  
Math  
1
2
*
*
*1 A multiplication symbol (×) can be omitted when it occurs immediately  
before an opening parenthesis, immediately before Rnd or RanInt# function  
that includes parentheses, immediately before the Ran# (random number)  
function, or immediately before independent memory (M) or π.  
*2 The closing parenthesis immediately before the = operation can be  
omitted.  
Input example omitting **1 and )*2 operations in the above  
example.  
Ng  
inill  
aft  
bor  
is g,  
wp  
to l,  
sye  
to s  
or ut  
a
C
Te  
run  
is
1
2
3
4h  
Fractions  
Negative sign (–)  
Note: When squaring a negative value (such as –2), the value  
being squared must be enclosed in parentheses ((-2)w  
2
=). Since x has a higher priority than the negative sign,  
5th  
inputting -2w= 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.  
6th  
7th  
8th  
Multiplication where the multiplication sign is omitted  
Multiplication (×), division (÷), remainder calculations (÷R)  
Addition, subtraction (+, –)  
E-6  
Inputting a Calculation Formula  
Your calculator lets you input calculator formulas using the same format as  
they appear in your textbook (natural format). Fractions and special functions  
2
−1  
(x , x^, ), x , 10^) are also displayed in a natural format.  
63  
Math  
Math  
L
K
!63=  
!63=  
Ima  
cam  
al).  
Fe  
ins  
is ns  
ats  
a
Ne  
eut  
eut  
e
U
A e  
ar
e  
it
!
Math  
As shown above, the value or expression to the right of the cursor after  
1Y(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 ('2, 102, etc.)  
This capability can be used with the following functions: ', A, !, 6.  
E-7  
Correcting and Clearing an Expression  
To delete a single character or function: Move the cursor so it is directly to  
the right of the character or function you want to delete, and then press Y.  
To insert a character or function into a calculation: Use d and e to  
move the cursor to the location where you want to insert the character or  
function and then input it.  
To clear all of the calculation you are inputting: Press A.  
Toggling Calculation Results  
Each press of F will toggle the currently displayed calculation result between  
its fraction form and decimal form, its ' form and decimal form, or its π  
form and decimal form.  
1
π ÷ 6 =  
= 0.5235987756  
π
π
8  
Imay  
wo  
prt  
thn  
for,  
n
Nn  
will  
sof  
th
F
7
6
7
6
1
2
1
1
4-k3e1c2=  
=
4 − 3  
2 2  
To switch a calculation result between improper fraction and mixed  
fraction form: Press j.  
Note: When manual fraction simplification is specified, this operation is  
disabled and fractions are always displayed as improper fractions.  
To switch a calculation result between fraction and decimal form:  
Press F.  
E-8  
Percent Calculations  
Inputting a value and pressing & causes the input value to become a  
percent.  
150 × 20% = 30  
150*20&=  
30  
Calculate what percentage of 880 is 660. (75%)  
660/880&=  
75  
2875  
2625  
Increase 2500 by 15%. (2875)  
2500+2500*15&=  
Discount 3500 by 25%. (2625)  
3500-3500*25&=  
P
Cn  
re0  
dits  
or
%  
3
%  
%  
%  
%  
d  
er  
.  
is  
n  
and then to a percent. Pressing !&('%) again displays the decimal  
fraction value.  
• When the calculation result is a sexagesimal value (degrees, minutes,  
seconds), it is converted to a decimal value and then to a percent.  
• Percent conversion cannot be performed on the result of a remainder  
calculation (÷R).  
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  
E-9  
is the input format for a sexagesimal value: {degrees} $ {minutes} $  
{seconds} $.  
Note: You must always input something for the degrees and minutes, even  
if they are zero.  
2°20´30˝ + 39´30˝ = 3°00´00˝  
2$20$30$+0$39$30$=  
3°0´0˝  
Convert 2°15´18˝ to its decimal equivalent.  
2$15$18$=  
(Converts sexagesimal to decimal.) $  
(Converts decimal to sexagesimal.) $  
2°15´18˝  
2.255  
2°15´18˝  
C
Te  
nts  
u
2
4
6
4
2
N,  
wet  
o
R
Wit  
th
5  
9  
A
Ty.  
Ans memory contents are updated whenever a new calculation result is  
displayed.  
To divide the result of 3 × 4 by 30 L  
3*4=  
Math  
(Continuing) /30=  
E-10  
123 + 456 = 579  
789 – 579 = 210  
123+456=  
Math  
(Continuing) 789-G=  
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  
0S  
0
0  
0  
5  
5  
N
C
Au  
prn  
yo
r
Yer  
in
Quotient Remainder  
Note: • Only the quotient value of a ÷R calculation is stored in Ans memory.  
• Assigning a remainder calculation result to independent memory (M) will  
cause only the quotient value to be assigned. For example, assigning the  
result of the remainder calculation 5÷R2 (5u2S) will result in 2 being  
assigned to M. Adding a remainder calculation result to or subtracting result  
from M will add or subtract only the quotient value. • If a ÷R calculation is part  
of a multi-step calculation, only the quotient is passed on to the next operation.  
(Example: 10+17u6=10 + 2) • Operation of the F, and e keys  
is disabled while a remainder division result is on the display.  
E-11  
Cases when Remainder Division becomes  
Non-remainder Division  
If either of the following conditions exists when you perform a remainder  
division operation, the calculation will be treated as normal (non-remainder)  
division.  
• When either the dividend or the divisor is a very large value  
Example: 20000000000 u17=  
Calculated as: 20000000000 ÷ 17  
• When the quotient is not a positive integer, or if the remainder is not a  
positive integer or positive fractional value  
Example: -5u2= Calculated as: –5 ÷ 2  
Function Calculations  
Fn  
fo
π
or  
in
$
x
2
N,  
x^o  
in
Re  
re
Rs  
a
Rn  
rog  
(N0  
diix  
3 d  
a5  
diix  
3)e  
3.ts  
d0  
÷ 3 × 3 = 10.000). See  
.
6
Simp: This function simplifies a fraction using the least divisor. You also  
can specify the divisor, if you want. An error is displayed if a fraction cannot  
be reduced.  
Note: This function is disabled when “Auto” is selected for the Simp setting  
on the setup menu. See  
.
7
Note: Using functions can slow down a calculation, which may delay display  
of the result. Do not perform any subsequent operation while waiting for the  
calculation result to appear. To interrupt an ongoing calculation before its  
result appears, press A.  
E-12  
Examples  
To calculate 8 × 2π to three decimal places (Fix 3)  
1
s3(Fix)3  
L
K
8*2p=  
8*2p=  
M
50.265  
16π  
50.265  
To calculate 105 × 0.12  
A5e*0.12=  
12000  
2
3
1.2 × 103 = 1200  
32+2 = 81  
52 = 25  
1.2*1063=  
362+2=  
5
1200  
81  
25  
5  
5  
s
3  
'
2
3  
9  
8  
7  
.)  
2
6
1
.)  
s3(Fix)3  
10/3*3=  
10.000  
9.999  
r10/3)*3=  
75  
90  
5
6
7
=
75  
90  
s7(Simp)2(Manual)  
75'90=  
Displayed when a fraction can be simplified.  
25  
30  
l=  
F=3,  
Factor  
E-13  
5
6
5
6
l=  
F=5,  
l=  
When further simplification is not possible, “Simplified” appears momentarily  
on the display and then the calculation result is displayed.  
18  
21  
6
7
When a divisor of 3 is specified:  
=
6
7
6
7
18'21=l3=  
F=3,  
F=3,  
or 18'21el3=  
Td  
cag.  
C
e  
F
–1  
x
|x| Ͻ 1 × 10100 ; x G 0  
|a|, b, c Ͻ 1 × 10100; 0 Ϲ b, c  
°’ ”  
The display seconds value is subject to an error of 1 at  
the second decimal place.  
x Ͼ 0: –1 × 10100 Ͻ ylogx Ͻ 100  
x = 0: y Ͼ 0  
xy  
m
x Ͻ 0: y = n,  
(m, n are integers)  
2 +1  
n
However: –1 × 10100 Ͻ ylog |x| Ͻ 100  
Total of integer, numerator, and denominator must be  
10 digits or less (including division marks).  
ab/  
c
E-14  
10  
10  
| | | |  
RanInt#(a, b) a Ͻ b; a , b Ͻ 1 × 10 ; b a Ͻ 1 × 10  
Simp n  
1 Ϲ n Ϲ 9999 (n is an integer)  
• Precision is basically the same as that described under “Calculation Range  
and Precision”, above.  
• xy type function requires consecutive internal calculation, which can cause  
accumulation of errors that occur with each calculation.  
• Error is cumulative and tends to be large in the vicinity of a function’s singular  
point and inflection point.  
• The range for calculation results that can be displayed in π form is |x| Ͻ  
106. Note, however, that internal calculation error can make it impossible  
to display some calculation results in π form. It also can cause calculation  
results that should be in decimal form to appear in π form.  
Tor  
ae  
dig  
A
D
We  
cae  
the  
ca
Clearing the Error Message  
While an error message is displayed, press A to return to the calculation  
screen. Note that this also clears the calculation that contained the error.  
E-15  
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.  
• When using independent memory as the argument of a function, make sure  
that the memory value is within the allowable range for the function.  
Stack ERROR  
Cause: The calculation you are performing has caused the capacity of the  
numeric stack or the command stack to be exceeded.  
Ae  
ca.  
S
Ce  
p
A
A
Cn  
(R
As  
fo
C
Ce  
si
A
Pn  
or ot  
co
Ne  
p
1.Check the calculation expression to make sure that it does not contain any  
errors.  
2.If the above steps do not correct your problem, press the O key. This will  
cause the calculator to perform a routine that checks whether calculation  
functions are operating correctly. If the calculator discovers any abnormality,  
it automatically clears memory contents. For details about initialized  
settings, see “Configuring the Calculator Setup”.  
3.Initialize all settings by performing the following operation: r1(Setup)  
=(Yes).  
E-16  
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 1A(OFF) to turn off the calculator.  
• To ensure that you do not accidentally turn on power while replacing the  
battery, slide the hard case onto the front of the calculator.  
Screw  
2.Remove the cover as shown in the illustration and  
replace the battery, taking care that its plus (+) and  
minus (–) ends are facing correctly.  
3.Replace the cover.  
4.
P
A
O
D
A
k How can I perform display results the same way I did on a model that  
does not have Natural Textbook Display?  
Perform the following key operation: s2(LineO). See “Configuring  
the Calculator Setup” on page E-4 for more information.  
k How can I change a fraction form result to decimal form?  
How can I change a fraction form result produced by a division  
operation to decimal form?  
See “Toggling Calculation Results” on page E-8 for the procedure.  
k What is the difference between Ans memory and independent  
memory?  
Both types of memory acts like “containers” for temporary storage of a  
single value.  
E-17  
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.  
k How can I return the calculator to its initial default settings?  
Perform the following operation: r1(Setup)=(Yes)  
k Is there anything I need to remember to display a fraction calculation  
result as a mixed fraction?  
On the setup menu, select “Auto” for the “Simp” setting. This will enable  
the “ab/c” setting on the setup menu. You can toggle display of a fraction  
between improper fraction and mixed fraction by pressing j.  
When “Manual” is selected for the “Simp” setting, fractions are always  
displayed as improper fractions.  
E-18  
CASIO COMPUTER CO., LTD.  
6-2, Hon-machi 1-chome  
Shibuya-ku, Tokyo 151-8543, Japan  
SA1112-A  
© 2012 CASIO COMPUTER CO., LTD.  

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