Casio Fraction Mate Scientific Calculator fx55Plus User Manual |
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)
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a
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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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