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ESPAÑOL
ENGLISH
(reverso)
DISPLAY
FRACTION/SCIENTIFIC CALCULATOR
EL-500W
MODEL
OPERATION MANUAL
(All symbols will not be displayed simultaneously, as shown
above.)
PRINTED IN CHINA / IMPRESO EN CHINA
: Appears when the entire equation cannot be
/
05BGK (TINSE0529THZZ)
displayed. Press </> to see the remaining
(hidden) section.
: Appears when @ is pressed, indicating that the
2ndF
INTRODUCTION
functions shown in orange are enabled.
SIMP
: Indicates that a fraction can be simplified further, or
Thank you for purchasing the SHARP Fraction/Scientific
expressed with a lower denominator.
Calculator Model EL-500W. This calculator will help you
DEG/RAD/GRAD: Indicates angular units (Degrees, Radians
understand mathematical concepts behind fraction calcula-
and Grads) and changes each time G is pressed.
tion, such as simplification and reduction.
'
: Appears when statistical mode is selected.
After reading this manual, store it in a convenient location
M
: Indicates that a numerical value is stored in the
for future reference.
independent memory.
Operational Notes
• Do not carry the calculator around in your back pocket, as
BEFORE USING THE CALCULATOR
it may break when you sit down. The display is made of
glass and is particularly fragile.
Key Notation Used in this Manual
• Keep the calculator away from extreme heat such as on a
In this manual, key operations are described as follows:
car dashboard or near a heater, and avoid exposing it to
excessively humid or dusty environments.
• Since this product is not waterproof, do not use it or store
it where fluids, for example water, can splash onto it.
To access functions printed in orange above keys, press @
Raindrops, water spray, juice, coffee, steam, perspiration,
first.
etc. will also cause malfunction.
In this manual, number entry examples are shown with ordinary
• Clean with a soft, dry cloth. Do not use solvents or wet
numbers (i.e., "100" will be indicated instead of "10
cloth.
0").
• Do not drop it or apply excessive force.
Power On and Off
• Never dispose of batteries in a fire.
Press N to turn the calculator on, and @F to turn it off.
• Keep batteries out of the reach of children.
• This product, including accessories, may change due to
Clearing Methods
upgrading without prior notice.
There are three clearing methods as follows:
SHARP will not be liable nor responsible for any inciden-
Clearing
tal or consequential economic or property damage caused
operation
by misuse and/or malfunctions of this product and its
N
peripherals, unless such liability is acknowledged by law.
@c
♦ Press the RESET switch (on the back) only in the follow-
RESET
ing cases. Note that pressing the RESET switch erases
: Clear
all data stored in memory.
1
*
Independent memory M.
• Before using for the first time
*
2
Statistical data and last answer memory.
• After replacing the batteries
• To clear the independent memory (M), press NO.
• To clear all memory contents
• If an abnormal condition occurs and all keys are inop-
Editing the Equation
erative.
• Press < or > to move the cursor.
If service should be required for the calculator, use only a
To return to the equation after getting an answer, press
SHARP servicing dealer, SHARP approved service facility,
< (>).
or SHARP repair service where available.
• To delete a number, place the cursor on the number to be
deleted, then press d.
Hard Case
• To insert a number, move the cursor to the place immedi-
ately after where the number is to be inserted, then enter
the number.
15 + 8
↓
15 –
3
13 × 24 =
↓
15 ×
24 =
* If = is pressed instead of a number entry, the least
1
1
N 1 Ø 2 + 1 Ø 3 =
5/6
– + – =
common denominator will automatically be displayed.
2
3
2
1
– × – =
2 Ø 5 * 1 Ø 3 =
Conversion from/to a Fraction
2/15
5
3
º : Converts a decimal or improper fraction to a
How to Simplify a Fraction
æ : Converts a mixed fraction or decimal to an im-
Reducing to its simplest form
If the result of pressing = is displayed with the "SIMP"
symbol, the calculation can be reduced further. Use the
ø : Converts an improper fraction or a mixed frac-
ª key to set the factor of the fraction to simplify, either
automatically or manually.
5
4– =
[Automatic Simplification]
6
→ [A.xxx]
1
2
SIMP
– + — = N 1 Ø 3 + 2 Ø 12 =
6/12
→ [A/B]
3
12
SIMP
ªFACTOR?
6/12
SIMP
=*
6_
6/12
1 ÷ 3 =
→ [A/B]
=
1/2
* If you do not know a common factor, press =. The
6 ÷ 5 =
→ [A/B]
greatest common factor "6" will be displayed.
→ [A
B
/
]
[Manual Simplification]
C
→ [A.xxx]
1
2
SIMP
– + — = N 1 Ø 3 + 2 Ø 12 =
6/12
2
3
12
1.25 + – =
SIMP
ªFACTOR?
6/12
5
→ [A
/
]
2 =*
SIMP
B
23/6
C
ª 3 =
1/2
* "2" is entered as a factor, and the "SIMP" will be displayed
to indicate further simplification of the fraction.
STATISTICAL CALCULATIONS
If the entered value is not a common factor, the cursor will
be set under the value. Press d to clear the value,
To enter the statistical mode, press @". The indicator
then enter a correct common factor. Press N to return
symbol ' will light up. The following statistics can be
to the "FACTOR?" display.
obtained:
x – : Mean of samples
Now that you have learned how to reduce a fraction to
sx : Standard deviation of samples
its simplest form, you can start using your calculator to
σ x : Population standard deviation of samples
perform fraction calculations quickly and efficiently.
n : Number of samples
Σ x : Sum of samples
5
1
SIMP
– + — = N 5 Ø 6 + 1 Ø 14 =
38/42
6
14
Σ x
2
: Sum of the squares of samples
=*
19/21
Entering Data
* If = is pressed instead of ª, the number will
To enter sample data, use the numeric keys and press
automatically be reduced down to its simplest form with
k(O key) after each value.
the greatest common factor.
To enter data with its frequency, use the numeric keys to
Reducing to the lowest denominator
enter the value, then press §(R key), enter the fre-
Prior to pressing the = key, a common denominator can
quency, then press k.
be set to organize calculations.
Enter the data "7" N@"
1
1
N 1 Ø 3 + 1 Ø 4
1/3+1/4_
– + – =
3
4
SIMP
ªDENOM.?
28/48
48 =*
16/48+12/48_
There are 13 students @c 70 § 13
SIMP
=
28/48
who scored 70 in the k
* Enter a common denominator of the two fractions.
test, and 5 students
If the entered value is not a common denominator, the
who scored 50.
cursor will be set under the value. Press d to clear
the value, then enter a correct common denominator.
* The number of samples for the entered data will be dis-
Press N to return to the "DENOM.?" display.
played.
• Entered data are kept in memory until @c or
Now that you have learned how to reduce a fraction to
@" are pressed. Before entering new data, clear
its lowest denominator, you can start using your calcu-
the memory contents.
lator to perform fraction calculations quickly and effi-
• If the number of the sample values exceeds 999,999,999
ciently.
"n=" will not appear.
• When inputting a formula as a sample value with frequency,
1
1
– + – =
N 1 Ø 3 + 1 Ø 4
1/3+1/4_
3
4
parenthesize the data.
SIMP
ªDENOM.?
28/48
Example: ( A * B )§ frequency k
SIMP
=*
12_
28/
=
48
4/12+3/12_
=
7/12
Priority Levels in Calculation
This calculator performs operations according to the following
priority:
Symbol
Q Functions expressed with numerical data placed before
(such as x
-1
, x
2
, n!)
W y
x
,
x
¿
y
E π
R Functions expressed with numerical data placed after (such
Mantissa
Exponent
as (–), sin, cos)
T Multiplications with the sign "×" omitted from the front of a
function (such as 3cos20)
Y nCr, nPr
U ×, ÷
I +, –
O Operations end commands (such as =, M+, %, DRG ,
DATA, CD)
•
A parenthesized calculation section has precedence over
other sections of the calculation.
INITIAL SETUP
Mode Selection
Normal Mode:
Used to perform arithmetic operations and function calcula-
tions.
Statistical Mode:
Used to perform statistical operations. To enter statistical
mode, press @". ' appears on the display to
π
indicate that the statistical mode is selected. To return to
To specify
: @V
normal mode, press @" with ' on the display.
To specify Exp : E
' disappears as the calculator returns to normal mode.
• The mode will remain selected when the calculator is turned
off.
• When executing mode selection, last answer memory will
be cleared.
Scientific Notation
People who need to deal with very large and very small num-
bers often use a special format called exponential or scientific
notation.
A number expressed in scientific notation has two parts. The
first part consists of a regular decimal number between 1 and
1
2
Entry
M*
STAT, ANS*
10. The second part represents how large or small the num-
(Display)
ber is in powers of 10.
×
×
While a calculation result is displayed in the floating point
×
system, press @´ to display the result in the scientific
notation system. Pressing @´ once again will bring
× : Retain
back the floating point system.
To enter a number in scientific notation, press E.
(1.2 × 10
) × (1.5 × 10
1.2 E 20 * 1.5 E 5 = 1.8 × 10
20
5
)
3 ÷ 7 =
[Floating point]
N 3 / 7 =
→ [Scientific notation] @´
@i 2
[TAB set to 2]
→ [Floating point]
@´
• Use @´ to switch to the scientific notation, press
@i, then give a value between 0 and 9 to set the
decimal placement. To reset, press @i 9.
• The number will be displayed in scientific notation if the
N 15 + 8
15+8_
floating point value does not fit in the following range:
0.000000001 ≤ | x | ≤ 9999999999
<<dd
15_
• The last decimal digit in scientific notation will be rounded
- 3
15–3_
off.
N 13 * 24 =
312.
13 × 24
<(>)
>d 5 =
360.
Correcting Entered Data
Correction prior to pressing k:
Delete incorrect data with N.
Correction after pressing k:
Press > to confirm the latest entry and press @J
mixed fraction.
to delete it.
proper fraction. In some cases, a decimal may
Calculating Statistical Quantities
not be converted to a fraction.
Score Number of
Persons
tion to a decimal.
30
5
4 ¬ ¬ ¬ ¬ ¬ 5/6
N 4 ∞ 5 Ø 6 =
40
3
50
10
ø
4.833333333
æ
60
12
29/6
70
13
1 / 3 =
0.333333333
80
9
æ
1/3
90
7
6 / 5 =
1.2
100
3
SIMP
æ
12/10
º
SIMP
1 ¬ ¬ ¬ ¬ ¬ 2/10
ø
1.2
1.25 + 2 Ø 5 =
1.65
º
SIMP
1 ¬ ¬ ¬ ¬ ¬ 65/100
• If both the resulting digits and the function name (such as
ª==
1 ¬ ¬ ¬ ¬ ¬ 13/20
Σ x=) cannot be contained in the display, only the resulting
value will be displayed; the function name will not be dis-
played.
Statistical Calculation Formulas
x = Σx n
Σx
2
– nx
2
sx =
n – 1
In the statistical calculation formulas, an error will occur:
• the absolute value of the intermediate result or calculation
result is equal to or greater than 1 × 10
• the denominator is zero.
• an attempt is made to take the square root of a negative
number.
ERROR AND CALCULATION RANGES
'
Errors
@c 7
7_
An error will occur if an operation exceeds the calculation
k
n =
1.
*
ranges, or if a mathematically illegal operation is attempted. If
70, 13_
an error occurs, pressing < (or >) automatically moves
n =
13.
the cursor back to the place in the equation where the error
occurred. Edit the equation or press N to clear the equa-
50 § 5
50, 5_
tion.
k
n =
18.
Error Codes and Error Types
Syntax error (Error 1):
• An attempt was made to perform an invalid operation.
Ex. 2 +- 5 =
Calculation error (Error 2):
• The absolute value of an intermediate or final calculation
result equals or exceeds 10
• An attempt was made to divide by 0.
• The calculation ranges were exceeded while performing
calculations.
Determination of the Angular Unit
In this calculator, the following three angular units (degrees,
radians, and grads) can be specified.
DEG (°)
Press G
GRAD (g)
SCIENTIFIC CALCULATIONS
• Select the normal mode.
• In each example, press N to clear the display before
performing the calculation.
Arithmetic Operations
12+16×3=
N 12 + 16 * 3 =
350–120÷4=
350 - 120 / 4 =
72×(-12)–150=
72 *– 12 - 150 =
(5+21)×(30–16)= ( 5 + 21 )*
( 30 - 16 )=
3
-4
)= ( 6 E 3 )/
(6×10
)÷(2×10
( 2 E– 4 )=
Constant Calculations
In constant calculations, the addend becomes a constant.
Subtraction and division are performed in the same manner.
For multiplication, the multiplicand becomes a constant.
245+60=
N 245 + 60 =
N
+ 60
12+60=
212
150 - 20 =
150–20=
- 20
=
250–20=
250
200÷4=
200 / 4 =
180÷4=
180
/ 4
=
15×3=
15 * 3 =
15×10=
15-
10 =
Functions
• For each example, press N to clear the display.
• Before starting calculations, specify the angular unit.
• The results of inverse trigonometric functions are displayed
within the following range:
25
θ = sin
x , θ = tan
–1
0.428571428
–90 ≤ θ ≤ 90
DEG
4.285714286 × 10
–01
π
π
– — ≤ θ ≤ —
RAD
4.29 × 10
–01
2
2
–100 ≤ θ ≤ 100
0.428571428
GRAD
sin60[°]=
Ns 60 =
Gu(@V/ 4
π
cos–[rad]=
4
)=
G@T 1 =
–1
tan
1=[g]
G
ln 20 =
@I 20 =
log 50 =
@l 50 =
3
@e 3 =
e
=
Depth error (Error 3):
• The available number of buffers was exceeded. (There are
8 buffers* for numeric values and 16 buffers for calculation
instructions).
Equation too long (Error 4):
• The equation exceeded its maximum input buffer (159 char-
acters). An equation must be shorter than 159 characters.
Calculation Ranges
@c
'
• Within the ranges specified below, this calculator is
30 § 5 k
n =
5.
accurate to ±1 of the least significant digit of the man-
40 § 3 k
n =
8.
tissa. However, a calculation error increases in con-
50 § 10 k
n =
18.
tinuous calculations due to accumulation of each cal-
60 § 12 k
n =
30.
culation error. (This is the same for y
70 § 13 k
n =
43.
continuous calculations are performed internally.)
80 § 9 k
n =
52.
Additionally, a calculation error will accumulate and
90 § 7 k
n =
59.
become larger in the vicinity of inflection points and
100 § 3 k
n =
62.
singular points of functions.
–99
• Calculation range: ±10
~ ±9.999999999×10
@÷
65.32258065
If the absolute value of an entry or a final or intermediate
@£
18.52935128
result of a calculation is less than 10
@p
18.37931358
ered to be 0 in calculations and in the display.
@n
n =
62.
Σ x =
Function
Dynamic Range
@z
4050.
Σ x
2
@w
=
285500.
sin x
DEG : |x| < 10
10
(tan x : |x| ≠ 90(2n–1))*
cos x
π
tan x
RAD : |x| < —– × 10
10
180
π
(tan x : |x| ≠ – × (2n–1))*
2
10
GRAD : |x| < — × 10
10
9
(tan x : |x| ≠ 100(2n–1))*
Σx
2
– nx
2
σx =
sin
–1
x
|x| ≤ 1
n
cos
–1
x
Σx = x
+ x
+ ··· + x
1
2
n
tan
–1
x
|x| < 10
100
Σx
2
= x
2
+ x
2
+ ··· + x
2
1
2
n
In x
(n: number of samples)
≤ x < 10
10
–99
100
log x
. y > 0: –10
100
< xlogy < 100
x
y
. y = 0: 0 < x < 10
100
100
.
. y < 0: x = n (0 < |x| < 1: – = 2n–1, x ≠ 0)*,
–10
100
< xlog |y| < 100
1
. y > 0: –10
< – logy < 100 (x ≠ 0)
100
x
. y = 0: 0 < x < 10
100
x
¿y
. y < 0: x = 2n–1 (0 < |x| < 1: – = n, x ≠ 0)*,
1
100
–10
< – log |y| < 100
x
x
< x ≤ 230.2585092
–10
100
e
x
10
–10
100
< x < 100
x
2
|x| < 10
50
¿x
0 ≤ x < 10
100
(x ≠ 0)
–1
100
x
|x| < 10
0 ≤ n ≤ 69*
n!
nPr
0 ≤ r ≤ n ≤ 69*
nCr
DEG→RAD, GRAD→DEG : |x| < 10
π
DRG
RAD→GRAD : |x| < – × 10
2
100
.
1.7
@¡ 1.7 =
10
=
2
2
3
+ 5
=
3 @L + 5 @L=
@⁄ 32 + 3 @$
√32 +
3
√21 =
21 =
(rad)
4
7 @™ 4 =
RAD
7
=
4! =
4 @!=
10 @q 3 =
P
=
10
3
C
=
5 @Q 2 =
5
2
π
– =
@V/ 3 =
3
1
1
– + – =
4 @• + 5 @•=
4
5
200 × 32% =
200 * 32 @%
60.
150 ÷ 300 = ?% 150 / 300 @%
320.
200 + (200 × 32%) = 200 + 32 @%
–1014.
300 – (300 × 25%) = 300 - 25 @%
364.
Random Numbers
A pseudo-random number with three significant digits can be
generated by pressing @`=. To generate the next
30000000.
random number, press =.
Angular Unit Conversions
Each time @g are pressed, the angular unit changes
in sequence.
90°→ [rad]
N 90 @g
→ [g]
@g
305.
→ [°]
@g
=
72.
–1
sin
0.8 = [°]
@S 0.8 =
130.
→ [rad]
@g
230.
→ [g]
@g
50.
→ [°]
@g
45.
Memory Calculations
45.
This calculator has two memory allocations: independent
150.
memory (M), and last answer memory (ANS). You will find
them especially useful when combinations of calculations be-
come complicated, or when using the answer of previous
calculation to another operations.
Press NO to clear the independent memory ("M" sym-
bol will disappear).
Independent memory (M)
θ = cos
–1
x
–1
x
O : Stores the result in the memory.
0 ≤ θ ≤ 180
R : Recalls the value stored in the memory.
0 ≤ θ ≤ π
@; : Adds the result to the value in the memory.
0 ≤ θ ≤ 200
N 3 * 5 O
30 + (3 × 5) =
30 +R=
0.866025403
(3 × 5) × 4 =
R* 4 =
N 20 + 10 - 5 O
20+10–5=
0.707106781
121+13×2=
121 + 13 * 2 @;
+) 21×3–16=
21 * 3 - 16 @;
50.
(Total)
R
NO
2.995732274
1.698970004
20.08553692
BATTERY REPLACEMENT
Notes on Battery Replacement
* 4 buffers in STAT mode.
Improper handling of batteries can cause electrolyte leakage
or explosion. Be sure to observe the following handling rules:
• Replace both batteries at the same time.
• Do not mix new and old batteries.
• Make sure the new batteries are the correct type.
• When installing, orient each battery correctly as indicated in
the calculator.
• The factory-installed batteries may be exhausted before
they reach the service life stated in the specifications.
x
,
x
¿ ¿ ¿ ¿ ¿ , etc. where
When to Replace the Batteries
If the display has poor contrast or nothing appears on the
display even when N is pressed, it is time to replace the
batteries.
99
and 0.
Caution
• Fluid from a leaking battery accidentally entering an eye
–99
, the value is consid-
could result in serious injury. Should this occur, wash with
clean water and immediately consult a doctor.
• Should fluid from a leaking battery come into contact with
your skin or clothes, immediately wash with clean water.
• If the product is not to be used for some time, to avoid
damage to the unit from leaking batteries, remove them and
store in a safe place.
• Do not leave exhausted batteries inside the product.
• Do not fit partially used batteries, and be sure not to mix
batteries of different types.
• Keep batteries out of the reach of children.
• Exhausted batteries left in the calculator may leak and
damage the calculator.
• Explosion risk may be caused by incorrect handling.
• Do not throw batteries into a fire as they may explode.
Replacement Procedure
1. Turn the power off by pressing @F.
2. Loosen both screws and remove the bat-
tery cover.
1
x
3. Replace the old batteries with new, with
the positive (+) sides facing up.
1
4. Replace the battery cover and screws.
x
5. Press the RESET switch on the back.
• Make sure that the display appears
as shown. Otherwise, remove the
batteries, reinstall, and check the dis-
play again.
Automatic Power Off Function
This calculator will turn its power off automatically if no key is
pressed for about 10 minutes.
100
98
* n, r: positive integers
Last answer memory (ANS)
50.11872336
When = is pressed, the calculation result will automati-
34.
cally be stored in the last answer memory.
@? : Recalls the value stored in last answer
memory.
8.415778426
N 6 + 4 =
6+4 = ANS
10.
2401.
+ 5 =
15.
ANS + 5
24.
8 × 2 = ANS
8 * 2 =
16.
720.
2
ANS
@L=
256.
10.
4 ÷ 5 = 0.8...(A) N 4 / 5 =
0.8
4 × (A) + 60 ÷ (A) = 4 *@?+ 60 /
1.047197551
@?=
78.2
0.45
Calculating the Greatest Common Factor (G.C.F.)
or Least Common Multiple (L.C.M.)
64.
To calculate the G.C.F. or the L.C.M., the procedures are as
50.
follows:
264.
What is the G.C.F. N 24
24_
@œ 36
of 24 and 36?
24GCF36_
225.
=
12.
What is the L.C.M. N 15
15_
of 15 and 9?
@ˆ 9
15LCM9_
=
45.
Calculating Quotient and Remainder
": Calculates the quotient and remainder.
N 23 @" 5
23 ' 5_
23 ÷ 5
1.570796327
(R: Remainder) =
4.
3.
R
100.
9.5 ÷ 4
9.5 @" 4
9.5 ' 4_
90.
=
2.
1.5
R
53.13010235
–32 ÷ (–5)
– 32 @"– 5
–32 ' –5_
0.927295218
=
6.
–2.
R
59.03344706
• Pressing " cannot be followed by pressing a key for
53.13010235
another operation such as (+, –, ×, ÷), otherwise an error
will result.
• The calculator can display a quotient or remainder up to 5
digits in length, including the "–" sign. If numbers longer
than 5 digits are entered, normal division is performed.
FRACTION CALCULATIONS
Entering Fractions
• To enter fractions, use the following keys:
Ø : Places the symbol "/" between the numerator
and the denominator.
∞ : Separates the integer (whole number) part
from the fractional part of a mixed number.
2
N 2 Ø 3 =
2/3
M
4– =
15.
3
M
45.
1
4 ∞ 1 Ø 2 =
4 ¬ ¬ ¬ ¬ ¬ 1/2
4– =
2
M
60.
• Up to 10 key strokes, including "¬" and "/", can be used
M
25.
to enter a fraction.
147.
M
M
47.
Calculating with Fractions
M
219.
Fractions can be incorporated into an arithmetic calculation.
"SIMP" symbol will appear with a calculation result if the
answer can be further simplified. Refer to the following sec-
tion of this manual for details.
SPECIFICATIONS
Calculations:
General arithmetic operations (add,
subtract, multiply, divide, operations
with constants, memory operations,
fraction operations, function
operations, statistical operations,
etc.)
Internal calculations:
Mantissas of up to 12 digits
Pending operations:
16 calculations 8 numeric values
(4 numeric values in STAT mode)
Power source:
3V ¶ (DC):
Alkaline batteries
(LR44 or equivalent) × 2
Power consumption:
0.0006 W
Operating time:
Approx. 2000 hours, when
continuously displaying 55555. at
25°C. (77°F)
May vary according to usage and
other factors.
Operating temperature: 0°C – 40°C (32°F – 104°F)
78.6 mm (W) × 144 mm (D)
External dimensions:
× 11.6 mm (H)
3-3/32" (W) × 5-21/32" (D)
× 15/32" (H)
Weight:
Approx. 75 g (0.17 lb)
(Including batteries)
Batteries × 2 (installed), operation
Accessories:
manual, quick reference card and
hard case.
FOR MORE INFORMATION
Visit us on the Internet at:
http://www.sharpusa.com
http://www.sharpplace.com
SHARP ELECTRONICS CORPORATION
Sharp Plaza, Mahwah, New Jersey 07430-1163
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