SHARP EL-530V User Manual

DISPLAY
Symbol
Mantissa
Exponent
EL-530V
SCIENTIFIC CALCULATOR
MODEL
ENGLISH
PRINTED IN CHINA
04AGK (TINSE0506THZZ)
BEFORE USING THE CALCULATOR
Key Notation Used in this Manual
In this manual, key operations are described as follows:
To specify π : @V To specify Exp: E
To access functions printed in orange above keys, press @ first. In this manual, number entry examples are shown with ordi­nary numbers (i.e., “100” will be indicated instead of “100”).
Power On and Off
Press N to turn the calculator on, and @F to turn it off.
Clearing the Entry and Memories
There are three clearing methods as follows:
Clearing Entry M*1STAT, ANS*
2
operation (Display)
N ×× @c ×
RESET
: Clear × : Retain
*
1
Independent memory M.
*
2
Statistical data and last answer memory.
• To clear the independent memory (M), press NO.
Entry and Correction of an Equation
• Press < or > to move the cursor.
To return to an equation after getting the answer, press < (>).
• To delete a number, place the cursor on the number to be
deleted, then press d.
• To insert a number, move the cursor to the place immedi­ately after where the number is to be inserted, then enter the number.
INTRODUCTION
Thank you for purchasing the SHARP Scientific Calculator Model EL-530V. This calculator will help you understand math­ematical concepts behind fraction calculation, such as simpli­fication and reduction. After reading this manual, store it in a convenient location for future reference.
Operational Notes
• Do not carry the calculator around in your back pocket, as it may break when you sit down. The display is made of glass and is particularly fragile.
• Keep the calculator away from extreme heat such as on a 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. Rain­drops, water spray, juice, coffee, steam, perspiration, etc. will also cause malfunction.
• Clean with a soft, dry cloth. Do not use solvents or wet cloth.
• Do not drop it or apply excessive force.
• Never dispose of batteries in a fire.
• Keep batteries out of the reach of children.
• This product, including accessories, may change due to upgrading without prior notice.
SHARP will not be liable nor responsible for any incidental or consequential economic or property damage caused by misuse and/or malfunctions of this product and its periph­erals, unless such liability is acknowledged by law.
Press the RESET switch (on the back), with the tip of a ball-
point pen or similar object, only in the following cases.
Do not use an object with a breakable or sharp tip. Note that pressing the RESET switch erases all data stored in memory.
• When using for the first time
• After replacing the batteries
• To clear all memory contents
• If an abnormal condition occurs and all keys are
inoperative. If service should be required on this calculator, use only a SHARP servicing dealer, SHARP approved service facility, or SHARP repair service where available.
Hard Case
• All symbols will not be displayed simultaneously, as shown above.
• Certain inactive symbols may appear visible when viewed from a far off angle.
/
: Appears when the entire equation cannot be dis-
played. Press </> to see the remaining (hid­den) section.
2ndF : Appears when @ is pressed, indicating that the
functions shown in orange are enabled.
SIMP : Indicates that a fraction can be simplified further, or
expressed with a lower denominator.
: Appears when statistical mode is selected. M:Indicates that a numerical value is stored in the
independent memory.
sin30° = Ns 30 =
0.5
cos60° = u 60 =
0.5
tan45° = t 45 =
1.
sin–10.5 = @S 0.5 =
30.
cos–10.5 = @U 0.5 =
60.
tan–11 = @T 1 =
45.
32 + 52 =3 @L + 5 @L=
34.
83 =8 @¤=
512.
32 +
3
21 = 32 + 3 @$ 21 =
8.415778426
74 =7 @™ 4 =
2401.
– = @V/ 3 =
1.047197551
π
3
15 + 8 N 15 + 8
15+8_
15 – 3
<<dd
15_
- 3
15–3_
13 × 24 = N 13 * 24 =
312.
<(>)
13×24
15 × 24 = >d 5 =
360.
SCIENTIFIC CALCULATIONS
• Select the normal mode.
• In each example, press N to clear the display before
performing the calculation.
1 ÷ 3 = [Floating point] N 1 / 3 =
0.333333333
[Fixed decimal point] @fl
0.333333333
[TAB set to 2] @i 2
0.33
[Floating point] @fl
0.333333333
INITIAL SETUP
Mode Selection
Normal Mode: Used to perform arithmetic operations and function calcula­tions.
Statistical Mode: Used to perform statistical operations. To enter statistical mode, press @”. appears on the display to indicate that the statistical mode is selected. To return to normal mode, press @” with on the display. 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.
Selecting the Display Notation and Decimal Places
This calculator has two display notation systems for displaying calculation results: floating point system and fixed decimal point system.
When the fixed decimal point system is selected, the number of decimal places can be set to any value between 0 and 9. The last decimal digit will be rounded off.
• Use @fl to switch to the fixed decimal point system, press @i, then enter a value between 0 and 9 to set the decimal placement.
• The number will be displayed in scientific notation if the calculation results for floating point system does not fit in the following range:
0.000000001 | x | 9999999999
θ = sin-1x, θ = tan-1x θ = cos-1x
–90° θ 90° θ 180°
Arithmetic Operations
12+16×3= N 12 + 16 * 3 =
60.
350–120÷4= 350 - 120 / 4 =
320.
72×(-12)–150= 72 *– 12 - 150 =
–1014.
(5+21)×(30–16)= ( 5 + 21 )*
( 30 - 16 )=
364.
(6×103)÷(2×10-4)=
( 6 E 3 )/ ( 2 E– 4 )=
30000000.
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.
• After performing calculations using constants, on pressing <(>) to edit an equation, the constants will be displayed as K.
245+60= N 245 + 60 =
305.
12+60= N 212 + 60 =
72.
150–20= 150 - 20 =
130.
250–20= 250 - 20 =
230.
200÷4= 200 / 4 =
50.
180÷4= 180 / 4 =
45.
15×3= 15 * 03 =
45.
15×10= 15 - 10 =
150.
Functions
• For each example, press N to clear the display.
• The results of inverse trigonometric functions are displayed within the following ranges:
Priority Levels in Calculation
This calculator performs operations according to the following priority: 1 Functions expressed with numerical data placed before
(such as x
2
, x3)
2 y
x, x
¿
y
3 π 4 Functions expressed with numerical data placed after (such
as sin, cos)
5 Multiplications with the sign “×” omitted from the front of a
function (such as 3cos20)
6 ×, ÷ 7 +, – 8 Operations end commands (such as =, M+, %, DATA, CD)
•A parenthesized calculation section has precedence over other sections of the calculation.
– + – = 4 + 5 @¨=
0.45
200 × 32% = 200 * 32 @%
64.
150 ÷ 300 = ? % 150 / 300 @%
50.
200 + (200 × 32%) =
200 + 32 @%
264.
300 – (300 × 25%) =
300 - 25 @%
225.
141
5
Chain Calculations
• This calculator allows the previous calculation result to be used in the following calculation.
• The previous calculation result will not be recalled after entering multiple instructions.
• In the case of utilizing postfix functions (¿ , sin, etc.), you can perform a chain calculation even when the previous calculation result is cleared by the use of the N or @ c keys.
Calculating the Highest Common Factor (H.C.F.) or Lowest Common Multiple (L.C.M.)
To calculate the H.C.F. or the L.C.M., the procedures are as follows:
What is the H.C.F.
N 24
24_
of 24 and 36?
@‹ 36
24HCF36_
=
12.
What is the L.C.M.
N 15
15_
of 15 and 9?
9
15LCM9_
=
45.
• “Highest Common Factor” is synonymous with “Greatest Common Factor”, “Lowest Common Multiple” is with “Least Common Multiple”.
Calculating quotient and remainder
: Calculates the quotient and remainder.
• Pressing cannot be followed by pressing a key for 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.
23 ÷ 5 N 23 @“ 5
23‘5_
(R: Remainder) =
4.
R
3.
9.5 ÷ 4 9.5 @“ 4
9.5‘4_
=
2.
R
1.5
–32 ÷ (–5) – 32 @“– 5
–32‘–5_
=
6.
R
–2.
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.
Memory Calculations
This calculator has two memory allocations: independent memory (M), and last answer memory (ANS). You will find them especially useful when combinations of calculations be­come complicated, or when applying the answer of previous calculation to another operations.
• Press NO to clear the independent memory (“M”
symbol will disappear).
• After pressing R to recall a value stored in the memory,
the value as displayed will be used in the calculation.
Independent memory (M)
O : Stores the result in the memory. R : Recalls the value stored in the memory.
@; : Adds the result to the value in the memory.
Last answer memory (ANS)
When = is pressed, the calculation result will automati­cally be stored in the last answer memory.
@? : Recalls the value stored in the last answer
memory.
4 ÷ 5 = 0.8…(A) N 4 / 5 =
0.8
4 × (A) + 60 ÷ (A) =
4 *@?+ 60 /
@?=
78.2
6+4 = ANS N 6 + 4 =
10.
ANS + 5 + 5 =
15.
8 × 2 = ANS 8 * 2 =
16.
ANS
2
@L=
256.
44+37 = ANS 44 + 37 =
81.
ANS = ⁄=
9.
N 3 * 5 O
15.
M
30 + (3 × 5) = 30 +R=
45.
M
(3 × 5) × 4 = R* 4 =
60.
M
20+10–5= N 20 + 10 - 5 O
25.
M
121+13×2= 121 + 13 * 2 @;
147.
M
+) 21×3–16= 21 * 3 - 16 @;
47.
M
(Total) R
219.
M
NO
0.
M
Random Function
This calculator has three random functions. Press N to exit.
Random Numbers
A pseudo-random number, with three significant digits from 0 up to 0.999, can be generated by pressing @`=. To generate the next random number, press =.
Random Integer
Integer number between 0 and 99 can be generated randomly by pressing @›=. To generate the next integer random number between 0 and 99, press =.
Random Dice
To simulate rolling dice, integer number between 1 and 6 can be generated randomly by pressing @fi=. To generate the next integer random number between 1 and 6, press =.
4– = N 4 5 Ø 6 =
4
¬¬
¬¬
¬
5/6
[A.xxx] ø
4.833333333
[A/B] æ
29/6
1 ÷ 3 = 1 / 3 =
0.333333333
[A/B] æ
1/3
6 ÷ 5 = 6 / 5 =
1.2
[A/B] æ
SIMP
12/10
[AB/C] º
SIMP
1
¬¬
¬¬
¬
2/10
[A.xxx] ø
1.2
1.25 + – = 1.25 + 2 Ø 5 =
1.65
[AB/C] º
SIMP
1
¬¬
¬¬
¬
65/100
ª==
1
¬¬
¬¬
¬
13/20
5 6
2 5
STATISTICAL CALCULATIONS
To enter the statistical mode, press @”. The indicator symbol will appear. The following statistics can be obtained:
x : Mean of sample (x) sx : Standard deviation of sample (x)
σ
x : Population standard deviation of sample (x)
n
: Number of samples
Σ
x : Total number of samples (x)
Σ
x2: Sum of the squares of sample (x)
Entering Data
To enter sample data, use the numeric keys and press k(O key) after each value. To enter data with its frequency, use the numeric keys to enter the value, then press §(R key), enter the fre­quency, then press k.
Conversion from/to a Fraction
º : Converts a decimal or improper fraction to a
mixed fraction.
æ : Converts a mixed fraction or decimal to an im-
proper fraction. In some cases, a decimal may not be converted to a fraction.
ø : Converts an improper fraction or a mixed frac-
tion to a decimal.
Calculating with Fractions
Fractions can be incorporated into an arithmetic calculation. The “SIMP” symbol will appear with a calculation result if the answer can be further simplified. Refer to the following sec­tion of this manual for details.
* If = is pressed instead of a number entry, the lowest
common denominator will automatically be displayed.
1 2
– + – = N 1 Ø 3 + 1 Ø 4
1/3+1/4_
ª
DENOM.?
SIMP
28/48
=*
12_
SIMP
28/48
=
4/12+3/12_
=
7/12
131
4
[Automatic Simplification]
* If you do not know a common factor, press =. The
greatest common factor “6” will be displayed.
[Manual Simplification]
* “2” is entered as a factor, and “SIMP” will be displayed
to indicate further simplification of the fraction is possible. If the entered value is not a common factor, the cursor will be set under the value. Press d to clear the value, then enter a correct common factor. Press N to return to the “FACTOR?” display.
Now that you have learned how to reduce a fraction to its simplest form, you can start using your calculator to per­form fraction calculations quickly and efficiently.
– + — = N 1 Ø 3 + 2 Ø 12 =
SIMP
6/12
ª
FACTOR?
SIMP
6/12
=*6_
SIMP
6/12
=
1/2
132
12
– + — = N 1 Ø 3 + 2 Ø 12 =
SIMP
6/12
ª
FACTOR?
SIMP
6/12
2 =*
SIMP
23/6
ª 3 =
1/2
132
12
– + — = N 5 Ø 6 + 1 Ø 14 =
SIMP
38/42
=*
19/21
561
14
* If = is pressed instead of ª, the number will auto-
matically be reduced down to its simplest form with the greatest common factor.
Reducing to the lowest denominator
Prior to pressing the = key, a common denominator can be set to organize calculations.
– + – = N 1 Ø 3 + 1 Ø 4
1/3+1/4_
ª
DENOM.?
SIMP
28/48
48 =*
16/48+12/48_
=
SIMP
28/48
131
4
How to Simplify a Fraction
Reducing to its simplest form
If the result of pressing = is displayed with the “SIMP” symbol, the calculation can be reduced further. Use the ª key to set the factor of the fraction to simplify, either automati­cally or manually.
4– = N 2 Ø 3 =
2/3
4– = 4 1 Ø 2 =
4
¬¬
¬¬
¬
1/2
2 3
1 2
• Up to 10 key strokes, including “¬” and “
/
”, can be used to
enter a fraction.
* Enter a common denominator for the two fractions.
If the entered value is not a common denominator, the cursor will be set under the value. Press d to clear the value, then enter a correct common denominator. Press N to return to the “DENOM.?” display.
Now that you have learned how to reduce a fraction to its lowest denominator, you can start using your calculator to perform fraction calculations quickly and efficiently.
– + – = N 1 Ø 2 + 1 Ø 3 =
5/6
× – = 2 Ø 5 * 1 Ø 3 =
2/15
1 3
132
5
* The number of samples for the entered data will be dis-
played.
• Entered data are kept in memory until @c or @” are pressed. Before entering new data, clear the memory contents.
• If the number of the sample values exceeds 999,999,999 “
n
=” will not appear.
• When inputting a formula as a sample value with frequency, parenthesize the data.
Example: (
A
* B
frequency
k
Calculating Statistical Quantities
@c 30 § 5 k
n = 5.
40 § 3 k
n = 8.
50 § 10 k
n = 18.
60 § 12 k
n = 30.
70 § 13 k
n = 43.
80 § 9 k
n = 52.
90 § 7 k
n = 59.
100 § 3 k
n = 62.
65.32258065
18.52935128
@p
18.37931358
@n
n = 62.
@z
Σ
x
= 4050.
@w
Σ
x
2
= 285500.
Score Number of
Persons
30 5 40 3 50 10 60 12 70 13 80 9 90 7
100 3
• If both the resulting digits and the function name (such as
Σ
x=) cannot be contained in the display, only the resulting value will be displayed; the function name will not be displayed.
Statistical Calculation Formulas
Σx = x1 + x2 + ··· + x
n
Σx2 = x
1
2
+ x
2
2
+ ··· + x
n
2
(n: number of samples)
x =
Σx
n
sx =
Σx
2
– nx
2
n – 1
σx =
Σx
2
– nx
2
n
In the statistical calculation formulas, an error will occur if:
• the absolute value of the intermediate result or calculation result is equal to or greater than 1 x 10
100
.
• the denominator is zero.
• an attempt is made to take the square root of a negative number.
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 to delete it.
Calculation Ranges
Within the ranges specified below, this calculator is
accurate to ±1 of the least significant digit of the mantissa. However, a calculation error increases in con­tinuous calculations due to accumulation of each cal­culation error. (This is the same for y
x, x
¿¿
¿¿
¿
y, etc. where
continuous calculations are performed internally.)
Additionally, a calculation error will accumulate and become larger in the vicinity of inflection points and singular points of functions.
• Calculation range: ±10
-99
~ ±9.999999999×1099 and 0.
If the absolute value of an entry or a final or intermediate result of a calculation is less than 10
–99
, the value is consid-
ered to be 0 in calculations and in the display.
Function Dynamic range
sin x
DEG : |x| < 10
10
cos x
(tan x : |x| 90(2n–1))*
tan x
sin–1x
|x| 1
cos–1x tan–1x |x| < 10
100
.
y > 0: –10
100
< xlogy < 100
y
x
. y = 0: 0 < x < 10
100
.
y < 0: x = n (0 < |x| < 1: – = 2n–1, x 0)*,
–10
100
< xlog |y| < 100
.
y > 0: –10
100
< – logy 100 (x 0)
x
¿y
.
y = 0: 0 < x < 10
100
.
y < 0: x = 2n–1 (0 < |x| < 1: – = n, x 0)*,
–10
100
< – log |y| 100
1
x
1
x
1
x
1
x
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
100
.
• An attempt was made to divide by 0.
• The calculation ranges were exceeded while performing calcu­lations.
Depth error (Error 3):
• The available number of buffers was exceeded. (There are 8 buffers* for numeric values and 16 buffers for calculation in­structions).
* 4 buffers in STAT mode.
Equation too long (Error 4):
• The equation exceeded its maximum input buffer (159 charac­ters). An equation must be shorter than 159 characters.
Enter the data “7”
N@” ’ @c 7
7_
k
n = 1.
*
There are 13 students
@c 70 § 13
70, 13_
who scored 70 in the
k
n = 13.
test, and 5 students
50 § 5
50, 5_
who scored 50.
k
n = 18.
ERROR AND CALCULATION RANGES
Errors
An error will occur if an operation exceeds the calculation ranges, or if a mathematically illegal operation is attempted. If an error occurs, pressing < (or >) automatically moves the cursor back to the place in the equation where the error occurred. Edit the equation or press N to clear the equation.
BATTERY REPLACEMENT
Notes on Battery Replacement
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.
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.
Cautions
• Fluid from a leaking battery accidentally entering an eye 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.
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: 3 V (DC):
Alkaline batteries (LR44) × 2 Power consumption: 0.0006 W
Operating time: Approx. 2000 hours, when continu-
ously 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) External dimensions:
78.6 mm (W) × 144 mm (D) × 10.5 mm (H)
3-3/32” (W) × 5-21/32” (D) × 13/32” (H) Weight: Approx. 68 g (0.15 lb)
(Including batteries) Accessories: Batteries × 2 (installed), operation
manual, quick reference card and
hard case.
Replacement Procedure
1. Turn the power off by pressing @F.
2. Loosen both screws and remove the bat­tery cover.
3. Replace the old batteries with new, with the positive (+) sides facing up.
4. Replace the battery cover and screws.
5. Press the RESET switch on the back.
• Make sure that the display appears as shown. Otherwise, remove the bat­teries, reinstall, and check the dis­play again.
FOR MORE INFORMATION ABOUT SCIENTIFIC CALCULATOR
Visit us on the Internet at: http://sharp-world.com/calculator/
This equipment complies with the requirements of Directive 89/336/EEC as amended by 93/68/EEC. Dieses Gerät entspricht den Anforderungen der EG-Richtlinie 89/336/EWG mit Änderung 93/68/EWG. Ce matériel répond aux exigences contenues dans la directive 89/336/CEE modifiée par la directive 93/68/CEE. Dit apparaat voldoet aan de eisen van de richtlijn 89/336/EEG, gewijzigd door 93/68/ EEG. Dette udstyr overholder kravene i direktiv nr. 89/336/EEC med tillæg nr. 93/68/EEC. Quest’apparecchio è conforme ai requisiti della direttiva 89/336/EEC come emendata dalla direttiva 93/68/EEC.
ÂÁηٿÛÙ·ÛË ·˘Щ‹ ·УЩ·ФОЪ›УВЩ·И ЫЩИ˜ ··ИЩ‹ЫВИ˜ ЩˆУ Ф‰ЛБИТУ ЩЛ˜˘Úˆ·˚΋˜ ∂ÓˆÛ˘ 89/336/∂√∫, fiˆ˜ Ф О·УФУИЫМ˜ ·˘Ù˜ Û˘ÌÏËÚÒıËΠ· ÙËÓ Ô‰ËÁ›· 93/68/∂√∫.
Este equipamento obedece às exigências da directiva 89/336/CEE na sua versão corrigida pela directiva 93/68/CEE. Este aparato satisface las exigencias de la Directiva 89/336/CEE, modificada por medio de la 93/68/CEE. Denna utrustning uppfyller kraven enligt riktlinjen 89/336/EEC så som kompletteras av 93/68/EEC. Dette produktet oppfyller betingelsene i direktivet 89/336/EEC i endringen 93/68/ EEC. Tämä laite täyttää direktiivin 89/336/EEC vaatimukset, jota on muutettu direktiivillä 93/68/EEC.
SHARP CORPORATION
x
2
|x| < 10
50
x
3
|x| < 2.15443469
×
10
33
¿x 0 x < 10
100
x
–1
|x| < 10
100
(x 0)
* n: positive integers
Automatic Power Off Function
This calculator will turn its power off automatically if no key is pressed for about 10 minutes.
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