Casio FX-9750G User manual

Manual Calculations
2-1 Basic Calculations
2-2 Special Functions
2-3 Function Calculations
Chapter 2

36
2-1 Basic Calculations
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kArithmetic Calculations
•Enter arithmetic calculations as they are written, from left to right.
•Use the -key to input a negative value.
•Use the -key for subtraction
•Calculations are performed internally with a 15-digit mantissa. The result is
rounded to a 10-digit mantissa before it is displayed.
•For mixed arithmetic calculations, multiplication and division are given priority
over addition and subtraction.
Example Operation Display
23 + 4.5 – 53 = –25.5 23+4.5-53w–25.5
56 ×(–12) ÷(–2.5) = 268.8 56*-12/-2.5w268.8
(2 + 3) ×102= 500 (2+3)*1E2w*1500
1 + 2 – 3 ×4 ÷5 + 6 = 6.6 1+2-3*4/5+6w6.6
100 – (2 + 3) ×4 = 80 100-(2+3)*4w80
2 + 3 ×(4 + 5) = 29 2+3*(4+5w*229
(7 – 2) ×(8 + 5) = 65 (7-2)(8+5)w*365
6= 0.3 6/(4*5)w*40.3
4×5
*1“(2+3)E2” does not produce the correct result. Be sure to enter this calculation as
shown.
*2Final closed parentheses (immediately before operation of the wkey) may be omitted, no
matter how many are required.
*3A multiplication sign immediately before an open parenthesis may be omitted.
*4This is identical to 6 /4 /5 w.
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kNumber of Decimal Places, Number of Significant Digits,
Exponential Notation Range
•These settings can be made while setting up the display format (Display) with
the set up screen.
•Even after you specify the number of decimal places or the number of signifi-
cant digits, internal calculations are still performed using a 15-digit mantissa,
and displayed values are stored with a 10-digit mantissa. Use Rnd (4) of the
Numeric Calculation Menu (NUM) to round the displayed value off to the
number of decimal place and significant digit settings.
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37
Basic Calculations 2 - 1
•Number of decimal place (Fix) and significant digit (Sci) settings normally
remain in effect until you change them or until your change the exponential
display range (Norm) setting. Note also, however, that Sci setting is automati-
cally initialized to Norm 1 whenever you enter the Financial Mode.
•To change the exponential display range (Norm) setting, press 3(Norm)
while the display format (Display) menu is on the screen. Each time you
perform this operation, the range toggles between the following two settings.
Norm 1 ........... exponential display for values outside the range of 10–2 to 1010
Norm 2 ........... exponential display for values outside the range of 10–9 to 1010
Example 100 ÷6 = 16.66666666...
Condition Operation Display
100/6w16.66666667
4 decimal places !Z ccccccccc
1(Fix)5(4)Jw 16.6667
5 significant digits !Z ccccccccc
2(Sci)6(g)1(5)Jw 1.6667E+01
Cancels specification !Z ccccccccc
3(Norm)Jw 16.66666667
*1Displayed values are rounded off to the place you specify.
Example 200 ÷7 ×14 = 400
Condition Operation Display
200/7*14w400
3 decimal places !Z ccccccccc
1(Fix)4(3)Jw 400.000
Calculation continues
using display capacity 200/7w28.571
of 10 digits *Ans × _
14w400.000
• If the same calculation is performed using the specified number of digits:
200/7w28.571
The value stored
internally is rounded K6(g)
off to the number of 4(NUM)4(Rnd)w28.571
decimal places you *Ans × _
specify. 14w399.994
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38
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kCalculations Using Variables
Example Operation Display
193.2aaAw193.2
193.2 ÷23 = 8.4 aA/23w8.4
193.2 ÷28 = 6.9 aA/28w6.9
2 - 1 Basic Calculations

39
2-2 Special Functions
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kAnswer Function
The unit’s Answer Function automatically stores the last result you calculated by
pressing w(unless the wkey operation results in an error). The result is stored
in the answer memory.
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uTo use the contents of the answer memory in a calculation
Example 123 + 456 = 579
789 – 579 = 210
Abcd+efgw
hij-!Kw
•The largest value that the answer memory can hold is one with 15 digits for the
mantissa and 2 digits for the exponent.
•Answer memory contents are not cleared when you press the Akey or when
you switch power off.
•Note that answer memory contents are not changed by an operation that
assigns values to value memory (such as: faaAw).
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kPerforming Continuous Calculations
The unit lets you use the result of one calculation as one of the arguments in the
next calculation. To do so, use the result of the previous calculation, which is
currently stored in Answer Memory.
Example 1 ÷3 =
1 ÷3 ×3 =
Ab/dw
(Continuing)*dw
Continuous calculations can also be used with Type A functions (x2,x-1,x!), +, –,
^(xy), x, °’ ”.
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40
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kUsing the Replay Function
The Replay Function automatically stores the last calculation performed into
replay memory. You can recall the contents of the replay memory by pressing d
or e.
If you press e, the calculation appears with the cursor at the beginning. Pressing
dcauses the calculation to appear with the cursor at the end. You can make
changes in the calculation as you wish and then execute it again.
Example To perform the following two calculations
4.12 ×6.4 = 26.368
4.12 ×7.1 = 29.252
Ae.bc*g.ew
dddd
h.b
w
•Acalculation remains stored in replay memory until you perform another
calculation or change modes.
•The contents of the replay memory are not cleared when you press the A
key, so you can recall a calculation and execute it even after performing the all
clear operation. Note, however, that replay memory contents are cleared
whenever you change to another mode or menu.
•After you press A, you can press for cto recall previous calculations, in
sequence from the newest to the oldest (Multi-Replay Function). Once you
recall a calculation, you can use eand dto move the cursor around the
calculation and make changes in it to create a new calculation. Note, however,
that multi-replay memory contents are cleared whenever you change to
another menu.
Example
Abcd+efgw
cde-fghw
A
f(One calculation back)
f(Two calculations back)
2 - 2 Special Functions

41
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kMaking Corrections in the Original Calculation
Example 14 ÷0 ×2.3 entered by mistake for 14 ÷10 ×2.3
Abe/a*c.dw
Press dor e.
Make necessary changes.
d![b
Execute it again.
w
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kUsing Multistatements
Multistatements are formed by connecting a number of individual statements for
sequential execution. You can use multistatements in manual calculations and in
programmed calculations. There are two different ways that you can use to
connect statements to form multistatements.
•Colon (:)
Statements that are connected with colons are executed from left to right, without
stopping.
•Display Result Command (^^
^^
^)
When execution reaches the end of a statement followed by a display result
command, execution stops and the result up to that point appears on the display.
You can resume execution by pressing the wkey.
Special Functions 2 - 2
Cursor is positioned automatically at the
location of the cause of the error.

42
Example 6.9 ×123 = 848.7
123 ÷3.2 = 38.4375
AbcdaaA!W6(g)
5(:)g.j*aA!W
5(^)aA/d.cw
w
•Note that the final result of a multistatement is always displayed, regardless of
whether it ends with a display result command.
•You cannot construct a multistatement in which one statement directly uses the
result of the previous statement.
Example 123 ×456: ×5
Invalid
Intermediate result at point
where “ ^ ” is used.
2 - 2 Special Functions

43
2-3 Function Calculations
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kFunction Menus
This calculator includes five function menus that give you access to scientific
functions that are not printed on the key panel.
•The contents of the function menu differ according to the mode you entered
from the Main Menu before you pressed the Kkey. The following examples
show function menus that appear in the RUN or PRGM Mode.
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uHyperbolic Calculations (HYP) [OPTN]-[HYP]
•{sinh}/{cosh}/{tanh} ... hyperbolic {sine}/{cosine}/{tangent}
•{sinh-1}/{cosh-1}/{tanh-1} ... inverse hyperbolic {sine}/{cosine}/{tangent}
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uProbability/Distribution Calculations (PROB)
[OPTN]-[PROB]
•{x!} ... {press after inputting a value to obtain the factorial of the value.}
•{nPr}/{nCr} ... {permutation}/{combination}
•{Ran#}... {pseudo random number generation (0 to 1)}
•{P(}/{Q(}/{R(} ... normal probability {P(t)}/{Q(t)}/{R(t)}
•{t(} ... {value of normalized variate t(x)}
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uNumeric Calculations (NUM) [OPTN]-[NUM]
•{Abs} ... {select this item and input a value to obtain the absolute value of the
value.}
•{Int}/{Frac} ... select the item and input a value to extract the {integer}/
{fraction} part.
•{Rnd} ... {rounds off the value used for internal calculations to 10 significant
digits (to match the value in the Answer Memory), or to the number of
decimal places (Fix) and number of significant digits (Sci) specified by
you.}
•{Intg} ... {select this item and input a value to obtain the largest integer that is
not greater than the value.}
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44
2 - 3 Function Calculations
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uAngle Units, Coordinate Conversion, Sexagesimal Operations (ANGL)
[OPTN]-[ANGL]
•{°}/{r}/{g} ... {degrees}/{radians}/{grads} for a specific input value
•{°’ ”} ... {specifies degrees (hours), minutes, seconds when inputting a
sexagesimal value}
←
•{°’ ”} ... {converts decimal value to sexagesimal value}
←
•The {°’ ” } menu option appears only when there is a calculation result shown
on the display.
•{Pol(}/{Rec(} ... {rectangular-to-polar}/{polar-to-rectangular} coordinate
conversion
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uEngineering Notation Calculations (ESYM) [OPTN]-[ESYM]
•{m}/{µ}/{n}/{p}/{f} ... {milli (10-3)}/{micro (10-6)}/{nano (10-9)}/{pico (10-12)}/
{femto (10-15)}
•{k}/{M}/{G}/{T}/{P}/{E} ... {kilo (103)}/{mega (106)}/{giga (109)}/{tera (1012)}/
{peta (1015)}/{exa (1018)}
←
•{ENG}/{ENG} ... shifts the decimal place of the displayed value three digits to
the {left}/{right} and {decreases}/{increases} the exponent by three.
When you are using engineering notation, the engineering symbol is
also changed accordingly.
←
•The {ENG} and {ENG} menu options appear only when there is a calculation
result shown on the display.
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kAngle Units
•Once you specify an angle unit, it remains in effect until you specify a different
one. The specification is retained even if you turn power off.
•Be sure to specify “Comp” for Calculation/binary, octal, decimal, hexadecimal
mode.
Example Operation Display
To convert 4.25 rad to degrees: !Zcccc
1(Deg)J4.25K6(g)
5(ANGL)2(r)w243.5070629
47.3°+ 82.5rad = 4774.20181° 47.3+82.52(r)w4774.20181
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