Casio CFX-9970G User manual

Manual Calculations

2-1 Basic Calculations

2-2 Special Functions

2-3 Function Calculations

Chapter 2

2-1 Basic Calculations

kArithmetic Calculations

• Enter arithmetic calculations as they are written, from left to right.

• Use the -key to input the minus sign before a negative value.

• 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.

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 number of significant digit settings.

P.6

P.43

Basic Calculations 2 - 1

• Number of decimal place (Fix) and number of 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 automatically 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 cut off to K6(g)

the number of 4(NUM)4(Rnd)w28.571

decimal places you *Ans × _

specify. 14w399.994

P.321

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

2-2 Special Functions

kAnswer Function

The unit’sAnswer 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.

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 in any mode besides the

ALGBR Mode 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).

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, °’ ”.

P.16

2 - 2 Special Functions

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

• A calculation 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

f(One calculation back)

f(Two calculations back)

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.

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.

Example 6.9 ×123 = 848.7

123 ÷3.2 = 38.4375

AbcdaaA!W6(g)

5(:)g.j*aA!W

5(^)aA/d.cw

• 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

2-3 Function Calculations

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.

uHyperbolic Calculations (HYP) [OPTN]-[HYP]

•{sinh}/{cosh}/{tanh} ... hyperbolic {sine}/{cosine}/{tangent}

•{sinh-1}/{cosh-1}/{tanh-1} ... inverse hyperbolic {sine}/{cosine}/{tangent}

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(} ... probability {P(t)}/{Q(t)}/{R(t)}

•{t(} ... {value of normalized variate t(x)}

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.}

P.272

2 - 3 Function Calculations

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

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.

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

P.5

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