fx-100AU PLUS
(2nd edition / NATURAL-V.P.A.M.)
Before Using the Calculator
Calculation Modes and Calculator Setup
Inputting Expressions and Values
- ▶Basic Input Rules
- ▶Inputting with Natural Display
- ▶Using Values and Expressions as Arguments (Natural Display only)
- ▶Overwrite Input Mode (Linear Display only)
- ▶Correcting and Clearing an Expression
Basic Calculations
- ▶Toggling Calculation Results
- ▶Fraction Calculations
- ▶Percent Calculations
- ▶Degree, Minute, Second (Sexagesimal) Calculations
- ▶Multi-Statements
- ▶Using Engineering Notation
- ▶Prime Factorization
- ▶Calculation History and Replay
- ▶Using Memory Functions
Function Calculations
- ▶Pi (π), Natural Logarithm Base e
- ▶Trigonometric Functions
- ▶Hyperbolic Functions
- ▶Angle Unit Conversion
- ▶Exponential Functions
- ▶Logarithmic Functions
- ▶Power Functions and Power Root Functions
- ▶Rectangular-Polar Coordinate Conversion
- ▶Factorial Function (!)
- ▶Absolute Value Function (Abs)
- ▶Random Number (Ran#)
- ▶Random Integer (RanInt#)
- ▶Permutation (nPr) and Combination (nCr)
- ▶Rounding Function (Rnd)
- ▶Greatest Common Divisor (GCD) and Least Common Multiple (LCM)
- ▶Metric Conversion
Using Calculation Modes
- ▶Complex Number Calculations (CMPLX)
- ▶Statistical Calculations (STAT)
- ▶Base-n Calculations (BASE-N)
- ▶Using VERIFY (VERIF)
- ▶Vector Calculations (VECTOR)
Technical Information
- ▶Errors
- ▶Before Assuming Malfunction of the Calculator...
- ▶Replacing the Battery
- ▶Calculation Priority Sequence
- ▶Calculation Ranges, Number of Digits, and Precision
- ▶Specifications
- ▶Verifying the Authenticity of Your Calculator
Frequently Asked Questions
Complex Number Calculations (CMPLX)
To perform complex number calculations, first press (CMPLX) to enter the CMPLX Mode.
You can use either rectangular coordinates (a+bi) or polar coordinates (r∠θ) to input complex numbers.
Complex number calculation results are displayed in accordance with the complex number format setting on the setup menu.
Example 1: (2 + 6i) ÷ (2i) = 3 - i (Complex number format: a+bi)
- 26(i)2(i)
- 3-i
Example 2: √2∠45 = 1 + i (MthIO-LineO) (Angle unit: Deg)
(Complex number format: a+bi)
- 2(∠) 45
- 1+i
Example 3: √2 + √2i = 2∠45 (MthIO-LineO) (Angle unit: Deg)
(Complex number format: r∠θ)
- 22(i)
- 2∠45
Note
If you are planning to perform input and display of the calculation result in polar coordinate format, specify the angle unit before starting the calculation.
The θ value of the calculation result is displayed in the range of -180° < θ ≦ 180°.
Display of the calculation result while Linear Display is selected will show a and bi (or r and θ) on separate lines.
CMPLX Mode Calculation Examples
Example 1: (1 - i)-1 = 12 + 12i (MthIO-LineO) (Complex number format: a+bi)
- 1(i)
- 12+12i
Example 2: (1 + i)4 + (1 - i)2 = -4 - 2i (MthIO-LineO)
- 1(i)41(i)
- -4-2i
Example 3: To obtain the conjugate complex number of 2 + 3i
(Complex number format: a+bi)
- (CMPLX)(Conjg) 23(i)
- 2-3i
Example 4: To obtain the absolute value and argument of 1 + i (MthIO-LineO) (Angle unit: Deg)
Absolute Value (Abs):
- 1(i)
- 1.414213562
Argument (arg):
- (CMPLX)(arg) 1(i)
- 45
Using a Command to Specify the Calculation Result Format
Either of two special commands (r∠θ or a+bi) can be input at the end of a calculation to specify the display format of the calculation results.
The command overrides the calculator's complex number format setting.
Example: √2 + √2i = 2∠45, √2∠45 = 1 + i (MthIO-LineO) (Angle unit: Deg)
- 22(i)(CMPLX)(r∠θ)
- 2∠45
- 2(∠) 45(CMPLX)(a+bi)
- 1+i