fx-82AU PLUS II
(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)
Using Calculation Modes
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
Calculation Ranges, Number of Digits, and Precision
The calculation range, number of digits used for internal calculation, and calculation precision depends on the type of calculation you are performing.
Calculation Range and Precision
Calculation Range | ±1 × 10-99 to ±9.999999999 × 1099 or 0 |
Number of Digits for Internal Calculation | 15 digits |
Precision | In general, ±1 at the 10th digit for a single calculation. Precision for exponential display is ±1 at the least significant digit. Errors are cumulative in the case of consecutive calculations. |
Function Calculation Input Ranges and Precision
Functions | Input Range | |
---|---|---|
sinx cosx |
Deg | 0 ≦ |x| < 9 × 109 |
Rad | 0 ≦ |x| < 157079632.7 | |
Gra | 0 ≦ |x| < 1 × 1010 | |
tanx | Deg | Same as sinx, except when |x| = (2n-1) × 90. |
Rad | Same as sinx, except when |x| = (2n-1) × π/2. | |
Gra | Same as sinx, except when |x| = (2n-1) × 100. | |
sin-1x, cos-1x | 0 ≦ |x| ≦ 1 | |
tan-1x | 0 ≦ |x| ≦ 9.999999999 × 1099 | |
sinhx, coshx | 0 ≦ |x| ≦ 230.2585092 | |
sinh-1x | 0 ≦ |x| ≦ 4.999999999 × 1099 | |
cosh-1x | 1 ≦ x ≦ 4.999999999 × 1099 | |
tanhx | 0 ≦ |x| ≦ 9.999999999 × 1099 | |
tanh-1x | 0 ≦ |x| ≦ 9.999999999 × 10-1 | |
logx, lnx | 0 < x ≦ 9.999999999 × 1099 | |
10x | -9.999999999 × 1099 ≦ x ≦ 99.99999999 | |
ex | -9.999999999 × 1099 ≦ x ≦ 230.2585092 | |
√x | 0 ≦ x < 1 × 10100 | |
x2 | |x| < 1 × 1050 | |
x-1 | |x| < 1 × 10100; x ≠ 0 | |
3√x | |x| < 1 × 10100 | |
x! | 0 ≦ x ≦ 69 (x is an integer) | |
nPr | 0 ≦ n < 1 × 1010, 0 ≦ r ≦ n (n, r are integers) 1 ≦ {n!/(n-r)!} < 1 × 10100 |
|
nCr | 0 ≦ n < 1 × 1010, 0 ≦ r ≦ n (n, r are integers) 1 ≦ n!/r! < 1 × 10100 or 1 ≦ n!/(n-r)! < 1 × 10100 |
|
Pol(x, y) | |x|, |y| ≦ 9.999999999 × 1099 √x2 + y2 ≦ 9.999999999 × 1099 |
|
Rec(r, θ) | 0 ≦ r ≦ 9.999999999 × 1099 θ: Same as sinx |
|
°’ ” | a°b’c”: |a|, b, c < 1 × 10100; 0 ≦ b, c The display seconds value is subject to an error of ±1 at the second decimal place. |
|
°’ ”← | |x| < 1 × 10100 |
|
xy | x > 0: -1 × 10100 < ylogx < 100 |
|
x√y | y > 0: x ≠ 0, -1 × 10100 < 1/x logy < 100 |
|
a b/c | Total of integer, numerator, and denominator must be 10 digits or less (including separator symbol). | |
RanInt#(a, b) | a < b; |a|, |b| < 1 × 1010; b - a < 1 × 1010 | |
GCD(a, b) | |a|, |b| < 1 × 1010 (a, b are integers) | |
LCM(a, b) | 0 ≦ a, b < 1 × 1010 (a, b are integers) |
Precision is basically the same as that described under "Calculation Range and Precision", above.
xy, x√y, 3√ , x!, nPr, nCr type functions require consecutive internal calculation, which can cause accumulation of errors that occur with each calculation.
Error is cumulative and tends to be large in the vicinity of a function's singular point and inflection point.