Fraction Approximation on Graphing Calculators
Comparisons
TI-Nspire CAS iOS App: Fractional Approximations |
* TI-NSpire CAS iOS App:
this should be similar to the TI-Nspire CAS handheld calculators, x→approxFraction(5.E-14)
* Casio Classpad fx-CP400: fractional approximation used by tofrac(approx(x))
* HP Prime (firmware 10077), pressing [a b/c] after the
number is entered
Square Root of 2, √2
Decimal Approximation
|
1.41421356237
|
TI-NSpire CAS
|
3,880,899/2,744,210
|
Casio Classpad fx-CP400
|
13,250,218/9,369,319
|
HP Prime
|
114,243/80,782
|
Square Root of 3, √3
Approximation
|
1.73205080757
|
TI-NSpire CAS
|
3,650,401/2,107,560
|
Casio Classpad fx-CP400
|
3,650,401/2,107,560
|
HP Prime
|
191,861/110,771
|
Square Root of 5, √5
Approximation
|
2.2360679775
|
TI-NSpire CAS
|
3,940,598/1,762,289
|
Casio Classpad fx-CP400
|
16,692,641/7,465,176
|
HP Prime
|
219,602/98,209
|
Euler’s Number, e
Approximation
|
2.71828182846
|
TI-NSpire CAS
|
14,665,106/5,394,991
|
Casio Classpad fx-CP400
|
14,665,106/5,394,991
|
HP Prime
|
219,602/98,209
|
The Constant Pi, π
Approximation
|
3.14159265359
|
TI-NSpire CAS
|
5,149,351/1,725,033
|
Casio Classpad fx-CP400
|
69,305,155/22,060,516
|
HP Prime
|
312,689/99,532
|
The Constant Pi, π^2
Approximation
|
9.86960440109
|
TI-NSpire CAS
|
26,140,802/2,648,617
|
Casio Classpad fx-CP400
|
26,140,802/2,648,617
|
HP Prime
|
12,59,401/127,604
|
The Golden Ratio, Φ = (1 + √5)/2
Approximation
|
1.61803398875
|
TI-NSpire CAS
|
5,702,887/3,524,578
|
Casio Classpad fx-CP400
|
5,702,887/3,524,578
|
HP Prime
|
121,393/75,025
|
The Zeta of 3, ζ(3) ≈ 1.20205693015959428539
Approximation
|
1.20205690316
|
TI-NSpire CAS
|
2,721,755/2,264,248
|
Casio Classpad fx-CP400
|
2,721,755/2,264,248
|
HP Prime
|
927,328/771,451
|
This blog is property of Edward Shore, 2016