Casio FX300ES Operating Guide - Page 28

Errors

Page 28 highlights

x 2 |x| Ͻ 1 × 1050 x -1 |x| Ͻ 1 × 10100 ; x G 0 3 'x |x| Ͻ 1 × 10100 x ! 0 Ϲ x Ϲ 69 (x is an integer) 0 Ϲ n Ͻ 1 × 1010, 0 Ϲ r Ϲ n (n, r are integers) n P r 1 Ϲ {n!/(n-r)!} Ͻ 1 × 10100 0 Ϲ n Ͻ 1 × 1010, 0 Ϲ r Ϲ n (n, r are integers) n C r 1 Ϲ n!/r! Ͻ 1 × 10100 or 1 Ϲ n!/(n-r)! Ͻ 1 × 10100 Pol(x, y) Rec(r, Ƨ) °' " |x|, |y| Ϲ 9.999999999 × 1099 x2 + y2 Ϲ 9.999999999 × 1099 0 Ϲ r Ϲ 9.999999999 × 1099, Ƨ: Same as sinx |a|, b, c Ͻ 1 × 10100; 0 Ϲ b, c The display seconds value is subject to an error of ±1 at the second decimal place. |x| Ͻ 1 × 10100 Decimal ↔ Sexagesimal Conversions 0°0´0˝ Ϲ |x| Ϲ 9999999°59´59˝ x Ͼ 0: -1 × 10100 Ͻ ylogx Ͻ 100 x = 0: y Ͼ 0 x y x Ͻ 0: y = n, m (m, n are integers) 2n+1 However: -1 × 10100 Ͻ ylog |x| Ͻ 100 y Ͼ 0: x G 0, -1 × 10100 Ͻ 1/x logy Ͻ 100 ' x y y = 0: x Ͼ 0 y Ͻ 0: x = 2n+1, 2n+1 (m G 0; m, n are integers) m However: -1 × 10100 Ͻ 1/x log |y| Ͻ 100 a b/c Total of integer, numerator, and denominator must be 10 digits or less (including division marks). RanInt#(a, b) a Ͻ b; |a|, |b| Ͻ 1 × 1010; b - a Ͻ 1 × 1010 • 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. • The range for calculation results that can be displayed in π form when using Natural Display is |x| Ͻ 106. Note, however, that internal calculation error can make it impossible to display some calculation results in π form. It also can cause calculation results that should be in decimal form to appear in π form. Errors The calculator will display an error message whenever an error occurs for any reason during a calculation. There are two ways to exit an error message display: Pressing d or e to display the location of the error, or pressing A to clear the message and calculation. E-27

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E-27
x
2
|
x
|
³
1
×
10
50
x
–1
|
x
|
³
1
×
10
100
;
x
G
0
3
'
x
|
x
|
³
1
×
10
100
x
!
0
´
x
´
69 (
x
is an integer)
n
P
r
0
´
n
³
1
×
10
10
, 0
´
r
´
n
(
n
,
r
are integers)
1
´
{
n
!/(
n
r
)!}
³
1
×
10
100
n
C
r
0
´
n
³
1
×
10
10
, 0
´
r
´
n
(
n
,
r
are integers)
1
´
n
!/
r
!
³
1
×
10
100
or 1
´
n
!/(
n
r
)!
³
1
×
10
100
Pol(
x
,
y
)
|
x
|
,
|
y
|
´
9.999999999
×
10
99
x
2
+
y
2
´
9.999999999
×
10
99
Rec(
r
,
±
)
0
´
r
´
9.999999999
×
10
99
,
±
: Same as sin
x
°’ ”
|
a
|
,
b
,
c
³
1
×
10
100
; 0
´
b
,
c
The display seconds value
is subject to an error of ±1 at the second decimal place.
|
x
|
³
1
×
10
100
Decimal
Sexagesimal Conversions
0°0´0˝
´
|
x
|
´
9999999°59´59˝
x
y
x
±
0: –1
×
10
100
³
y
log
x
³
100
x
= 0:
y
±
0
x
³
0:
y
=
n
,
m
2
n
+1
(
m
,
n
are integers)
However: –1
×
10
100
³
y
log
|
x
|
³
100
x
'
y
y
±
0:
x
G
0, –1
×
10
100
³
1/
x
log
y
³
100
y
= 0:
x
±
0
y
³
0:
x
= 2
n
+1,
2
n
+1
m
(
m
G
0;
m
,
n
are integers)
However: –1
×
10
100
³
1/
x
log
|
y
|
³
100
a
b
/
c
Total of integer, numerator, and denominator must be 10
digits or less (including division marks).
RanInt#(
a
,
b
)
a
³
b
;
|
a
|
,
|
b
|
³
1
×
10
10
;
b
a
³
1
×
10
10
• Precision is basically the same as that described under “Calculation Range
and Precision”, above.
x
y
,
x
'
y
,
3
'
,
x
!,
n
P
r
,
n
C
r
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.
• The range for calculation results that can be displayed in
π
form when using
Natural Display is |
x
|
³
10
6
. Note, however, that internal calculation error
can make it impossible to display some calculation results in
π
form. It also
can cause calculation results that should be in decimal form to appear in
π
form.
Errors
The calculator will display an error message whenever an error occurs for
any reason during a calculation. There are two ways to exit an error message
display: Pressing
d
or
e
to display the location of the error, or pressing
A
to clear the message and calculation.