Casio FX 115ES User Guide - Page 21

Reasons why the results of the examples are displayed in, decimal form - how to decimal

Page 21 highlights

The following shows the range for each of the coefficients (a, b, c, d, e, f ). 1 < a < 100, 1 < b < 1000, 1 < c < 100 0 < d < 100, 0 < e < 1000, 1 < f < 100 Example: 2'3 × 4 = 8'3 35'2 × 3 = 148.492424 (= 105'2) ' form decimal form 150'2 = 8.485281374 25 2 × (3 - 2'5 ) = 6 - 4'5 23 × (5 - 2'3 ) = 35.32566285 (= 115 - 46'3 ) ' form decimal form 10'2 + 15 × 3'3 = 45'3 + 10'2 15 × (10'2 + 3'3 ) = 290.0743207 (= 45'3 + 150'2 ) ' form decimal form '2 + '3 + '8 = '3 + 3'2 '2 + '3 + '6 = 5.595754113 ' form decimal form The underlined areas in the above examples indicate what caused decimal form to be used. Reasons why the results of the examples are displayed in decimal form - Value outside of the allowable range - More than two terms in the calculation result • Calculation results displayed in ' form are reduced to a common denominator. a'b + c d'e f → a′'b + d′'e c′ • c′ is the least common multiple of c and f. • Since calculation results are reduced to a common denominator, they are displayed in ' form even if coefficients (a′, c′, and d′) are outside the corresponding ranges of coefficients (a, c, and d). Example: '3 + '2 = 10'3 + 11'2 11 10 110 • The result is displayed in decimal form even when any intermediate result has three or more terms. Example: (1 + '2 + '3 )(1 - '2 - '3 )(= -4 - 2'6 ) = -8.898979486 E-19

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E-19
The following shows the range for each of the coefficients (
a
,
b
,
c
,
d
,
e
,
f
).
1
<
a
< 100, 1 <
b
< 1000, 1
<
c
< 100
0
<
d
< 100,
0
<
e
< 1000,
1
<
f
< 100
Example:
The underlined areas in the above examples indicate what caused
decimal form to be used.
Reasons why the results of the examples are displayed in
decimal form
- Value outside of the allowable range
- More than two terms in the calculation result
Calculation results displayed in
'
form are reduced to a common
denominator.
c
is the least common multiple of
c
and
f
.
• Since calculation results are reduced to a common denominator,
they are displayed in
'
form even if coefficients (
a
,
c
, and
d
)
are outside the corresponding ranges of coefficients (
a
,
c
, and
d
).
Example:
The result is displayed in decimal form even when any intermediate
result has three or more terms.
Example: (1 +
'
2 +
'
3 )(1 –
'
2 –
'
3 )(= –4 – 2
'
6 )
= –8.898979486
2
'
3
×
4 = 8
'
3
35
'
2
×
3 = 148.492424
(= 105
'
2)
150
'
2
= 8.485281374
25
2
×
(3 – 2
'
5 ) = 6 – 4
'
5
23
×
(5 – 2
'
3 ) = 35.32566285
(= 115 – 46
'
3 )
10
'
2 + 15
×
3
'
3 = 45
'
3 + 10
'
2
15
×
(10
'
2 + 3
'
3 ) = 290.0743207
(= 45
'
3 + 150
'
2 )
'
2 +
'
3 +
'
8 =
'
3 + 3
'
2
'
2 +
'
3 +
'
6 = 5.595754113
'
form
decimal form
'
form
decimal form
'
form
decimal form
'
form
decimal form
a
'
b
+
d
'
e
c
a
'
b
+
d
'
e
c
f
'
3
+
'
2
=
10
'
3 + 11
'
2
11
10
110