User Manual

ERROR AND CALCULATION RANGES
Errors
An error will occur if an operation exceeds the calculation
ranges, or if a mathematically illegal operation is attempted. If
an error occurs, pressing < (or >) automatically moves
the cursor back to the place in the equation where the error
occurred. Edit the equation or press N to clear the equa-
tion.
Error Codes and Error Types
Syntax error (Error 1):
• An attempt was made to perform an invalid operation.
Ex. 2 +- 5 =
Calculation error (Error 2):
• The absolute value of an intermediate or final calculation
result equals or exceeds 10
100
.
• An attempt was made to divide by 0.
• The calculation ranges were exceeded while performing
calculations.
↓
↓
π
[Automatic Simplification]
* If you do not know a common factor, press =. The
greatest common factor “6” will be displayed.
[Manual Simplification]
* “2” is entered as a factor, and the “SIMP” will be displayed
to indicate further simplification of the fraction.
If the entered value is not a common factor, the cursor will
be set under the value. Press d to clear the value,
then enter a correct common factor. Press N to return
to the “FACTOR?” display.
Now that you have learned how to reduce a fraction to
its simplest form, you can start using your calculator to
perform fraction calculations quickly and efficiently.
– + — = N 1 Ø 3 + 2 Ø 12 =
SIMP
6/12
ª FACTOR?
SIMP
6/12
=* 6_
SIMP
6/12
= 1/2
1
3
2
12
– + — = N 1 Ø 3 + 2 Ø 12 =
SIMP
6/12
ª FACTOR?
SIMP
6/12
2 =*
SIMP
23/6
ª 3 = 1/2
1
3
2
12
– + — = N 5 Ø 6 + 1 Ø 14 =
SIMP
38/42
=* 19/21
5
6
1
14
* If = is pressed instead of ª, the number will
automatically be reduced down to its simplest form with
the greatest common factor.
Reducing to the lowest denominator
Prior to pressing the = key, a common denominator can
be set to organize calculations.
* Enter a common denominator of the two fractions.
If the entered value is not a common denominator, the
cursor will be set under the value. Press d to clear
the value, then enter a correct common denominator.
Press N to return to the “DENOM.?” display.
– + – = N 1 Ø 3 + 1 Ø 4 1/3+1/4_
ª DENOM.?
SIMP
28/48
48 =* 16/48+12/48_
=
SIMP
28/48
1
3
1
4
→
→
≤ ≤
π
π
π
θ θ θ
≤ θ ≤ ≤ θ ≤
≤ θ ≤ ≤ θ ≤ π
≤ θ ≤ ≤ θ ≤
→
→
→
→
→
→
Now that you have learned how to reduce a fraction to
its lowest denominator, you can start using your calcu-
lator to perform fraction calculations quickly and effi-
ciently.
* If = is pressed instead of a number entry, the least
common denominator will automatically be displayed.
– + – = N 1 Ø 3 + 1 Ø 4 1/3+1/4_
ª DENOM.?
SIMP
28/48
=* 12_
SIMP
28/
48
= 4/12+3/12_
= 7/12
1
3
1
4
4– = N 4 ∞ 5 Ø 6 = 4
¬¬
¬¬
¬
5/6
→ [A.xxx] ø 4.833333333
→ [A/B] æ 29/6
1 ÷ 3 = 1 / 3 = 0.333333333
→ [A/B] æ 1/3
6 ÷ 5 = 6 / 5 = 1.2
→ [A/B] æ
SIMP
12/10
→ [A
B
/
C
] º
SIMP
1
¬¬
¬¬
¬
2/10
→ [A.xxx] ø 1.2
1.25 + – = 1.25 + 2 Ø 5 = 1.65
→ [A
B
/
C
] º
SIMP
1
¬¬
¬¬
¬
65/100
ª== 1
¬¬
¬¬
¬
13/20
5
6
2
5
STATISTICAL CALCULATIONS
To enter the statistical mode, press @”. The indicator
symbol ’ will light up. The following statistics can be
obtained:
x : Mean of samples (x)
sx : Standard deviation of samples (x)
σ x : Population standard deviation of samples (x)
n: Number of samples
Σ x : Sum of samples (x)
Σ x
2
: Sum of the squares of samples (x)
Entering Data
To enter sample data, use the numeric keys and press
k(O key) after each value.
To enter data with its frequency, use the numeric keys to
enter the value, then press §(R key), enter the fre-
quency, then press k.
Enter the data “7” N@” ’
@c 7 7_
k n = 1. *
There are 13 students @c 70 § 13 70, 13_
who scored 70 in the k n = 13.
test, and 5 students 50 § 5 50, 5_
who scored 50. k n = 18.
* The number of samples for the entered data will be dis-
played.
• Entered data are kept in memory until @c or
@” are pressed. Before entering new data, clear
the memory contents.
• If the number of the sample values exceeds 999,999,999
“n=” will not appear.
• When inputting a formula as a sample value with frequency,
parenthesize the data.
Example: (
A * B )§ frequency k
Calculating Statistical Quantities
@c ’
30 § 5 k n = 5.
40 § 3 k n = 8.
50 § 10 k n = 18.
60 § 12 k n = 30.
70 § 13 k n = 43.
80 § 9 k n = 52.
90 § 7 k n = 59.
100 § 3 k n = 62.
@÷ 65.32258065
@£ 18.52935128
@p 18.37931358
@n n = 62.
@z Σ x = 4050.
@w Σ x
2
= 285500.
Score Number of
Persons
30 5
40 3
50 10
60 12
70 13
80 9
90 7
100 3
• If both the resulting digits and the function name (such as
Σ x=) cannot be contained in the display, only the resulting
value will be displayed; the function name will not be dis-
played.
Statistical Calculation Formulas
Σx = x
1
+ x
2
+ ··· + x
n
Σx
2
= x
1
2
+ x
2
2
+ ··· + x
n
2
(n: number of samples)
x =
Σx
n
sx =
Σx
2
– nx
2
n – 1
σx =
Σx
2
– nx
2
n
In the statistical calculation formulas, an error will occur:
• the absolute value of the intermediate result or calculation
result is equal to or greater than 1 x 10
100
.
• the denominator is zero.
• an attempt is made to take the square root of a negative
number.
≠
≠
≠
≤
≤
≠
≠
≠
≤
≤
≠
≤ ≤
≤ ≤ ≤
→ →
→
π
π
π
π
How to Simplify a Fraction
Reducing to its simplest form
If the result of pressing = is displayed with the “SIMP”
symbol, the calculation can be reduced further. Use the
ª key to set the factor of the fraction to simplify, either
automatically or manually.
Conversion from/to a Fraction
º : Converts a decimal or improper fraction to a
mixed fraction.
æ : Converts a mixed fraction or decimal to an im-
proper fraction. In some cases, a decimal may
not be converted to a fraction.
ø : Converts an improper fraction or a mixed frac-
tion to a decimal.
Correcting Entered Data
Correction prior to pressing k:
Delete incorrect data with N.
Correction after pressing k:
Press > to confirm the latest entry and press @J
to delete it.
√ √
π