Calculator CASIO fx- 570 ES PLUS
Lim Hwee Cheng
Factorization
Polynomial
Solving Simultaneous Equations
Matrices
Statistics
MODE
RESET
SHIFT 9 (CLR ) 3 (ALL) = AC
To clear all the data
currently in calculator
memory
Key Pad Instruction
• White : press on
• Orange : press SHIFT
• Red : press ALPHA
• Green : Number Base
EQUATION CALCULATIONS
To start a EQN calculation, perform key operation
MODE 5 (EQN) to enter EQN MODE as below:
1= Simultaneous linear equation with 2 unknowns
2= Simultaneous linear equation with 3 unknowns
3= Quadratic equation
4= Qubic equation
Solve for 2x2 x 3 0
Step Action
1 MODE 5 to enter EQN mode
2 3 to choose QUADRATIC form
Input the coefficients ( a=2, b=1, c=-3)
3
2= 1= -3=
4 = to get the 1st solution
= to get the 2nd solution
(x 1)(2x 3) 0
x 1 and x 3
2
Factorize P(x) 2x3 5x2 9x 18 completely and determine
its zeros.
Step Action
1 MODE 5 to enter EQN mode
2 4 to choose QUBIC form
Input the coefficients ( a=2, b= 5, c= 9, d= 18)
3
2= - 5= - 9 = 18=
Step Action
4 = to get the 1st solution
= to get the 2nd solution
= to get the 3rd solution
We can easily convert into factorization form
5 Base on the solutions from calculator x 2, x 3, x 3
2
We can easily convert into factorization form
P(x) (x 2)(x 3)(2x 3)
When P(x) 0, the zeros are 2, 3and 3
2
Solve for x + 2y = 3 and 2x + 3y = 4
Step Action
1 MODE 5 to enter EQN mode
2 1 anX + bnY = cn
Input the coefficients
3 1= 2= 3=
2= 3= 4=
4 To get the solutions
= x = 1
= y= 2
Solve the followings system of linear equation
x–y+z=2
x+y–z=0
–x + y + z = 4
Step Action
1 MODE 5 to enter EQN mode
2 1 anX + bnY + cnZ= dn
Input the coefficients
3
1= - 1 = 1 = 1=
1= 1= - 1 = 0=
- 1= 1= 1 = 4=
Step Action
4 To get the solutions
= x= 1
= y= 2
= z= 3
STEP 1 : Set MATRIX MODE MODE 6
STEP 2 : Assign data to special matrix variables
MatA, MatB, MatC
STEP 3 : Choose the order of the matrices
STEP 4 : Apply the Calculations Operation
Action Steps
Press MODE 6 (MATRIX)
Set
MATRIX MODE
Assign data to
SPECIAL MATRIX
VARIABLES
Choose the ORDER
of the Matrix
Enter the entries of Press AC to CLEAR SCREEN.
Matrix A, Matrix B
and Matrix C. Press SHIFT 4 (MATRIX) to enter the entries
of other matrices.
Let A 2 1 and B 2 1
1 1 1 1
Find a) A + B b) B A c) AB
Action Steps
MODE 6 (MATRIX)
MATRIX MODE
A Mat A 1 (MAT A) 5 (2 X 2)
Input the ENTRIES 2= 1= 1= 1=
of MatA:
Action Steps
AC (Clear Screen) SHIFT 4 (MATRIX)
Input 2 (Data)
elements
of other
matrices
B Mat B 2 (Mat B) 5 (2 X 2) =
Input the 2= -1= - 1= 1=
ENTRIES
of MatB: Press AC (Clear Screen) to peform the first
calculation screen.
Action Steps
Clear Screen AC (Clear Screen)
SHIFT 4 (MATRIX)
Calculation SHIFT 4 (MATRIX)
(MatA + MatB) 3 (MAT A) + SHIFT 4 (MATRIX) 4 (MAT B)
Solution Press =
A B 4 0
0 2
Action Steps
Clear Screen AC (Clear Screen)
SHIFT 4 (MATRIX)
Calculation 4 (MAT B) - SHIFT 4 (MATRIX) 3 (MAT A)
(Mat B Mat A)
Solution Press =
B A 0 2
2
0
Action Steps
Clear Screen AC (Clear Screen)
SHIFT 4 (MATRIX)
Calculation 3 (MAT A) X SHIFT 4 (MATRIX) 4 (MAT B)
(Mat A × Mat B)
Solution Press =
AB 3 1
1
0
STATISTICAL CALCULATIONS
To start a statistical calculation, perform key operation
MODE 3 (STAT) to enter STAT MODE and choose
1 ( 1 – VAR )
Notes SHIFT MODE
To ON / OFF Frequency Column ,
and press 4 (STAT)
Action MODE Steps
INPUTTING DATA 3 (STAT) 1 ( 1 – VAR )
Alternative Input the data into column X ( class mark ) and column FREQ
Method 1 ( class frequency)
Alternative SHIFT 1 (STAT / DIST)
Method 2
In STAT MODE and ON
Frequency column
2 ( 2: DATA )
Input the data into column X ( class mark ) and column FREQ
( class frequency)
Action 1) SHIFT Steps
1 (STAT / DIST)
OBTAINING
STATISTICAL
VALUES FROM
INPUT DATA
Summation 2) 3 (Sum)
To obtain statisticAaCl 1
values, press
while in the STAT Screen displays
MODE the total of x2
2
Screen displays
the total of x
Action Steps
1 (STAT / DIST)
OBTAINING
STATISTICAL VALUES 1) SHIFT
FROM INPUT DATA
Variance 2) 4 (Var)
Standard deviation
Mean
Number of data
To obtain statistical 1 (n) : Screen displays the NUMBER of data x
values, press AC __
while in the STAT
MODE 2 (x) : Screen displays the MEAN of data x
3 (x) : Screen displays the POPULATION
Standard Deviation
4 (sx) : Screen displays the SAMPEL
Standard Deviation
When frequencies are involved,
n f
x fx
x2 fx2
UNGROUP DATA
The following are the measured 100-meter race times for
five students.
12.5 11.6 10.8 12.8 11.4 (Unit: Seconds)
Calculate the MEAN and the SAMPLE STANDARD DEVIATION
for these results.
The following shows operation using the CASIO 570 ES PLUS
STEP OPERATION
1 Enter the STAT MODE and clear the statistical memory
MODE 3 (STAT) 1 ( 1 – VAR )
SHIFT 9 (CLR ) 2 (MEMORY) = AC
2 Input the data
SHIFT 1 (STAT / DIST) 2 ( DATA )
Remember to ON Frequency Column!
Input a value and press =
The DEFAULT VALUE of FREQ is 1.
STEP OPERATION
1 Calculate the MEAN of the data.
AC SHIFT 1 (STAT / DIST) 3 ( SUM )
Press 2 ( x ) =
Mean x 59.1 11.82
n5
You may check the answer for MEAN by following operation.
AC SHIFT 1 (STAT / DIST) 4 ( VAR )
Press _
2 ( x) =
MEAN
STEP OPERATION
2 Calculate STANDARD DEVIATION of the data.
AC SHIFT 1 (STAT / DIST) 3 ( SUM )
Press 1 ( x2 ) = Press 2 ( x ) =
sx 1 701.25 59.12
4 5
0.8197560613
You may check the answer for MEAN by following operation.
AC SHIFT 1 (STAT / DIST) 4 ( VAR )
Press 4 ( sx) = STANDARD
DEVIATION
GROUP DATA
Find the mean and standard deviation of the following
grouped data.
Load(kN) Number of cables 1. Find Class Mark
80 - 84 3 xi 80 84 82
85 - 89 5 2
90 - 94 11
95 - 99 14 2. Frequency, fi
100 - 104 9
105 - 109 5
110 - 114 3
GROUP DATA
xf ON STAT MODE and FREQUENCY COLUMN
82 3
87 5 Press SHIFT 1 2 to input class mark x
92 11 and frequency f for each class interval
97 14
102 9 Input frequency
107 5 fi at the 2nd
112 3 Column
Input class mark xi
at the 1st Column
82 =
87 =
: =
:
112
Press AC SHIFT 1 GROUP DATA
3 2 = to get values of fx
Mean , x fx 4840 96.8kN
f 50
Press AC SHIFT 1 3 1 = to get values of fx2
Standard Deviation
1 1 fx 2 fx2 1 471360 48402 = 7.62 ( 3s.f)
f 50 1 50
f
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