# K order of operations – Casio FX-820MS User Manual

## Page 32

E-30

k **Order of Operations**

Calculations are performed in the following order of prec-

edence.

1 Coordinate transformation: Pol (

*x*

,

*y*

), Rec (

*r*

,

θ )

2 Type A functions:

With these functions, the value is entered and then the

function key is pressed.

*x*

3

,

* x*

2

,

*x*

Ҁ1

,

*x*

!,

° ’ ”

m

,

* *

m

1

,

* *

m

2

,

* *

n

Angle unit conversions (DRG

'

)

3 Powers and roots:

^ (*x*

*y*

)

,

*x*

4

*a*

*b*

/

*c*

5 Abbreviated multiplication format in front of

π

,

*e *

(natural

logarithm base), memory name, or variable name: 2

π

,

3

*e*

, 5A,

π

A, etc.

6 Type B functions:

With these functions, the function key is pressed and

then the value is entered.

,

3

, log, In,

*e*

*x*

, 10

*x*

, sin, cos, tan, sin

Ҁ1

, cos

Ҁ1

,

tan

Ҁ1

, sinh, cosh, tanh, sinh

Ҁ1

, cosh

Ҁ1

, tanh

Ҁ1

, (

Ҁ)

7 Abbreviated multiplication format in front of Type B func-

tions: 2 3, Alog2, etc.

8 Permutation and combination:

*n*

P

*r*

,

*n*

C

*r*

9

҂, Ö

0

ѿ, Ҁ

• Operations of the same precedence are performed from

right to left.

*e*

*x*

In

120

→

*e*

*x*

{In(

120)}

• Other operations are performed from left to right.

• Operations enclosed in parentheses are performed first.

• When a calculation contains an argument that is

a negative number, the negative number must be

enclosed within parentheses. The negative sign (–) is

treated as a Type B function, so par ticular care is

required when the calculation includes a high-priority

Type A function, or power or root operations.

**Example: **( –2)

4

= 16

–2

4

= –16