Order of Operations

The TI-30XS MultiView™ calculator uses Equation Operating System (EOS™) to evaluate expressions. Within a priority level, EOS evaluates functions from left to right and in the following order.

1st

Expressions inside parentheses.

2nd

Functions that need a ) and precede the argument, such as sin, log, and all R ³ ´ P menu items.

3rd

Fractions.

4th

Functions that are entered after the argument, such as x2 and angle unit modifiers.

5th

Exponentiation (^) and roots (xÑ).

Note: In Classic mode, exponentiation using the G key is evaluated from left to right. The expression 2^3^2 is evaluated as (2^3)^2, with a result of 64.

In MathPrint™ mode, exponentiation using the G key is evaluated from right to left. The expression 2^3^2 is evaluated as 2^(3^2), with a result of 512.

The TI-30XS MultiView™ calculator evaluates expressions entered with F and a from left to right in both Classic and MathPrint modes. Pressing 3 F F is calculated as (32)2 = 81.

6th

Negation (M).

7th

Permutations (nPr) and combinations (nCr).

8th

Multiplication, implied multiplication, division.

9th

Addition and subtraction.

10th

Conversions (n/d ³ ´ Un/d, F ³ ´ D, 4DMS).

11th

< completes all operations and closes all open parentheses.

Examples

¼ Q P M

60 T 5 V M 12 <

(½)

1 T M 8 T 12 <

 

% b 9 T 6 <

( )

4 V D 2 T 3 E <

 

4 D 2 T 3 E <

^ and xÑ

% b 3 G 2 " T 4 G 2 <