Order of Operations

The TI-30X Plus MathPrint™ 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 R³´P menu items.

3rd

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

4th

Exponentiation (^) and roots (x).

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 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.

5th

Negation (M).

6th

Fractions.

7th

Permutations (nPr) and combinations (nCr).

8th

Multiplication, implied multiplication, division, and angle indicator ±.

9th

Addition and subtraction.

10th

Logic operators and, nand.

11th

Logic operators or, xor, xnor.

12th

Conversions such as 4n/d³´Un/d, F³´D, 4DMS.

13th

L

14th

< evaluates the input expression.

Note: End of expression operators and Base n conversions such as 4Bin, angle conversion 4DMS, 4Pfactor, and complex number conversions 4Polar and 4Rectangle, are only valid in the Home Screen. They are ignored in wizards, function table display and data editor features where the expression result, if valid, will display without a conversion.

Note: Use parentheses to clearly indicate the operation order you expect for your expression entry. If necessary, the parentheses can be used to override the order of operations followed by the algorithms in the calculator. If the result is not as expected, check how the expression was entered and add parentheses as needed.

Examples

+ Q P M

60 T 5 V M 12 <

(M)

1 T M 8 T 12 <

and +

% b 9 T 16 <

( )

4 V ( 2 T 3 ) <

( ) and +

4 ( 2 T 3 ) <

^ and

% b 3 G 2 " T 4 G 2 <

( ) and M

( M 3 ) F <

M 3 F <