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.
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1st |
Expressions inside parentheses. |
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2nd |
Functions that need a ) and precede the argument, such as sin, log, and all R³´P menu items. |
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3rd |
Functions that are entered after the argument, such as x2 and angle unit modifiers. |
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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. |
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5th |
Negation (M). |
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6th |
Fractions. |
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7th |
Permutations (nPr) and combinations (nCr). |
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8th |
Multiplication, implied multiplication, division, and angle indicator ±. |
|
9th |
Addition and subtraction. |
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10th |
Logic operators and, nand. |
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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
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+ Q P M |
60 T 5 V M 12 < |
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(M) |
1 T M 8 T 12 < |
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‡ and + |
% b 9 T 16 < |
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|
( ) |
4 V ( 2 T 3 ) < |
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( ) and + |
4 ( 2 T 3 ) < |
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^ and ‡ |
% b 3 G 2 " T 4 G 2 < |
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( ) and M |
( M 3 ) F < M 3 F < |
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