Texas Instruments TI-84 PLUS SILV Guidebook - Page 36
Equation Operating System (EOS™), Order of Evaluation, Implied Multiplication, Parentheses
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Equation Operating System (EOS™) Order of Evaluation The Equation Operating System (EOS™) defines the order in which functions in expressions are entered and evaluated on the TI-84 Plus. EOS™ lets you enter numbers and functions in a simple, straightforward sequence. EOS™ evaluates the functions in an expression in this order. Order Number Function 1 Functions that precede the argument, such as ‡, sin(, or log( 2 Functions that are entered after the argument, such as 2, M1, !, ¡, r, and conversions 3 Powers and roots, such as 25 or 5x 32 4 Permutations (nPr) and combinations (nCr) 5 Multiplication, implied multiplication, and division 6 Addition and subtraction 7 Relational functions, such as > or 8 Logic operator and 9 Logic operators or and xor Note: Within a priority level, EOS™ evaluates functions from left to right. Calculations within parentheses are evaluated first. Implied Multiplication The TI-84 Plus recognizes implied multiplication, so you need not press ¯ to express multiplication in all cases. For example, the TI-84 Plus interprets 2p, 4sin(46), 5(1+2), and (2...5)7 as implied multiplication. Note: TI-84 Plus implied multiplication rules, although like the TI-83, differ from those of the TI-82. For example, the TI-84 Plus evaluates 1à2X as (1à2)...X, while the TI-82 evaluates 1à2X as 1à(2...X) (Chapter 2). Parentheses All calculations inside a pair of parentheses are completed first. For example, in the expression 4(1+2), EOS first evaluates the portion inside the parentheses, 1+2, and then multiplies the answer, 3, by 4. Chapter 1: Operating the TI-84 Plus Silver Edition 29