Equation operating system (eos™), Implied multiplication, Parentheses – Texas Instruments TI-86 User Manual
Page 409
Appendix
397
99APPX.DOC TI-86, Appendix, US English Bob Fedorisko Revised: 02/27/01 1:20 PM Printed: 02/27/01 1:26 PM Page 397 of 26
99APPX.DOC TI-86, Appendix, US English Bob Fedorisko Revised: 02/27/01 1:20 PM Printed: 02/27/01 1:26 PM Page 397 of 26
Equation Operating System (EOS™)
The Equation Operating System (EOS) governs the order of evaluation on the TI
-86.
Calculations within parentheses are evaluated first, and then EOS evaluates functions
within an expression in this order:
1st
Functions that are entered after the argument, such as
2
,
M
1
,
!
,
¡,
r
, and conversions
2nd
Powers and roots, such as
2^5
or
5
x
‡
32
3rd
Single-argument functions that precede the argument, such as
‡
(
,
sin(
, or
log(
4th
Permutations (
nPr
) and combinations (
nCr
)
5th
Multiplication, implied multiplication, and division
6th
Addition and subtraction
7th
Relational functions, such as > or
8th
Logic operator
and
9th
Logic operators
or
and
xor
Implied Multiplication
The TI
-86 recognizes implied multiplication, so you need not press M to express
multiplication in all cases. For example, the TI
-86 interprets
2
p
,
4sin(46)
,
5(1+2)
, and
(2
¹
5)7
as
implied multiplication.
Parentheses
All calculations inside a pair of parentheses are completed
first. For example, in the expression
4(1+2)
, EOS evaluates
1+2
inside the parentheses first, and then multiplies
3
by
4
.
Within a priority level, EOS
evaluates functions from left
to right.
Multi-argument functions,
such as nDeriv(A2,A,6), are
evaluated as they are
encountered.
TI
-
86 implied multiplication
rules differ from those of the
TI-85. For example, the TI
-
86
evaluates 1
à
2x
as (1
à
2)
¹
x
,
while the TI-85 evaluates
1
à
2x
as 1
à
(2
¹
x)
.