Direct Algebraic Entry - Texas Instruments TI-32 User Manual

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2 - Direct algebraic entry (AOS™)
The calculator follows algebraic rules that assign priorities to
mathematical operators. If these rules did not exist, an expression such
as 5 x 4 + 3 x 2 could be interpreted in several ways:
Algebraic rules specify that multiplication must be performed before
addition. The correct answer is therefore:
The mathematical operators are listed below in order of precedence.
1. Single-variable functions (trigonometrics, logarithmics, square,
square root, percentage, and inverse function) are performed first.
2. Exponentiation (y
3. Multiplication and division are performed when all above operations
are complete.
4. Addition and subtraction are performed when all above operations
are complete.
5. The [=] key completes all operations.
The operations are performed strictly in accordance with their respective
priority, as indicated in the rules above. The calculator remembers
operations and data to process them in the correct order. Once familiar
with the priorities of operations, you will easily solve most problems
through simple and straightforward entry.
The keys located on the right of the keyboard are laid out in such a way
as to remind you of the order of their respective operations:
x
[y
]
Exponentiation and roots
[÷]
Division and
[x]
Multiplication
[-]
Subtraction and
[+]
Addition
[=]
Equals
(completes all operations)
5 x (4 + 3) x 2 = 70
or (5 x 4) + (3 x 2) = 26
or ((5 x 4) + 3) x 2 = 46
(5 x 4) + (3 x 2) = 26.
x
x
) and roots (
√y) are performed next.
9 -E

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