Texas Instruments TI-30XIIB Owners Manual - Page 20

Calculator, Hierarchy

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Calculator Hierarchy In order to efficiently combine operations. you need to understand the standard algebraic rules that have been specifically programmed into the calculator. These algebraic rules assign priorities to the various mathematical operations. Without a fixed set of rules. expressions such as 5 x 4+ 3 x 2 could have several meanings: 5 x (4 + 3) x 2 - 70 or 5 x 4 +3 x 2=26 Or (5 x 4 + 3) x 2 46 or 5 x (4 + 3 x 2) = 50 Algebraic rules state that multiplication is to be performed before addition. So, algebraicly. the correct answer is (5 x 4) + (3 x 2) = 26. The complete list of priorities for interpreting expressions is: 1) Single-variable Functions 2) Exponentiation (r), Roots (' 7) 3) Multiplication. Division 4) Addition. Subtraction 5) Equals 1) Single-variable functions (trigonometric, logarithmic, square, square root. percent and reciprocal) immediately replace the displayed value with their respective functions. (y) 2) Exponentiation and roots are performed as soon as the single-variable functions are completed. 3) Multiplication and division are performed as soon as the special functions. exponentiation, root extraction and other multiplication and division are completed. 4) Addition and subtraction are performed only after all operations through multiplication and division as well as other addition and subtraction are completed. 5) Equals completes all operations. 18

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Calculator
Hierarchy
In
order
to
efficiently
combine
operations.
you
need
to
understand
the
standard
algebraic
rules
that
have
been
specifically
programmed
into
the
calculator.
These
algebraic
rules
assign
priorities
to
the
various
mathematical
operations.
Without
a
fixed
set
of
rules.
expressions
such
as
5
x
4+
3
x
2
could
have
several
meanings:
5
x
(4
+
3)
x
2
—
70
or
5
x
4
+3
x
2=26
Or
(5
x
4
+
3)
x
2
46
or
5
x
(4
+
3
x
2)
=
50
Algebraic
rules
state
that
multiplication
is
to
be
performed
before
addition.
So,
algebraicly.
the
correct
answer
is
(5
x
4)
+
(3
x
2)
=
26.
The
complete
list
of
priorities
for
interpreting
expressions
is:
1)
Single
-variable
Functions
2)
Exponentiation
(r),
Roots
('
7)
3)
Multiplication.
Division
4)
Addition.
Subtraction
5)
Equals
1)
Single
-variable
functions
(trigonometric,
logarithmic,
square,
square
root.
percent
and
reciprocal)
immediately
replace
the
displayed
value
with
their
respective
functions.
2)
Exponentiation
(y)
and
roots
are
performed
as
soon
as
the
single
-variable
functions
are
completed.
3)
Multiplication
and
division
are
performed
as
soon
as
the
special
functions.
exponentiation,
root
extraction
and
other
multiplication
and
division
are
completed.
4)
Addition
and
subtraction
are
performed
only
after
all
operations
through
multiplication
and
division
as
well
as
other
addition
and
subtraction
are
completed.
5)
Equals
completes
all
operations.
18