Texas Instruments TI-30XIIB Owners Manual - Page 22

Parentheses

Page 22 highlights

Parentheses There are sequences of operations for which you must instruct the calculator exactly how to evaluate the problem and produce the correct answer. For example: 4 x (5 + 9) > (7 - a)' 3. = ? To evaluate this expression as written using only the calculator hierarchy, many independent steps would be required. Also, intermediate results would have to be stored and the sequence certainly could not be input in the same order in which it is written. Parentheses should be used here and whenever a mathematical sequence cannot be directly entered using the previously mentioned algebraic rules or when there is doubt in your mind as to how the calculator is going to reduce an expression. Fri, To illustrate the benefit of parentheses. try the 1- following experiment: press 1 5 [4:19 and you will see the value 14 displayed. The calculator has evaluated 5 + 9 and replaced it with 14 even though F=D the key was not pressed. Because of this function of parentheses, the algebraic rules now apply their hierarchy of operations within each set of parentheses. Use of parentheses insures that your problem can be keyed in just as you have written it down. The calculator remembers each operation and evaluates each part of the expression as soon as all necessary information is available. When a closed parenthesis is encountered, all operations included within the parenthesis pair are completed. Parentheses have the additional capability of supplying a missing operand. as shown by the following example. Example: 4 - (4 + 2) - -2 Enter Press Display 4 r=1 4. 2 QQ 6. I=1 -2 If no value is entered after a ( the calculator uses the value in the display register. In the example a 4 was automatically inserted before the +. 20

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Parentheses
There
are
sequences
of
operations
for
which
you
must
instruct
the
calculator
exactly
how
to
evaluate
the
problem
and
produce
the
correct
answer.
For
example:
4
x
(5
+
9)
>
(7
-
a)'
3.
=
?
To
evaluate
this
expression
as
written
using
only
the
calculator
hierarchy,
many
independent
steps
would
be
required.
Also,
intermediate
results
would
have
to
be
stored
and
the
sequence
certainly
could
not
be
input
in
the
same
order
in
which
it
is
written.
Parentheses
should
be
used
here
and
whenever
a
mathematical
sequence
cannot
be
directly
entered
using
the
previously
mentioned
algebraic
rules
or
when
there
is
doubt
in
your
mind
as
to
how
the
calculator
is
going
to
reduce
an
expression.
To
illustrate
the
benefit
of
parentheses.
try
the
following
experiment:
press
1
-
1
5
[4:1
9
Fri,
and
you
will
see
the
value
14
displayed.
The
calculator
has
evaluated
5
+
9
and
replaced
it
with
14
even
though
the
F=D
key
was
not
pressed.
Because
of
this
function
of
parentheses,
the
algebraic
rules
now
apply
their
hierarchy
of
operations
within
each
set
of
parentheses.
Use
of
parentheses
insures
that
your
problem
can
be
keyed
in
just
as
you
have
written
it
down.
The
calculator
remembers
each
operation
and
evaluates
each
part
of
the
expression
as
soon
as
all
necessary
information
is
available.
When
a
closed
parenthesis
is
encountered,
all
operations
included
within
the
parenthesis
pair
are
completed.
Parentheses
have
the
additional
capability
of
supplying
a
missing
operand.
as
shown
by
the
following
example.
Example:
4
-
(4
+
2)
-
-2
Enter
Press
Display
4
r=1
4.
2
QQ
6.
-2
I=1
If
no
value
is
entered
after
a
(
the
calculator
uses
the
value
in
the
display
register.
In
the
example
a
4
was
automatically
inserted
before
the
+.
20