When
doing
mathematical
equations
there
is
a
rule
that
we
must
follow.
A
fancy
term
for
this
is
mathematical
hierarchy.
This
is
a
very
important
rule,
if
you
don't
follow
it
you
can
make
some
big
time
mistakes.
One
good
thing
about
math
rules
(unlike
English)
there
are
no
exceptions.
Most good calculators will follow the rule of mathematical hierarchy.
DO ALL MULTIPLICATION AND DIVISION IN THE ORDER GIVEN FIRST AND THEN DO
ADDITIONS AND SUBTRACTIONS IN THE ORDER GIVEN! DO EXPRESSIONS IN PARENTHESIS FIRST
WORKING FROM INSIDE OUT!
Also for every opening parenthesis you need a closing parenthesis.
EXAMPLE:
(2+3(4x5)+(12÷4)÷3+2) do inside parenthesis first.
4 x 5 = 20 and 12 ÷ 4 = 3
(2+3(20)+(3)÷3+2) Next multiply 3 x 20 = 60
And then divide 3 ÷ 3 = 1
(2+60+1+2) Looking simpler now!
65 is the answer.
Same Problem with
(2+3((4x5)+(12÷4))÷3+2) Work innermost brackets
an extra set of
first 4 x 5 and 12 ÷ 4
parenthesis
(2+3(20+3)÷3+2) Now we do another inner bracket 20 + 3
(2+3(23)÷3+2) Next do multiplication. 3 x 23
(2+69÷3+2)
Then divide 69 ÷ 3
(2+23+2)
27 See how the answer changes with one extra set
of brackets. It changes the priority of solving
the problem.
Multiplication next to a bracket can either read: 4 x (2+3) or
4(2+3)The sign can be left out.
A fraction is nothing more than a division problem. 1/2 = 1 ÷ 2 =
2 1 = .5 these are all the same number.
Break down the following problems:
((6 x 3)÷10)+2(4 ÷ 2)
(((5 x 3 + 5)(12 ÷ 4 - 3))+8 - 2)
1. _________________________
4. ___________________________
2. _________________________
5. ___________________________
6. ___________________________
3. Answer ______
7. Answer ______
Note: You can enter these formulas exactly how they appear, parenthesis
and all, with the calculator optionally purchased with this manual from
DVC Planners.
ORDER IN THE MATH
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