Transcript ORDER OF OPERATIONS In Algebra County PEMDAS Anything in a parenthesis must be figured out first.

ORDER OF
OPERATIONS
In
Algebra County
PEMDAS
Anything in a parenthesis
must be figured out first.
PEMDAS
Exponents are next, like
2
3.
PEMDAS
6  3(5)
Divide first.
Then we multiply and divide; but
if both are hooked together,
we go in order from left to right.
PEMDAS
We really don’t “subtract,”
so the last step is adding.
PEMDAS
my
Please
dear
excuse
Aunt
Sally
Here is an example:
3  (2  3)(2)
3(4  2)
2
The long fraction line is a
Parentheses
parenthesis.
first. We must do everything
on the top and everything on the
bottom before we can divide.
3  (2  3)(2)

3(4

2)
Also. . .
2
3  (5)(2)
3(2)
2
2
3  (5)(2)
3(2)
Expnents
next.
3  (5)(4)
3(2)
3  (5)(4)
3(2)
3  (20)
Nextis6multiply
or divide.
3  (20)
6
Adding is next.
23
6
23
23

6
6
Now, since we have finished everything
on the top and the bottom, we can try to
divide, but we do not have to change it
from an improper fraction. However, we
do need to divide the two negatives.
Push 8
and then
“Enter”
Watch it again
and
copy down the steps
on the Worksheet
that goes with
this PowerPoint lesson.
Here is a second example:
5  2 6  (3  1)4
There are two kinds of
Parentheses
parentheses: brackets [ ], and
first.
5  2 (6). Do(2
)4ones
 on
parentheses
the
the inside first.
multiply
5  2 6  (2)4
Then do what is necessary
on the inside of the brackets.
5  2 6  8
add
5  2 6  8
Now do what is
inside the5brackets.
 2 14
 
Next is multiply.
5  2 14
There are no exponents.
5  28  33
Type 14
and then
“Enter”
Watch it again
and
copy down the steps
on the Worksheet
that goes with
this PowerPoint lesson.
Here is a third example:
7  2{3  5[2  4(3  5)]  2}
7  2{3  5[2  4(3  5)]  2}
There is another kind of
parentheses:
the
braces
{
}.
7

2{3

5[

2

4
(

2)
]

2}
Parentheses
We first.
already had brackets [ ] and
parentheses ( ). Do the ones on
the inside first.
7  2{3  5[2  4(2)]  2}
multiply
7  2{3  5[2  8]  2}
add
7  2{3  5[6]  2}
7  2{3  5[6]  2}
multiply
7  2{3  30  2}
add
7  2{31}
7  2{31}
multiply
7  62
55
add
Type 19
and then
“Enter”
Watch it again
and
copy down the steps
on the Worksheet
that goes with
this PowerPoint lesson.
Here is a fourth example:
2
3  [(2)  (3)(1  5) ]
2
3  [(2)  (3)(1  5) ]
Parentheses
2
3first.
 [(2)  (3)(4) ]
2
3  [(2)  (3)(4) ]
3  [1(Inside
2) the
(brackets,
3)(16)]
exponents are first.
multiply
multiply
3  [2  (48)]
3  [2  (48)]
3 1[46]
add
3  46
multiply
3  46
add
43
Type 24
and then
“Enter”
Watch it again
and
copy down the steps
on the Worksheet
that goes with
this PowerPoint lesson.
The
End