Transcript symbols of inclusion

What is PEMDAS?
In order to make sure every
person gets the same answer to a
math problem, mathematicians
came up with a rule called the
order of operations
Parenthesis ( ) [ ]
Exponents 23 Whichever comes
Multiplication X
first
from
left
to
right!
Division ÷
Addition +
Whichever comes
Subtraction first from left to right!
Order of Operations
1) Work inside grouping symbols.
2) Multiply and divide from left to right.
3) Add and subtract in order from left to
right.
Example
Simplify 10 ÷ [9 – (2 . 2)].
PEMDAS
10 ÷ [9 – (2 . 2)] Multiply in parenthesis.
10 ÷ [9 – 4]
10 ÷ 5
2
Subtract in brackets.
Divide.
Simplify expression by beginning with the
innermost symbol of inclusion & work your
way out.
4{2[(-3 – 2)(-7 + 4) – 5]} – 2
4{2[(-5)(-3) – 5]} – 2
Simplified within
parentheses
4{2[10]} – 2
Simplified within brackets
4{20} – 2
Simplified within braces
80 – 2
Multiplied 4 x 20
78
Added
212  3  4  6
212  7  6
when there are " nested" symbols,
do the innermost ones first
within the remaining grouping symbols,
do addition Or subtractio n as you come
25  6
211
to it from left to right
a number next to a grouping symbol
indicates multiplica tion
22
Remember, grouping symbols
then addition OR subtraction as
Absolute value symbols are also grouping
symbols as are fractions bars (which
indicate division).
Try these:
Remember,
12  3   3  2  8
4  (3  5)  2
22  8  7
grouping
symbols then
addition OR
subtraction as
you come to it
from left to
right.
12  3   3  2  8
12  3  (6  8)
12  3  14
15  14
1
4  (3  5)  2
Did you notice
2
2 87
that we have to
482
487
12  2
12  7
10
2
5
replace 22 with
4 before
calculating the
denominator?
9) 2[ (13 – 4) ÷ 3]
10 - 2
10) 1 +
4