ORDER OF OPERATIONS

1
ORDER OF OPERATIONS
SPI 6.3.2 Use order of operations and parentheses
to simplify expressions and solve problems.
2
The order of operations tells which operation to
perform first in a numerical expression.
X²
()
3
A numerical expression is a combination of
numbers and operations.
4

• ALWAYS REMEMBER TO
• PLEASE
• EXCUSE
• MY DEAR
• AUNT SALLY

5
ALWAYS follow this order

• Parentheses
• Exponent
• Multiply or Divide (from left to right)
• Add or Subtract (from left to right)

6
Lets practice. What is the order?

• ()
• X²
• x or
• or -

7
KEY CONCEPTS

• Do every expression within the parentheses (in
  order).
• Find the value of all powers.
• Multiply or divide in order from left to right.
• Add or subtract in order from left to right.

8
Now, lets look at a problem two different
waysThis will prove why order IS important.

• 5 3 x 2
• 8 x 2 16
• This is NOT correct. The correct order of
  operations has not been followed. Lets do this
  problem correct!

• Now, lets follow the correct order of
  operations.
• 5 3 x 2
• 5 6 11
• Multiplication comes before addition!
• THIS IS CORRECT!

9
Now, lets sing a little song sung to the tune of
Deck the Halls
10
Sung to the tune of Deck the Halls Please
excuse my dear Aunt Sally This is the order of
operations Parentheses Then the exponent This is
the order that it goes Multiply or Divide Do
this in order from left to right Then you add or
subtract Do this also from left to right. Please
excuse my dear Aunt Sally This is the order in
which it goes.
11
Lets practice.
(11-7) x 3 - 5
Answer 7
Note to teacher You can work the following
problems on the board, Elmo, whiteboards, etc.
Students can even work it out on the TV screen
with a dry erase marker)
12
6 x 8 4 2
Hint Multiply, then divide, next, add.
Answer 50
13
Heres a challenge!

• 96 4² (25 x 2) - 15 - 3

• Hints
• Solve the parentheses
• Dont forget the exponent
• Next divide
• Then add
• If you have two of the same operation
  (subtraction) do those from left to right

Answer 38
14
Heres one more without hints.

• 27 (3 6) x 5 - 12

Answer 3
15
The most important thing to remember is

• order

• order

ORDER