Order of Operations What to do first?????

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Order of Operations What to do first?????

• Presentation 2

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Instructions for Tutorial

• View the slide show and answer the questions as
  you go.
• Many slides will change as you continue to click
  while viewing them so it is important that you
  not skip around the slides.
• When you are ready for the next piece of
  information, left click your mouse or type
  enter on the keyboard.

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What are operations?

• In mathematics, there are several operations.
  You are very familiar with the four basic ones
• Adding
• Subtracting
• Multiplying
• Dividing

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In an expression where there is more than one
operation, the value of an expression will depend
upon the order in which you perform these
operations.

• There are several rules which we all agree to
  follow so that we will all reach the same answer
  for a problem.
• In this presentation, we will consider
  multiplication, division and grouping symbols and
  summarize the rules at the end.

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Addition and Subtraction

• Remember,
• First we always perform operations within
  grouping symbols
• Second expressions involving exponents need to
  be simplified before using them in calculations
• Then when the problem involves ONLY addition
  and subtraction, you perform those operations as
  you come to them, reading from left to right.

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Work these examples on your paper
Remember, grouping symbols then addition OR
subtraction as you come to it from left to right.
9 4 13
21 3 6 18 6 24
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Consider
There are 3 operations here. Can you identify
them? They are subtraction 12 3(4)
multiplication 3 (4) addition 3(4) 1
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Multiplication and Division
We no longer have only addition and subtraction.
We must do any multiplication or division BEFORE
we do addition or subtraction.
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Try these. When you are finished, click on your
answer choice.
18 6 12
3 9
Remember, First grouping symbols and exponents
as needed Second multiplication OR division as
you come to it from left to right Last
addition OR subtraction as you come to it from
left to right.
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OOPS!

• Do multiplication or division as you come to it
  reading from left to right.
• THEN go back and do any addition or subtraction
  as you come to it reading from left to right.

Click here to try again
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Try these. When you are finished, click on your
answer choice.
18 6 12
3 9
Remember, First grouping symbols and exponents
as needed Second multiplication OR division as
you come to it from left to right Last
addition OR subtraction as you come to it from
left to right.
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When problems involve multiplication and
division, we perform the first of either that we
reach as we move from left to rightjust like
reading a book.Apply this rule by evaluating
this expression. Click on your answer choice.

• 7 63

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OOPS!!

• You did the multiplication first. Remember, we
  do multiplication OR division as we come to it
  from left to right. Here you reach the division
  first, so you do it first.
• Yes, please excuse my dear aunt sally says my
  dear or multiplication division. However,
  multiplication and division are same level
  operations. And Aunt Sally does not want us to
  do all the multiplication and then all the
  division (really, she doesnt).
• Note you should remember that dividing by a
  fraction is accomplished by multiplying by the
  reciprocal.

Try Again!
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Try again!
Did you get 63 this time?
Great!
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When problems involve multiplication and
division, we perform the first of either that we
reach as we move from left to rightjust like
reading a book.Apply this rule by evaluating
this expression.

• What is your answer?
• You should get 28,

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Work these examples on your paper
4(4) 16
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Nice work!

• You performed the subtraction first since you
  encountered it first as you moved from left to
  right.

Click here to go back to the show!
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CONGRATULATIONS!

• Heres what we have learned
• When a problem involves more than one operation,
  we use this order to simplify expressions
• First, grouping symbols and you must always
  simplify expressions with exponents before you
  can calculate with them.
• Next, multiplication OR division as you come to
  it reading from left to right.
• Last, addition OR subtraction
• as you come to it from left to right

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Test Yourself

• Remember the order
• 1) Multiplication or division from left to right
• 2) Addition or subtraction in order from left to
  right

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39
4
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Need to try again? Study these examples first.
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Practice Problems
Remember the order 1) Multiplication or division
from left to right 2) Addition or subtraction in
order from left to right
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Solutions
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REMEMBER

• When a problem involves more than one operation,
  we use this order to simplify expressions
• First, grouping symbols and you must always
  simplify expressions with exponents before you
  can calculate with them.
• Next, multiplication OR division as you come to
  it reading from left to right.
• Last, addition OR subtraction
• as you come to it from left to right

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How to remember????

• The order is usually stated as follows
• Parentheses (Grouping Symbols)
• Exponents
• Multiplication OR Division
• Addition OR Subtraction
• There are two popular mnemonic devices to help
  you remember the order. Choose the one that works
  for you!
• PEMDAS
• Please Excuse My Dear Aunt Sally

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Aunt Sally Straightened Out

• Please (P stands for parentheses and other
  grouping symbols)
• Excuse (E stands for exponents)
• My Dear (M and D for multiplication and division
  as you reach them reading from left to right)
• Aunt Sally (A and S for addition and subtraction
  as you reach them reading from left to right)