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Order of Operations - PowerPoint PPT Presentation


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Order of Operations. What’s Wrong?. Look at both of the problems. Notice the difference in the way they are solved. What’s Wrong. The only difference in the way these problems were done is the order the operations were performed. The one on the left is correct. .

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Presentation Transcript
what s wrong
What’s Wrong?
  • Look at both of the problems.
  • Notice the difference in the way they are solved.
what s wrong3
What’s Wrong
  • The only difference in the way these problems were done is the order the operations were performed.
  • The one on the left is correct.
multiplication and division
Multiplication and Division
  • Multiplication and division are always done left to right.
  • Remember multiplication is commutative and associative, but division is not.
  • You can do problems that only contain multiplication in any order, but if division is in the problem, then the order is important.
examples
Examples:

Pause the player

Try these three problems on paper

Write out all steps

Start the player to see the correct answers.

addition and subtraction
Addition and Subtraction
  • Addition and subtraction work the same way.
  • Subtraction isn’t commutative.
  • Remember to think “add the opposite” when subtracting, but do it left to right.
example
Example:

Try this on paper with the player paused.

Then play to see the result

md before as
MD before AS
  • Multiplication and division are always done before addition and subtraction.
  • Write each step out completely under the previous step.
  • 3(5)+122 - 2(7)
  • 15+122 - 2(7)
  • 15+ 6 - 2(7)
  • 15+ 6 - 14
  • 21 - 14
  • 7
try these
Try these.
  • Pause the player
  • Work these on paper, then play to see the answers.
md before as12
MD before AS
  • Multiplication before subtraction.
  • Note: Write the new problem after multiplying.
mistakes
Mistakes
  • There is a mistake in each of the following problems.
  • Discover what was done incorrectly.
  • -20 is correct.
  • 2 ¼ is correct.
  • 17 is correct.
e before md before as
E before MD before AS
  • Exponents are done before multiplication and division.
  • Note in the examples, the exponents are done and the rest of the problem is written down.
  • If you scratch to the side and skip writing all steps, you will make mistakes.
  • A root is an exponent and also done before multiplication, division, addition or subtraction.
e before md before as15
E before MD before AS
  • Pause the player.
  • Try these problems on paper, then play to see the answers.
p then e then md then as
P then E then MD then AS
  • The first thing always done is parenthesis or other grouping symbols.
  • If there are nested grouping symbols, work from the inside out.
p then e then md then as18
P then E then MD then AS
  • Work the inside parenthesis first.
  • The next set of parenthesis has two operations inside.
  • Always do multiplication before addition.
  • Finish the inside of the second parenthesis.
  • Multiply before adding.
more parenthesis
More parenthesis
  • Absolute value, division bar and root symbols also act like parenthesis.
please excuse my dear aunt sally
Please Excuse My Dear Aunt Sally.
  • To remember the order of operations use the mnemonic devise Please excuse my dear Aunt Sally.
  • The symbol  means + and minus. Both answers are used.

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