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3.3 Order of Operations
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December 12, 2013
Order of Operations with (Super?)Powers
3.3 Order of Operations
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December 12, 2013
ubtraction
ddition
ultiplication
ivision
xponents
rackets
BEDMAS helps us remember what operations are done first!
B E D M A S
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Why do they even have skill testing questions?
Canadian anti-gambling law makes it illegal to sell chances to win a prize, so promoters always offer a free method of entering each contest, and task every winner with a skill-testing question. By doing this, they argue, the game is no longer one merely of chance but a contest requiring some skill.
FYI!!
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Skill Testing Question:2 + 3(4)
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Example 2: Evaluate
(2 + 32) - 4
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Brackets within BracketsWhenever you have a question with two or more sets of brackets, you must work from the “inside out.”
Example: Evaluate
[3 ∙ (2 + 3 ∙ 4)]
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Example 3: Evaluate
53 - (2 + 6 ∙ 3) - 42
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Example 2: Evaluate
[(6 - 22) - (43 - 5 ∙ 4)]
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Try a few on your own: (No calculators)
Evaluate:
a) (32 - 6 ∙ 4) /5
b) 16 + (12 + 52) - 43
c. [4 ∙ (23 - 5)]
d) [6 + (24 - 42) + 90]
e) [4 + (3 - 23) - (53 - 52)]
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Using Technology
Look for the bracket keys ( )!! If the questions has a bracket, INCLUDE THEM!
The exponent keys on scientific calculators are usually yx or xy.
Graphing calculators use the ^ key to indicate an exponent.
Calculators are all designed slightly different from each other. You will need to experiment with your calculator to learn how it works.
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Calculator Exercises :
a) Type in 2(3)
Some calculators display the bracket symbol when it is pressed, and some do not.
Does the answer show 6?
If not, you will have to remember to use the multiplication key : 2 ∙ 3
b) Type in 2((24 - 6)/9)
Does the answer show 4?
c) Type in : 2 + 3 ∙ 4
Does the answer show 14?
If yes, then your calculator automatically performs the order of operations.
<-- erase for answer
<-- erase for answer
<-- erase for answer
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Double Brackets and Technology
Using a calculator to perform calculations involving two or more brackets is not difficult. You just have to be very careful with how many brackets you use, and where they are placed.
Some calculators do not have the square brackets [ ], so you will use the round brackets ( ) instead.
For example, if the question reads [(5-2) - 4 (2+3)] and you only have round brackets on your calculator, this is how you would enter the data:
((5-2) - 4 (2 + 3))
Note that the number of brackets which open must equal the number of brackets that close.
Enter the above question, carefully using the brackets. If everything is entered properly, your display should show an answer of -17.
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Use technology to evaluate each expression:
a) [(62 + 43) / 52]
b) [34 - (53 + 42)]
c) [83 - (62 - 43) + (53 + 35)]
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Identify the Error
A classmate had this work marked wrong, and he couldn't see his error. Identify the error, and correct it:
[4 ∙ (23 - 5)]
= [4 ∙ (8 - 5)]
= [32 - 5]
= 27
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1.) Evaluate : 23 + 34
More Examples! :D
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2. ) Evaluate : 43 - (-2)4
More Examples! :D
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3.) Evaluate : 27 - (-3)3
More Examples! :D
