Warm Up Tuesday 11/9/10 We will graph linear equations using intercepts. Simplify each expression:
Order of Operations By Mr. Walker. The Expression We need to simplify this expression down to one...
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Transcript of Order of Operations By Mr. Walker. The Expression We need to simplify this expression down to one...
Order of OperationsOrder of Operations
By Mr. WalkerBy Mr. Walker
The ExpressionThe ExpressionWe need to simplify this expression down to one number (find the answer).
But where do we start?
There is a certain order we need to follow when we simplify this expression, or we will get the wrong answer. This is called…
Order of Operations
It goes like this… Going left to right (like when reading)• Do anything in Parentheses• Start over and do any Exponents• Start over and do any Multiplication and Division• Start over and do any Addition and Subtraction
+(3x5)-2325
5
DefinitionsDefinitions
+(3x5)-2325
5Parentheses are…
Exponents are … Powers and Roots 2 16
In this problem 2 has a power of three, which means you should multiply 2 by itself three times: 2x2x2
Multiplication and Division are …
( )
X
is the same as saying 25 5255
Addition and Subtraction are… + -
3
How Do I Remember All This?How Do I Remember All This?
Easy… Please Excuse My Dear Aunt Sally
Parentheses
Exponents
Mu l t i p l i ca t on
Division
Addi t ion
Subtract ion
Dear Aunt Sally had a very bad day, so please excuse her.It all started when she burnt her tongue on her hot coffee.Then on the way to work her car died. While she was walking the rest of the way to work a car drove by and splattered her with mud. When she finally got to work her boss fired her for being late. Since she did not have a job anymore she started walking home and found a quarter on the sidewalk near a tree. ‘Great,’ she thought but soon found out that it was super-glued to the sidewalk. While she was looking down at the quarter a bee stung her and she stood up so fast that she forgot the tree branch right above her head. BONK! Just then a 7 year old boy bumped into her because he was reading a comic book as he walked.When he looked up to say ‘Excuse me,’ this is what he saw…
So … Please Excuse My Dear Aunt Sally
Step by Step ‘P’Step by Step ‘P’
+(3x5)-2325
5
Please Excuse My Dear Aunt Sally
Parentheses
(3x5) is 15, so put the 15 in the spot of the (3x5)
+15-2325
5
Step by Step ‘E’Step by Step ‘E’
Please Excuse My Dear Aunt Sally
Exponents
+15-2325
5
2 Is the same as 2x2x2
2x2=4 x2 again is 8
So replace the 2 with the 8
3
3
+15-8255
You most likely will not have to deal with this step in 4th grade.
Step by Step ‘M’ & ‘D’Step by Step ‘M’ & ‘D’
Please Excuse (My Dear) Aunt Sally
Mu l t i p l i ca t on
+15-8255
There is nothing to multiply so do the division.
Division
+15-8255
is the same as saying 25 5255
25 divided by 5 is 5.
So replace the with the 5255
5+15-8
Do any multiplication and division as you read left to right
Step by Step ‘A’ & ‘S’Step by Step ‘A’ & ‘S’
Please Excuse My Dear (Aunt Sally)
Addi t ion
5+15-8
Add the 5+15 to get 20
Take out the 5+15 and put the 20 in that spot
20-8
Subtract ion
Subtract the 8 from the 20 and get 12
20- 812
1 10
Take away the 20-8 and put the 12
borrow
Do any addition and subtraction as you read left to right
12 You are done!
Let’s Try One TogetherLet’s Try One TogetherRemember Please Excuse My Dear Aunt Sally
366
5+(3x4)-
Parentheses: (3x4) = 12
Exponents: None-Skip
Multiplication: None-Skip
Division: 36 divided by 6 = 6
Addition: 5+12=17
Subtraction: 17-6=11
366
5+12-
366
5+12-
366
5+12-
5+12-6
17-6
11
Simplify this expression
Try These On Your OwnTry These On Your Own
505
2+(4x9)-
Answer 28
4x(1+7)-24 3
Answer 24
567 +2x(3x9)-60
Answer 2
459
3 -20+( +5)-7
Answer 10
3
For Fun Make Up Your Own Aunt For Fun Make Up Your Own Aunt Sally StorySally Story
Please Excuse My Dear Aunt Sally because…