(Fundamental) Order of Operations : (Fundamental) Order of Operations The order-
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
A way to Remember : A way to Remember Please……………Parenthesis
Excuse…………..Exponents
My………………..Multiply
Dear……………..Divide
Aunt……………..Add
Sally……………..Subtract
PEMDAS
Example : Example 3 + 22 x (4x3) ÷ 4 = ____
What do you do first?
What do you do second?
What do you do third?
What do you do fourth?
Slide 4 : 1. The 1st thing to be done in any math problem is anything in grouping symbols.
-grouping symbols include the following:
1. ( ) parenthesis
2. [ ] brackets
3. { } braces
example 3 + 22 x (4x3) ÷ 4 = ____ : example 3 + 22 x (4x3) ÷ 4 = ____ do (4x3) first =
12
left with 3 + 22 x 12 ÷ 4 = ____
Exponents : Exponents 2. The 2nd thing to be done in any math problem is Exponents
Exponent 22 exponent
base
said 2 to the 2nd power ~ Exponential Form
22 : 22 22 means to multiply the base times itself the number of times given by the exponent
(2, 2s multiplied together)
22 = 2 x 2 = 4
Special Exponents : Special Exponents 32 -> said 3 to the 2nd power
or 3 squared
32=3x3=9
40=1
Any number to the power of 0 is always 1
Multiply and Divide : Multiply and Divide Go in order from left to right
3+4x12 ÷4=
First do 4x12=48
3+48 ÷4=
Then you divide 48 ÷4=12
Add and Subtract : Add and Subtract 3+12=15
Your answer is 15
Now that wasn’t so hard now was it!
Examples : Examples Try This on Your Own
(52-6)+6x2 ÷4=
(52-6)=
52=5x5=25
25-6=19 (always do everything in the parenthesis first)
19+6x2 ÷4
6x2=12
19+12 ÷4=
12 ÷4=3
19+3=22
22 is your answer!
More Examples : More Examples Okay, lets try this one!
(15 ÷5)x9+2-(5+3 ÷2)=
Looks a bit harder doesn’t it.
(15 ÷5)=3 and (5+3 ÷2)=4
3x9+2-4
3x9=27
27+2-4
27+2=29
29-4=25
Your answer is 25!