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(Fundamental) Order of Operations
The order- Parenthesis Exponents Multiply Divide Add Subtract
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A way to Remember Please……………Parenthesis Excuse…………..Exponents
My………………..Multiply Dear……………..Divide Aunt……………..Add Sally……………..Subtract PEMDAS
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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?
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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
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example 3 + 22 x (4x3) ÷ 4 = ____ do (4x3) first = 12
left with x 12 ÷ 4 = ____
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Exponents 2. The 2nd thing to be done in any math problem is Exponents
Exponent exponent base said 2 to the 2nd power ~ Exponential Form
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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
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Special Exponents 32 -> said 3 to the 2nd power or 3 squared
40=1 Any number to the power of 0 is always 1
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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
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Add and Subtract 3+12=15 Your answer is 15
Now that wasn’t so hard now was it!
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Examples 19+6x2 ÷4 19+3=22 22 is your answer! (52-6)+6x2 ÷4= (52-6)=
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!
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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!
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