(Fundamental) Order of Operations

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Presentation transcript:

(Fundamental) Order of Operations The order- Parenthesis Exponents Multiply Divide Add Subtract

A way to Remember Please……………Parenthesis Excuse…………..Exponents My………………..Multiply Dear……………..Divide Aunt……………..Add Sally……………..Subtract PEMDAS

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?

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 = ____ do (4x3) first = 12 left with 3 + 22 x 12 ÷ 4 = ____

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 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 32 -> said 3 to the 2nd power or 3 squared 40=1 Any number to the power of 0 is always 1

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 3+12=15 Your answer is 15 Now that wasn’t so hard now was it!

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!

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!