1. (Fundamental) Order of Operations The order- 1. P arenthesis 2. E xponents 3. M ultiply 4. D ivide 5. A dd 6. S ubtract

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

3. Example 3 + 2 2 x (4x3) ÷ 4 = ____ 3 + 2 2 x (4x3) ÷ 4 = ____ What do you do first? What do you do first? What do you do second? What do you do second? What do you do third? What do you do third? What do you do fourth? What do you do fourth?

4. 1. The 1 st thing to be done in any math problem is anything in grouping symbols. 1. The 1 st thing to be done in any math problem is anything in grouping symbols. -grouping symbols include the following: -grouping symbols include the following: 1. ( ) parenthesis 1. ( ) parenthesis 2. [ ] brackets 2. [ ] brackets 3. { } braces 3. { } braces

5. example 3 + 2 2 x (4x3) ÷ 4 = ____ example 3 + 2 2 x (4x3) ÷ 4 = ____ do (4x3) first = do (4x3) first = 12 12 left with 3 + 2 2 x 12 ÷ 4 = ____ left with 3 + 2 2 x 12 ÷ 4 = ____

6. Exponents 2. The 2 nd thing to be done in any math problem is Exponents 2. The 2 nd thing to be done in any math problem is Exponents Exponent 2 2 exponent Exponent 2 2 exponent base base said 2 to the 2 nd power ~ Exponential Form said 2 to the 2 nd power ~ Exponential Form

7. 2 2 2 2 2 2 means to multiply the base times itself the number of times given by the exponent 2 2 means to multiply the base times itself the number of times given by the exponent (2, 2s multiplied together) (2, 2s multiplied together) 2 2 = 2 x 2 = 4 2 2 = 2 x 2 = 4

8. Special Exponents 3 2 -> said 3 to the 2 nd power 3 2 -> said 3 to the 2 nd power or 3 squared or 3 squared 3 2 =3 x 3=9 3 2 =3 x 3=9 4 0= 1 4 0= 1 Any number to the power of 0 is always 1 Any number to the power of 0 is always 1

9. Multiply and Divide Go in order from left to right Go in order from left to right 3+4x12 ÷4= 3+4x12 ÷4= First do 4x12=48 First do 4x12=48 3+48 ÷4= 3+48 ÷4= Then you divide 48 ÷4=12 Then you divide 48 ÷4=12

10. Add and Subtract 3+12=15 3+12=15 Your answer is 15 Your answer is 15 Now that wasn’t so hard now was it! Now that wasn’t so hard now was it!

11. Examples Try This on Your Own Try This on Your Own (5 2 -6)+6x2 ÷4= (5 2 -6)+6x2 ÷4= (5 2 -6)= (5 2 -6)= 5 2 =5x5=25 5 2 =5x5=25 25-6=19 (always do everything in the parenthesis first) 25-6=19 (always do everything in the parenthesis first) 19+6x2 ÷4 19+6x2 ÷4 6x2=12 6x2=12 19+12 ÷4= 19+12 ÷4= 12 ÷4=3 12 ÷4=3 19+3=22 19+3=22 22 is your answer! 22 is your answer!

12. More Examples Okay, lets try this one! Okay, lets try this one! (15 ÷5)x9+2-(5+3 ÷2)= (15 ÷5)x9+2-(5+3 ÷2)= Looks a bit harder doesn’t it. Looks a bit harder doesn’t it. (15 ÷5)=3 and (5+3 ÷2)=4 (15 ÷5)=3 and (5+3 ÷2)=4 3x9+2-4 3x9+2-4 3x9=27 3x9=27 27+2-4 27+2-4 27+2=29 27+2=29 29-4=25 29-4=25 Your answer is 25! Your answer is 25!