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Order of Operations

(P.E.M.D.A.S F.L.T.R.). Order of Operations. When you see the symbol on the bottom of the slide, copy the slide in your notebooks!!!. P.E.M.D.A.S. “ ”= P arenthesis “()” “ ”= E xponent “2 2 ” “ ”= M ultiplication “6x8” “ ”= D ivision “9÷3”

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Order of Operations

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  1. (P.E.M.D.A.S F.L.T.R.) Order of Operations

  2. When you see the symbol on the bottom of the slide, copy the slide in your notebooks!!!

  3. P.E.M.D.A.S. • “ ”= Parenthesis “()” • “”= Exponent “22” • “”= Multiplication “6x8” • “ ”= Division “9÷3” • “”= Addition “7+5” • “”= Subtraction “10-4” • FLTR- Multiply, Divide, Add, Subtract from Left to Right

  4. P.E.M.D.A.S.F.L.T.R is also know as the Order of Operations. Order of Operations is the order in which you perform mathematical operations to solve an equation. We need P.E.M.D.A.S.F.L.T.R because it helps us solve equations properly and always the same way. Remember: Calculate an equation in the wrong order and you will get the wrong answer. What is P.E.M.D.A.S.F.L.T.R and why do we need it?

  5. Although, we are very familiar with Please, Excuse, My, Dear, Aunt, Sally, We sometimes forget that you multiply and divide from left to right and you add and subtract from left to right. What does this mean? I always solve the expressions inside the grouping symbols and evaluated the powers first, but if all that I have is multiplication and division or addition and subtraction. I solve my problem from left to right. Example: 11 – 8 + 2 3 + 2 = 5 What is P.E.M.D.A.S.F.L.T.R and why do we need it?

  6. arenthesis “( )” • Used to group equations. • Parenthesis can also be shown as brackets. ”[ ] or { }”. • An example of an equation with parenthesis is: 6 (5+3) • Choose the proper way to solve the equation: • A. 6x5 =30 30 + 3 = 33 • B. 5+3 =8 8 x 6 = 48 Answer:

  7. xponents “22” 2 • Used to multiply the same number repeatedly. • Exponent tells how many times a base number is multiplied to itself. • 5 = 5x5x5 =125 • An example of an equation using exponents is: 5 x 2 Choose the proper way to solve the equation: • A.2 = 4 4x5 = 20 • B. 5 x 2 = 10 10 = 100 Answer: 2 3 2

  8. ultiplication “x” • Use the table on the right to help you. • Multiplication is just a faster way to add. • Choose the proper way to solve the equation: • 2 + 5 x 3 • A.5 x 3 = 15 15 + 2 = 17 • B.2 + 5= 7 7 x 3 = 21 Answer:

  9. ivision “÷” • Division is splitting a larger number into smaller parts. • Remember to check your division with multiplication. • An example of an equation with division in it is: Choose the correct way to solve the equation: 12 4 + 2 • A.4 + 2 = 6 12 6 = 2 • B. 12 4 = 3 3 + 2 = 5 Answer:

  10. ddition “+” • It is tempting to want to always solve addition first in an equation. • Remember: Solve addition first if it is in parenthesis or when solving from left to right • An example of an equation with addition in it is: Choose the proper way to solve the equation (113 + 19) + 81 =? A. 113 + 19 = 132 132 + 81 = 213 B. 19 + 81 = 100 100 + 113 = 213 Answer:

  11. ubtraction ”-” • Subtraction is when you take away an equal or smaller amount from a number. • You can check your subtraction with addition. • An example of an equation with subtraction in it is: 74 – (12 - 4) The proper way to solve this equation is: A. 74 – 12 = 62 62 – 4 = 58 B. 12 – 4 = 8 74 – 8 = 66 Answer:

  12. Review The Order of Operations is: P.E.M.D.A.S.F.L.T.R arenthesis xponents ultiplication ivision ddition ubtraction FLTR

  13. Practice 6x4÷2+3=? • 24÷2+3 • 12+3 Answer:

  14. Practice 15÷(6x2-9)=? • 15÷(12-9) • 15÷(3) Answer:

  15. Practice (32+5)÷7=? • (9+5)÷7 • 14÷7 Answer:

  16. Practice 7+(6x52+3)=? • 7+(6x25+3) • 7+(150+3) • 7+(153) Answer:

  17. Practice 24 – 8 x 2 + 9 =? • 24 – 16 + 9 • 8 + 9 Don’t forget FLTR Answer:

  18. Although, we are very familiar with Please, Excuse, My, Dear, Aunt, Sally, We sometimes forget that you multiply and divide from left to right and you add and subtract from left to right. What does this mean? I always solve the expressions inside the grouping symbols and evaluated the powers first, but if all that I have is multiplication and division or addition and subtraction. I solve my problem from left to right. Example: 24 – 16 + 9 8 + 9 = 17 What is P.E.M.D.A.S.F.L.T.R and why do we need it?

  19. Independent Practice Study Island 6th Grade Math Select: Order of Operations in TEST MODE, keep working in test mode until the time is up!!!!!

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