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Order of Operations

(P.E.M.D.A.S). Order of Operations. P.E.M.D.A.S. “ ”= P arenthesis “()” “ ”= E xponent “2 2 ” “ ”= M ultiplication “6x8” “ ”= D ivision “9÷3” “ ”= A ddition “7+5” “ ”= S ubtraction “10-4” .

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Order of Operations

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  1. (P.E.M.D.A.S) Order of Operations

  2. P.E.M.D.A.S. • “ ”= Parenthesis “()” • “”= Exponent “22” • “”= Multiplication “6x8” • “ ”= Division “9÷3” • “”= Addition “7+5” • “”= Subtraction “10-4”

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

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

  5. 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 expression using exponents is: 5 x 2 Choose the proper way to simplify the expression: A.2 = 4 4x5 = 20 B. 5 x 2 = 10 10 = 100 Answer: xponents “22” 2 2 3 2

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

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

  8. It is tempting to want to solve addition first in an expression. Remember: only solve addition first if it is in parenthesis. An example of an expression with addition in it is: Choose the proper way to simplify the equation (113 + 19) + 81 A. 113 + 19 = 132 132 + 81 = 213 B. 19 + 81 = 100 100 + 113 = 213 Answer: A or B ddition “+”

  9. 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 expression with subtraction in it is: 74 – (12 - 4) The proper way to simplify this expression is: A. 74 – 12 = 62 62 – 4 = 58 B. 12 – 4 = 8 74 – 8 = 66 Answer: ubtraction ”-”

  10. Review The Order of Operations is: P.E.M.D.A.S. arenthesis xponents ultiplication ivision ddition ubtraction

  11. Practice 6x4÷2+3 • 24÷2+3 • 12+3 Answer: 15

  12. 15÷(6x2-9) 15÷(12-9) 15÷(3) Answer: 5 Practice

  13. Practice (32+5)÷7 • (9+5)÷7 • 14÷7 Answer: 2

  14. 7+(6x52+3) 7+(6x25+3) 7+(150+3) 7+(153) Answer: 160 Practice

  15. Practice • (18+2)÷5 • 20÷5 Answer: 4 (3x6+2)÷5

  16. Tips to Remember: An easy way to remember PEMDAS is: leasexcuse y ear unt ally

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