Order of Operations P.E.M.D.A.S

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

ORDER OF OPERATIONS How to do a math problem with more than one operation in the correct order.

What is P.E.M.D.A.S. and why do we need it? 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 equation. We need P.E.M.D.A.S. 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.

arenthesis “( )” 6 (5+3) 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:

Choose the proper way to solve the equation: xponents “22” 2 5 x 2 Choose the proper way to solve the equation: A. 2 = 4 4x5 = 20 B. 5 x 2 = 10 10 = 100 Answer: 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: 2 3 2

(2 + 3) 82 The “P” and “E” The “P” stands for items in parenthesis Do all items in the parenthesis first (2 + 3) The “E” stands for Exponents Do anything that has a exponent (power) 82

ultiplication “x” 2 x 5 + 3 A. 5 x 3 = 15 15 + 2 = 17 B. 2 x 5 = 10 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 x 5 + 3 A. 5 x 3 = 15 15 + 2 = 17 B. 2 x 5 = 10 10+ 3 = 13 Answer:

Choose the correct way to solve the equation: ivision “÷” 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: 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:

The “MD” Represents Multiply and Divide Do which ever one of these comes first in the problem Work these two operations from left to right

Choose the proper way to solve the equation ddition “+” It is tempting to want to solve addition first in an equation. Remember: only solve addition first if it is in parenthesis. An example of an equation with addition in it is: Choose the proper way to solve the equation (113 + 19.5) + 81 =? A. 113 + 19.5 = 132.5 132.5 + 81 = 213.5 B. 19.5 + 81 = 100.5 100.5 + 113 = 213.5 Answer:

The proper way to solve this equation is: ubtraction ”-” 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: 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:

The “Add & Subtract” 8 + 7 - 5 + 2 Represents Add and Subtract Do which ever one of these comes first Work left to right 8 + 7 - 5 + 2

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

Practice 1. 6.4x4÷2+3=? 25.6÷2+3 12.8+3 Answer:

Practice 2. 15÷(6x2-9)=? 15÷(12-9) 15÷(3) Answer:

Practice 3. (32+5)÷7=? (9+5)÷7 14÷7 Answer:

Practice 4. 7+(6x52+3)=? 7+(6x25+3) 7+(150+3) 7+(153) Answer:

Practice (18+2)÷5 20÷5 Answer: 5. (3x6+2)÷5=?

More Practice!! 7) 8 – 3 • 2 + 7 8 - 6 + 7 2 + 7 9 39 ÷ 13 3 6) 5 + (12 – 3) 5 + 9 14 7) 8 – 3 • 2 + 7 8 - 6 + 7 2 + 7 9 8) 39 ÷ (9 + 4) 39 ÷ 13 3

10) 15.2 • 103 15.2 • 1,000 15,200 9) 10 + 8 ÷ 2 – 6 10 + 4 - 6 14 - 6 8 11) 36 ÷ (1 + 2)2 36 ÷ 32 36 ÷ 9 4 12) 3 • 104 3 • 10,000 30,000

14) 14 + 3(7 -2) – 2 • 5 14 + 3 • 5 - 2 • 5 14 + 15 - 2 • 5 14 + 15 – 10 29 – 10 19 13) (5 – 1)3 ÷ 4 43 ÷ 4 64 ÷ 4 16

Tips to Remember: An easy way to remember PEMDASFLTR is: lease xcuse ear unt ally From Leaving the Room