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

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**P.E.M.D.A.S. “ ”= Parenthesis “()” “ ”= Exponent “22”**

“ ”= Multiplication “6x8” “ ”= Division “9÷3” “ ”= Addition “7+5” “ ”= Subtraction “10-4”

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**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 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.

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**arenthesis “( )” 6 (5+3) 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 = 33 B. 5+3 =8 8 x 6 = 48 Answer:

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**Choose the proper way to simplify the expression:**

xponents “22” 2 5 x 2 Choose the proper way to simplify the expression: 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 expression using exponents is: 2 3 2

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**ultiplication “x” 2 + 5 x 3 A. 5 x 3 = 15 15 + 2 = 17 B. 2 + 5 = 7**

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 = 17 B = 7 7 x 3 = 21 Answer:

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**Choose the correct way to simplify the expression:**

ivision “÷” Choose the correct way to simplify the expression: A = 6 = 2 B = 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 expression with division in it is:

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**Choose the proper way to simplify the equation**

ddition “+” 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 ( ) + 81 A = 132 = 213 B = 100 = 213 Answer: A or B

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**The proper way to simplify this expression is:**

ubtraction ”-” 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: 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:

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**The Order of Operations is:**

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

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

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

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

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

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

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**Tips to Remember: An easy way to remember PEMDAS is: lease xcuse ally**

ear unt ally

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