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OBJECTIVES The students will perform the order of operations on integers by following GEMDAS rule.

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24- GAME 3, 8, 10, 4 1,1,5,6 2,2,6,11 1,2,2,4 2,3,4,8

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VOCABULARY order of operations *operation Expression grouping symbols Brackets *Braces *parenthesis Exponents *simplify

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

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**G.E.M.D.A.S. G “ ”= Grouping Symbols ( ), [ ] “ ”= Exponent “22”**

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

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**What is G.E.M.D.A.S and why do we need it?**

G.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.

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**STEPS 1st: Do what is inside of grouping symbol ( ) or [ ].**

2nd: Simplify Exponents. 3rd: Multiply or divide from left to right. 4th: Add or subtract from left to right.

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**GROUPING SYMBOLS “( )” , ”[ ] or { }”**

Used to group equations. Parenthesis ( ) Brackets [ ] or Braces{ } 6[100 - (5+3)] 6[100 - (8)] 6 [92] Answer: 552

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**Choose the proper way to solve the equation:**

xponents “22” 2 5 x 2 Choose the proper way to solve the equation: 2 = 4 4x5 = 20 Used to multiply the same number repeatedly. Exponent tells how many times a base number is multiplied to itself. 53 = 5x5x5 =125 2

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**ultiplication “x” 2 + 5 x 3 5 x 3 = 15 15 + 2 = 17 Answer: 17**

Multiplication is just a faster way to add. Choose the proper way to solve the equation: 2 + 5 x 3 5 x 3 = 15 = 17 Answer: 17

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ivision “÷” = 3 3 + 2 = 5 Answer: 5 Division is splitting a larger number into smaller parts. Remember to check your division with multiplication.

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ddition “+” ( ) + 81 =? = 132 = 213 It is tempting to want to solve addition first in an equation. Remember: only solve addition first if it is in parenthesis.

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**ubtraction ”-” 74 – (12 - 4) 12 – 4 = 8 74 – 8 = 66 Answer: 66**

Subtraction is when you take away an equal or smaller amount from a number. You can check your subtraction with addition.

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**The Order of Operations is:**

Review G The Order of Operations is: G.E.M.D.A.S. rouping symbols xponents ultiplication ivision ddition ubtraction

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Practice 6(4÷2)+3=? 6÷2+3 3+3 Answer:

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

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Practice 15÷(6x2-9)2=? 45 ÷ (12-9)2 45 ÷ (3)2 45 ÷ 9 Answer:

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Practice -40-(32+5)÷7=? Answer:

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Practice (3x6+2)3÷5=? Answer:

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**Tips to Remember: An easy way to remember PEMDAS is: G ranny xcuse**

ear unt ally G

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**Evaluate the following:**

– 32 = 289 – (3 x 5)2 = (-5+4) ÷ (4 -7)2 = (36-6) -12+ (-3) = (-2 x -5) x 54 ÷ 5 =

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