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- https://math.libretexts.org/Courses/Western_Technical_College/PrePALS_PreAlgebra/01%3A_Whole_Numbers/1.04%3A_Order_of_OperationsIn each case, the rule is “evaluate the expression inside the grouping symbols first.” If grouping symbols are nested, evaluate the expression in the innermost pair of grouping symbols first. \[ \begi...In each case, the rule is “evaluate the expression inside the grouping symbols first.” If grouping symbols are nested, evaluate the expression in the innermost pair of grouping symbols first. \[ \begin{aligned} 2 \cdot 3^2 - 12 = 2 \dot\ 9 - 12 & \textcolor{red}{ \text{ Evaluate the exponent: 3^2 = 9. }} \\ = 18 - 12 & \textcolor{red}{ \text{ Perform the multiplication: } 2 \cdot 9 = 18. } \\ = 6 & \textcolor{red}{ \text{ Perform the subtraction: } 18 - 12 = 6.} \end{aligned}\nonumber \]
- https://math.libretexts.org/Courses/Barton_Community_College/Book%3A_Technical_Mathematics_(Turner)/01%3A_The_Whole_Numbers/1.05%3A_Order_of_OperationsIn each case, the rule is “evaluate the expression inside the grouping symbols first.” If grouping symbols are nested, evaluate the expression in the innermost pair of grouping symbols first.
- https://math.libretexts.org/Bookshelves/PreAlgebra/Prealgebra_(Arnold)/01%3A_The_Whole_Numbers/1.05%3A_Order_of_OperationsIn each case, the rule is “evaluate the expression inside the grouping symbols first.” If grouping symbols are nested, evaluate the expression in the innermost pair of grouping symbols first.
- https://math.libretexts.org/Courses/Western_Technical_College/PrePALS_Math_with_Business_Apps/01%3A_Whole_Numbers/1.04%3A_Order_of_OperationsIn each case, the rule is “evaluate the expression inside the grouping symbols first.” If grouping symbols are nested, evaluate the expression in the innermost pair of grouping symbols first.
- https://math.libretexts.org/Courses/Highline_College/Math_081_091%3A_CAM_Aligned_Textbook/02%3A_Arithmetic/2.04%3A_Order_of_Operations\[ \begin{aligned} 12 + 2(3 + 5 \cdot 5 )^2 ~ & \textcolor{red}{ \text{ Multiply inside parentheses: 2 } \cdot 5 \text{ to get } 10.} \\ 12 + 2(3 + 10)^2 ~ & \textcolor{red}{ \text{ Add inside parenth...\[ \begin{aligned} 12 + 2(3 + 5 \cdot 5 )^2 ~ & \textcolor{red}{ \text{ Multiply inside parentheses: 2 } \cdot 5 \text{ to get } 10.} \\ 12 + 2(3 + 10)^2 ~ & \textcolor{red}{ \text{ Add inside parentheses/grouping symbols: } 3 + 10 \text{ to get } 13.} \\ 12 + 2(13)^2 ~ & \textcolor{red}{ \text{ Exponents are next: } (13)^2 \text{ to get } 169.} \\ 12 + 2(169)~ & \textcolor{red}{ \text{ Multiplication is next: } 2(169) \text{ to get } 338.} \\ 12 + 338 ~ & \textcolor{red}{ \text{ Finally add: }…
- https://math.libretexts.org/Courses/Highline_College/Math_081%3A_Introduction_to_Algebra/02%3A_Arithmetic/2.04%3A_Order_of_Operations\[ \begin{aligned} 12 + 2(3 + 5 \cdot 5 )^2 ~ & \textcolor{red}{ \text{ Multiply inside parentheses: 2 } \cdot 5 \text{ to get } 10.} \\ 12 + 2(3 + 10)^2 ~ & \textcolor{red}{ \text{ Add inside parenth...\[ \begin{aligned} 12 + 2(3 + 5 \cdot 5 )^2 ~ & \textcolor{red}{ \text{ Multiply inside parentheses: 2 } \cdot 5 \text{ to get } 10.} \\ 12 + 2(3 + 10)^2 ~ & \textcolor{red}{ \text{ Add inside parentheses/grouping symbols: } 3 + 10 \text{ to get } 13.} \\ 12 + 2(13)^2 ~ & \textcolor{red}{ \text{ Exponents are next: } (13)^2 \text{ to get } 169.} \\ 12 + 2(169)~ & \textcolor{red}{ \text{ Multiplication is next: } 2(169) \text{ to get } 338.} \\ 12 + 338 ~ & \textcolor{red}{ \text{ Finally add: }…
- https://math.libretexts.org/Courses/Las_Positas_College/Foundational_Mathematics/01%3A_The_Whole_Numbers/1.05%3A_Order_of_OperationsIn each case, the rule is “evaluate the expression inside the grouping symbols first.” If grouping symbols are nested, evaluate the expression in the innermost pair of grouping symbols first.
