The problem asks to find the value of the mathematical expression: $(14 \div 7) \times [8 + \{3 + 8 - 2\}] - (5 - 2)$. We will solve this using the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Step-by-Step Calculation
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Simplify Innermost Parentheses/Brackets:
- Calculate the division: $14 \div 7 = 2$
- Calculate the sum and subtraction inside the curly braces: $3 + 8 - 2 = 11 - 2 = 9$
- Calculate the subtraction inside the last parentheses: $5 - 2 = 3$
The expression becomes: $2 \times [8 + \{9\}] - 3$.
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Simplify the Square Brackets:
- Perform the addition inside the brackets: $8 + 9 = 17$
The expression is now: $2 \times [17] - 3$.
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Perform Multiplication:
- Multiply $2$ by $17$: $2 \times 17 = 34$
The expression simplifies to: $34 - 3$.
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Perform Subtraction:
- Subtract $3$ from $34$: $34 - 3 = 31$
Final Value
The value of the expression $(14 \div 7) \times [8 + \{3 + 8 - 2\}] - (5 - 2)$ is 31.
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Important Questions from Simplification
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Simplify.
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