Points to Remember:
- The question involves code substitution.
- We need to replace the letters with their corresponding mathematical operations.
- The order of operations (PEMDAS/BODMAS) must be followed.
Introduction:
This question tests the ability to decipher a code and apply basic arithmetic operations. It involves substituting letters with mathematical symbols (+, -, Ã, ÷) and then solving the resulting mathematical expression. The correct application of the order of operations (Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) is crucial for arriving at the correct answer.
Body:
1. Code Substitution:
The given code is: L stands for +, M stands for -, N stands for Ã, P stands for ÷.
2. Substituting the Code:
The expression 14N10L42P2M8 becomes: 14 à 10 + 42 ÷ 2 – 8
3. Applying the Order of Operations:
Following the order of operations (PEMDAS/BODMAS):
Multiplication and Division (from left to right):
- 14 Ã 10 = 140
- 42 ÷ 2 = 21
The expression now becomes: 140 + 21 – 8
Addition and Subtraction (from left to right):
- 140 + 21 = 161
- 161 – 8 = 153
4. Solution:
Therefore, the solution to the expression 14N10L42P2M8 is 153.
Conclusion:
By systematically substituting the coded letters with their corresponding mathematical operations and diligently following the order of operations, we arrive at the solution of 153. This problem highlights the importance of understanding coding systems and applying mathematical rules accurately. This type of question promotes logical reasoning and problem-solving skills, essential for various fields. Further development of these skills can be achieved through continued practice with similar coded problems and a focus on mastering the order of operations. This approach fosters a strong foundation in mathematical literacy, crucial for holistic development.
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