Directions: In a symbolic mathematical system, standard arithmetic operators are redefined as follows:
+ represents division (÷)
- represents multiplication (×)
× represents subtraction (-)
÷ represents addition (+)
Based on these redefined rules, calculate the value of the following expression:
(18 + 3) - 4 ÷ (15 × 7)
Correct Answer :
32
Solution :
The correct answer is 32.
Step 1: Understand the given operator redefinitions
According to the problem statements, standard arithmetic operators are redefined as follows:
+ represents division (÷)
- represents multiplication (×)
× represents subtraction (-)
÷ represents addition (+)
Step 2: Substitute the redefined operators into the expression
The given expression is:
Replacing each symbol according to the redefined rules:
Step 3: Evaluate the expression using standard order of operations (BODMAS/PEMDAS)
1. Solve inside the brackets first:
Substituting these simplified values back into the expression gives:
2. Perform multiplication before addition:
3. Perform addition:
Thus, the final value of the given expression is 32.
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