Directions: Evaluate the given expression based on the redefined mathematical operator rules below.
In a symbolic mathematical system, standard arithmetic operators are redefined as follows:
+ represents ÷
÷ represents ×
- represents +
× represents -
Using the rules specified above, calculate the value of the expression: 48 + 8 ÷ 3 - 12 × 6
Correct Answer :
24
Solution :
The correct answer is 24.
Step-by-step explanation:
Given the original mathematical expression:
According to the given symbolic operator redefinitions:
• + represents ÷
• ÷ represents ×
• - represents +
• × represents -
Replacing each operator in the original expression with its new meaning gives:
Now, evaluate the expression step-by-step following the standard order of operations (BODMAS / PEMDAS):
Step 1: Perform Division
The expression becomes:
Step 2: Perform Multiplication
The expression becomes:
Step 3: Perform Addition
The expression becomes:
Step 4: Perform Subtraction
Thus, the final calculated value of the expression is 24.
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