In a certain mathematical coding language, if '+' denotes multiplication, '×' denotes subtraction, '-' denotes division, and '÷' denotes addition, then determine the value of the expression: $16+4\times 18-2÷2=?$

The correct answer is Option 3: 57.

To solve this mathematical coding problem, we need to decode the given operators according to the rules specified in the question and then evaluate the resulting expression using the BODMAS/PEMDAS rule (Order of Operations).

Step 1: Understand the Symbol Replacements
From the given information, we have:
• '+' denotes multiplication (×)
• '×' denotes subtraction (-)
• '-' denotes division (÷)
• '÷' denotes addition (+)

Step 2: Rewrite the Expression
The original expression is:

$16+4\times 18-2÷2$

Replacing the symbols with their actual mathematical operations gives:

$16\times 4-18÷2+2$

Step 3: Evaluate the Decoded Expression using Order of Operations

First, perform the division operation ($18÷2$):

$18÷2=9$

Now the expression becomes:

$16\times 4-9+2$

Next, perform the multiplication operation ($16\times 4$):

$16\times 4=64$

Now the expression becomes:

$64-9+2$

Finally, perform the addition and subtraction from left to right:

$64-9=55$

$55+2=57$

Thus, the final value of the given expression is 57.