Understanding the Equation Problem

The question asks us to find the value of the expression $8 \times 2 \div 16$ after performing specific interchanges between mathematical operators. The rules given are:

• '+' and '-' are interchanged.
• 'x' and '$\div$' are interchanged.

Interchanging Operators

Let's apply the given interchange rules to the original equation:

Original equation: $8 \times 2 \div 16 = ?$

According to the rules:

• The multiplication symbol 'x' needs to be replaced with the division symbol '$\div$'.
• The division symbol '$\div$' needs to be replaced with the multiplication symbol 'x'.

Applying these replacements, the equation transforms into:

$8 \div 2 \times 16 = ?$

Calculation After Operator Interchange

Now, we need to solve the new equation $8 \div 2 \times 16$. We follow the standard order of operations (PEMDAS/BODMAS), which states that multiplication and division should be performed from left to right.

1. First, perform the division: $8 \div 2$.
   $8 \div 2 = 4$
2. Next, perform the multiplication using the result from the previous step: $4 \times 16$.
   $4 \times 16 = 64$

Therefore, the value of the expression after the operator interchanges is 64.

Final Result

The question mark in the equation $8 \times 2 \div 16 = ?$ will be replaced by 64 after interchanging the operators as specified.