Equation Signs Replacement Puzzle

The problem requires finding the correct sequence of arithmetic signs to replace the asterisks (*) in the given equation: $12*108*6=8*4*2$. We need to test the options provided, substituting the signs and checking if the equation holds true, following the standard order of operations (PEMDAS/BODMAS).

Verifying Signs with Option D: $+ \div \times -$

Let's substitute the signs from Option D ($+$, $\div$, $\times$, $-$) into the equation:

$12 + 108 \div 6 = 8 \times 4 - 2$

Now, we evaluate both sides of the equation using the order of operations (division and multiplication before addition and subtraction):

Left Side:

• First, perform the division: $108 \div 6 = 18$.
• The equation becomes: $12 + 18$.
• Finally, perform the addition: $12 + 18 = 30$.

Right Side:

• First, perform the multiplication: $8 \times 4 = 32$.
• The equation becomes: $32 - 2$.
• Finally, perform the subtraction: $32 - 2 = 30$.

Since the left side (30) equals the right side (30), the sequence of signs $+ \div \times -$ is correct.

The correct option uses the signs $+ \div \times -$ to satisfy the equation.