Insert signs to satisfy a zero result — Choose the correct ordered signs for the blanks in: 8 * 6 * 96 * 2 = 0

Introduction / Context:Here, we must create an expression equal to zero by selecting a specific sequence of three operators. Because × and ÷ dominate precedence, structuring the middle subtraction to balance two multiplicative terms is a common path to zero.

Given Data / Assumptions:

• Template: 8 * 6 * 96 * 2 = 0.
• We replace the three asterisks with the ordered symbols from one option.
• Standard precedence applies.

Concept / Approach:Try to form A − B where A and B are equal. Choosing 'x - ÷' yields 8 × 6 − 96 ÷ 2, which is promising because 8 × 6 = 48 and 96 ÷ 2 = 48, giving 48 − 48 = 0.

Step-by-Step Solution:Select 'x - ÷': 8 × 6 − 96 ÷ 2.Compute: 8 × 6 = 48; 96 ÷ 2 = 48.Difference: 48 − 48 = 0.Therefore the equation holds.

Verification / Alternative check:Check one alternative: 'x ÷ -' ⇒ 8 × 6 ÷ 96 − 2 = 48 ÷ 96 − 2 = 0.5 − 2 ≠ 0.

Why Other Options Are Wrong:

• '- x ÷': 8 − 6 × 96 ÷ 2 is dominated by the large product term and won’t be zero.
• '÷ - x': 8 ÷ 6 − 96 × 2 is strongly negative, not zero.
• 'None of these': unnecessary because a correct option exists.

Common Pitfalls:Evaluating strictly left-to-right and ignoring precedence; you must compute × and ÷ before the subtraction to see the intended cancellation.

Final Answer:x - ÷