Select the correct combination of mathematical signs to replace the "*" symbols and balance the equation: 6 * 4 * 12 * 12

Difficulty: Easy

Correct Answer: x, -, =

Explanation:


Introduction / Context:
We must choose a triple of operators for the three "*" positions so that the resulting statement is a true equality. Such problems reward quick testing of plausible arithmetic that keeps integers tidy.



Given Data / Assumptions:

  • Expression skeleton: 6 * 4 * 12 * 12
  • Operators must be inserted in the given order from the selected option.


Concept / Approach:
Prefer combinations that yield simple integers. A natural idea is to make the left-hand side compute to 12 so that “= 12” could plausibly balance. The pair "×, −" on the left can create such a result: 6 × 4 − 12 = 12.



Step-by-Step Solution:

Insert "×, −, =": 6 × 4 − 12 = 12.Compute: 6 × 4 = 24; 24 − 12 = 12; therefore 12 = 12, which is true.


Verification / Alternative check:
Test other choices briefly: e.g., "÷, −, =" gives 6 ÷ 4 − 12 = 12 (false). The selected set uniquely balances the equation cleanly.



Why Other Options Are Wrong:

They either place "=" in the wrong position or leave a non-integer/incorrect value on the left-hand side.


Common Pitfalls:
Forgetting that the last symbol must be "=" to produce a valid equality.



Final Answer:
x, -, =

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