Discussion
If '+' means '-', '×' means '+', '÷' means '×', '-' means '÷', then what is '?' in the given equation? 325 - 13 × 99 ÷ 25 + 127 = ?
Answer: A
The value is 2373.
Replace each sign by its new meaning: '−' means ÷, '×' means +, '÷' means ×, and '+' means −. The equation 325 − 13 × 99 ÷ 25 + 127 becomes 325 ÷ 13 + 99 × 25 − 127. Working it out: 325 ÷ 13 = 25, 99 × 25 = 2475, so 25 + 2475 − 127 = 2373.
2973, 2627 and 2273 come from mistakes in applying the new signs or the order of operations.
The order of operations matters after the signs are replaced: do the division and multiplication first, and then the addition and subtraction. Here 325 ÷ 13 = 25 and 99 × 25 = 2475 come first, and then 25 + 2475 = 2500 and 2500 − 127 = 2373.
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