Discussion
What will come in place of the '?' in the following equation, if '+' and '-' are interchanged and '×' and '÷' are interchanged? 20 + 2 - 84 × 12 ÷ 4 = ?
Answer: D
The value is 46.
Interchange + with − and × with ÷ in 20 + 2 − 84 × 12 ÷ 4. This gives 20 − 2 + 84 ÷ 12 × 4. Doing the division and multiplication first, 84 ÷ 12 = 7 and 7 × 4 = 28. Then 20 − 2 + 28 = 46.
270, 274 and 50 result from not interchanging all four signs or from the wrong order of operations.
Work in the order of operations: after the interchange the expression is 20 − 2 + 84 ÷ 12 × 4, so the division and multiplication go first, from left to right. That gives 84 ÷ 12 = 7 and then 7 × 4 = 28, and finally 20 − 2 + 28 = 46.
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