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Which of the following keywords might help in identifying a division word problem?

  1. All together

  2. Per

  3. Sum

  4. Difference

The correct answer is: All together

In identifying a division word problem, the keyword that is most relevant is "per." This term is commonly used to indicate a rate or ratio, which often involves dividing one quantity by another. For example, when we say "miles per hour" or "price per item," we are effectively dividing the total number of miles by the total number of hours or the total cost by the number of items, respectively. In these contexts, it highlights the relationship between two quantities, making it clear that division is required to solve the problem. The other keywords, while they might relate to mathematical operations, do not specifically pertain to division. "All together" typically implies addition, while "sum" directly refers to the result of adding quantities. Similarly, "difference" pertains specifically to subtraction. Thus, "per" stands out as the keyword that signals a need for division in word problems.