5th Grade Math Question of the Day

1. Did the original problem actually state that there were 7 friends, or did I assume that number? (correct answer)
2. Was my verification calculation $12 \times 7 = 84$ performed accurately using proper multiplication?
3. Did I correctly identify that this problem requires division to find the number of marbles per friend?
4. Would a different approach, like repeated subtraction, have been more appropriate for this type of problem?

Explanation: When evaluating a problem-solving process, you need to check whether you followed logical steps based on what the problem actually told you, rather than what you might have assumed. Let's trace through Jack's work. He started with 84 marbles to share equally and found each friend gets 12 marbles. Then he verified with $12 \times 7 = 84$. Notice something important here: Jack's verification assumes there are 7 friends, but we need to ask where that number came from. If the original problem didn't specify 7 friends, then Jack made an assumption rather than solving what was actually asked. This is exactly what choice A identifies - the most critical question Jack should ask himself. Choice B is wrong because Jack's multiplication $12 \times 7 = 84$ is mathematically correct, so the accuracy of his arithmetic isn't the issue. Choice C is wrong because Jack did correctly identify that division was needed - he successfully found that each friend gets 12 marbles by dividing. Choice D is wrong because the method choice (division vs. repeated subtraction) isn't the problem here; both would work fine for this type of sharing problem. The real issue is whether Jack solved the actual problem or created his own version by assuming information that wasn't given. Study tip: When evaluating problem-solving, always check if you used only the information provided in the problem. The most common error isn't wrong calculations - it's making assumptions about missing information instead of recognizing what the problem is actually asking you to find.