Question

One of Mr. Spilker's students, Vanessa, incorrectly answered the addition problem457+138 as represented in the work shown. The student does 457+138=585 (not regrouping). Mr. Spilker wants to give Vanessa another problem to check whether she misunderstands the standard addition algorithm or whether she simply made a careless error. Which of the following problems will be most useful for Mr. Spilker's purpose?

A. 236+199
B. 541+297
C. 623+178
D. 392+416

Answer 1

To diagnose Vanessa's understanding of the addition algorithm, Mr. Spilker should choose a problem requiring regrouping in multiple places. Problem B. 541+297 is ideal as it necessitates regrouping in both the tens and hundreds places.

Step-by-step explanation:

The question involves Vanessa, a student, who incorrectly solved the addition problem 457+138 without regrouping.

Mr. Spilker is interested in determining whether Vanessa has a misunderstanding of the standard addition algorithm or if she simply made a careless error.

To test for a possible misunderstanding, it would be most useful for Mr. Spilker to give Vanessa a problem that requires regrouping in more than one place.

The addition problem that best fits this criterion is B. 541+297, where both tens and hundreds would need to be regrouped.