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Darko found the sum of 324 and 57 to be 894. What error did he make?



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Responses

Darko added 324 and 75 by mistake.
Darko added 324 and 75 by mistake.

Darko did not regroup correctly after adding the ones digits.
Darko did not regroup correctly after adding the ones digits.

Darko multiplied the numbers instead of adding them.
Darko multiplied the numbers instead of adding them.

Darko did not align the digits by their place value when he set up the problem.

3 answers

Darko's mistake most likely occurred because he did not regroup correctly after adding the ones digits. When adding 324 and 57:

  • The ones place: 4 + 7 = 11, which means he should carry over 1.
  • The tens place: 2 + 5 + 1 (the carry) = 8.
  • The hundreds place: 3 + 0 = 3.

So the correct sum is 381, not 894.

Therefore, the correct response is: Darko did not regroup correctly after adding the ones digits.

are you sure

Let's go through the addition of 324 and 57 step by step to confirm:

  1. Align the numbers by place value:
  324
+  57

  1. Add the ones column (rightmost column):

    • 4 (from 324) + 7 (from 57) = 11
    • Write down 1 and carry over 1 to the next column.

  2. Add the tens column:

    • 2 (from 324) + 5 (from 57) + 1 (the carry) = 8

  3. Add the hundreds column:

    • 3 (from 324) + 0 = 3

So, the correct sum is:

  381

Given that Darko arrived at 894, it seems he either miscalculated in some way or misaligned the digits. However, since 894 is not a reasonable outcome from this addition, the most probable causes would be:

  • He may have misaligned the digits when adding.
  • He may have made an error in carrying over digits.

Considering the provided options, the most logical conclusion is:

Darko did not align the digits by their place value when he set up the problem.

I apologize for the initial oversight and confusion. Thank you for your patience.