Ctrl+k

Find and correct an addition error

Addition errors with addends and sums within 1,000 can be identified by interpreting each digit according to its place value and checking whether ones, tens, and hundreds were combined and regrouped correctly. The reasoning distinguishes a computational mistake—such as failing to compose 10 ones or 10 tens—from a valid strategy written differently, and verifies the result through decomposition, an open number line, estimation, or related subtraction; formal algebraic error analysis is beyond this scope.

Detailed Explanation: Find and correct an addition error

Look at each place value: ones, tens, and hundreds. Check whether a group of 1010 was regrouped into the next place.

Example:

246+178314\begin{array}{r} 246\\ +178\\ \hline 314 \end{array}

This answer is not correct. Let’s check it from right to left.

  1. Ones:
    6+8=146+8=14. Write 44 in the ones place and regroup 1010 ones as 11 ten.

  2. Tens:
    Add the regrouped ten:
    4+7+1=124+7+1=12. Write 22 in the tens place and regroup 1010 tens as 11 hundred.

  3. Hundreds:
    2+1+1=42+1+1=4.

So the correct answer is:

246+178424\begin{array}{r} 246\\ +178\\ \hline 424 \end{array}

The error was not adding the regrouped ten in the tens place. The answer 314314 is also too small: 246+178246+178 is close to 250+180=430250+180=430, so 424424 makes sense.

Learn by doing: Find and correct an addition error

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Practice with unlimited practice problems

Addition - Missing Value, 3 Digit, 1 Number


    ?