Common Subtraction Algorithm Errors in Teaching Mathematics

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12 Questions

What is the Error Name when the student takes the top digit, which is smaller, from the bottom one, which is larger?

Smaller From Larger

What is the Error Name when the student changes a 0 to a 9 without regrouping from the next digit to the left?

Regroup From Zero

In which error does the student change a 0 to a 10 instead of 9?

Doesn’t Decrement Zero

What is the Error Name when the student regroups from the leftmost digit instead of the digit immediately to the left?

Always Regroup Left

When does the student write down the bottom digit as the column answer?

Zero - N = N

What is the Error Name when the student skips regrouping when it is needed?

Blank Instead of Regroup

What is the Error Name when a student decrements correctly but writes 0 as the answer instead after regrouping?

Zero After Regroup

In which error does the student simply skip the column that requires regrouping and moves on to the next?

Blank Instead of Regroup

When regrouping across a 0, what is the Error Name when a student changes the 0 to a 10 instead of 9?

Doesn’t Decrement Zero

What Error Name is given to the situation where a student regroups from the leftmost digit instead of the digit immediately to the left?

Always Regroup Left

When the top digit is 0, what does the student write down as the column answer according to the algorithm error?

The bottom digit

Which Error Name describes the situation where the student regroups from zero but does not regroup from the next digit to the left?

Regroup From Zero

Study Notes

Common Subtraction Algorithm Errors

  • Smaller From Larger: student takes the top digit, which is smaller, from the bottom one, which is larger, instead of regrouping.
  • Regroup From Zero: student changes the 0 to a 9, but does not regroup from the next digit to the left.
  • Doesn't Decrement Zero: student changes the 0 to a 10 instead of 9 when regrouping across a 0.
  • Always Regroup Left: student regroups from the leftmost digit instead of regrouping from the digit immediately to the left.
  • Zero – N = N: student writes down the bottom digit as the column answer when the top digit is 0.
  • Blank Instead of Regroup: student skips the column and goes on to the next when regrouping is needed.
  • Zero Instead of Regroup: student writes 0 as the answer to the column requiring regrouping instead of regrouping.
  • Zero After Regroup: student decrements correctly, but writes 0 as the answer instead when a column requires regrouping, only when the top digit is 0.

This quiz covers common errors students make when using the subtraction algorithm in mathematics, such as subtracting the smaller digit from the larger one, regrouping incorrectly from zero, and not decrementing zero when needed.

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