Step 5 in the addition algorithm resets the carry if the sum of two digits is greater than or equal to 10. The algorithm for adding two m-digit numbers does not require any conditi... Step 5 in the addition algorithm resets the carry if the sum of two digits is greater than or equal to 10. The algorithm for adding two m-digit numbers does not require any conditional steps.
Understand the Problem
The question is discussing a specific step in the addition algorithm for adding two m-digit numbers, mentioning how a carry is reset. It requires an understanding of the algorithmic steps involved in basic addition and carries in number theory.
Answer
Step 5 resets the carry when the sum of two digits is ≥ 10.
Step 5 in the addition algorithm resets the carry if the sum of two digits is greater than or equal to 10, ensuring that the carry is correctly accounted for in subsequent calculations.
Answer for screen readers
Step 5 in the addition algorithm resets the carry if the sum of two digits is greater than or equal to 10, ensuring that the carry is correctly accounted for in subsequent calculations.
More Information
In a digit-by-digit addition algorithm for numbers, when the sum of two digits in a particular place value column (like units, tens, etc.) is 10 or more, the carry must be set for the next column. If the sum is greater or equal to 10, the carry is typically reset to 1 and often the current digit is adjusted by subtracting 10 from it.
Tips
A common error is forgetting to reset the carry after more than one such occurrences when adding multiple-digit numbers.
Sources
- Algorithm Step Through: Adding Two Digit Numbers - cs.kent.edu
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