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Long Subtraction Calculator

Long Subtraction Method:

\[ \begin{array}{r} \phantom{0}a \\ -\phantom{0}b \\ \hline \phantom{0}c \\ \end{array} \]

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1. What is Long Subtraction?

Long subtraction (also called column subtraction) is a method for subtracting numbers by writing them vertically and subtracting one digit at a time from right to left, borrowing when necessary.

2. How Does Long Subtraction Work?

The long subtraction method:

\[ \begin{array}{r} \phantom{0}a \\ -\phantom{0}b \\ \hline \phantom{0}c \\ \end{array} \]

Steps:

  1. Write the numbers vertically with larger number on top
  2. Subtract digits from right to left
  3. If top digit is smaller than bottom digit, borrow from next left digit
  4. Continue until all digits are subtracted

3. Importance of Subtraction

Details: Subtraction is a fundamental arithmetic operation used in everyday life for calculations involving removal, difference, or reduction.

4. Using the Calculator

Tips: Enter two non-negative integers. The calculator will compute the difference (a - b). Negative results indicate b > a.

5. Frequently Asked Questions (FAQ)

Q1: What is borrowing in subtraction?
A: When a digit in the minuend (top number) is smaller than the corresponding digit in the subtrahend (bottom number), we "borrow" 10 from the next left digit.

Q2: Can this calculator handle decimals?
A: Currently it only handles whole numbers. For decimals, align the decimal points and follow the same method.

Q3: What if the result is negative?
A: The calculator shows negative results when the second number is larger than the first.

Q4: Why use long subtraction instead of a calculator?
A: Learning the method builds number sense and mental math skills. It's essential for understanding place value.

Q5: How do I check my subtraction?
A: Add the result to the subtrahend - it should equal the minuend (c + b = a).

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