Long Subtraction Calculator With Decimals

Decimal Subtraction:

\[ a - b = \text{difference} \]

Difference (a - b):

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1. What is Decimal Subtraction?

Decimal subtraction is the process of finding the difference between two decimal numbers. It follows the same principles as whole number subtraction but requires careful alignment of decimal points.

2. How to Subtract Decimals

To subtract decimals:

Write the numbers vertically with decimal points aligned
Add trailing zeros if needed for equal decimal places
Subtract as with whole numbers, borrowing when necessary
Place the decimal point in the result directly below the others

3. Step-by-Step Example

Example: Subtract 45.67 from 123.45

\[ \begin{array}{r} \phantom{0}123.45 \\ -\phantom{0}45.67 \\ \hline \phantom{0}077.78 \\ \end{array} \]

Explanation: We borrowed where necessary and maintained decimal alignment throughout the calculation.

4. Using the Calculator

Tips: Enter any two decimal numbers (positive or negative). The calculator will compute the difference (first number minus second number).

5. Frequently Asked Questions (FAQ)

Q1: How do I subtract numbers with different decimal places?
A: Add zeros to the number with fewer decimal places to match lengths before subtracting.

Q2: What if I subtract a larger number from a smaller one?
A: The result will be negative, representing how much larger the second number is.

Q3: How many decimal places should the answer have?
A: The answer should have as many decimal places as the number with the most decimal places in the problem.

Q4: Can I subtract whole numbers as decimals?
A: Yes, simply add a decimal point and zeros (e.g., 5 becomes 5.000).

Q5: How is decimal subtraction different from whole number subtraction?
A: The process is identical except for the crucial step of aligning decimal points first.