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Long addition calculator

Choose the sum or a missing addend. The explanation aligns decimal places, works through the columns and keeps the final sign.

Calculator

Exact sum
1146
Column work
Align both inputs to 0 decimal places; work on magnitudes and restore the result sign.; 10^0: 7 + 9 + 0 = 16; write 6, carry 1; 10^1: 8 + 5 + 1 = 14; write 4, carry 1; 10^2: 6 + 4 + 1 = 11; write 1, carry 1; Final carry: 1; answer = 1146

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How this calculator works

Align decimal points by expressing both inputs with the same number of decimal places. For equal signs, add magnitudes with carries; for opposite signs, subtract the smaller magnitude with borrowing and restore the sign. Reverse modes rearrange the original equation, then show the corresponding column operation. Integer coefficients preserve exact decimal results.

Formula

c = a + b; a = c - b; b = c - a. Each column writes its sum modulo 10 and carries the remaining tens.

Worked example

687 + 459 = 1146. In the ones column, 7 + 9 = 16: write 6 and carry 1. Then 8 + 5 + 1 = 14: write 4 and carry 1.

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Frequently asked questions

Can I enter decimals?

Yes. Decimal places are aligned before calculation, so 0.1 and 0.20 use the same place-value scale.

How are negative inputs handled?

The column work uses magnitudes with the appropriate addition or subtraction. The exact answer restores the final sign.

Why show the answer as text?

Exact decimal text avoids binary rounding artefacts and preserves every result digit supported by the numeric input values.

Sources

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