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Scientific Notation Arithmetic

Add, multiply or divide two exact decimal values and round to significant digits.

Two explicit decimal or scientific-notation operands, Operation and significant-digit count

scientific-arithmetic.json

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How to use this tool

  • Enter two decimal or scientific-notation values and choose addition, multiplication or division.
  • Choose 1 through 50 significant digits.
  • Calculate and download the exact fraction, normalized display and rounding report.

Examples

1e3 plus 2e2 has exact value 1200, shown as 1.20e3 at three significant digits.

Limitations

  • Each raw operand has at most 128 units, 100 coefficient digits and written exponent from -1000 through 1000. At most 4096 combined control units, 4096 intermediate digits, 64 KiB output and 30 seconds.
  • Division by zero refuses. Exact fractions are retained for repeating results; rounded scientific displays are not presented as exact values.
  • Rounding is half away from zero with exponent carry. Requested significant trailing zeros are retained; exact zero is shown as 0e0.

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