DEV Community

Amit Upadhyay for SutraFlow

Posted on • Originally published at sutraflow.app on

Śeṣāṇyaṅkena Caramaṇa — The remainders by the last digit

Śeṣāṇyaṅkena Caramaṇa

शेषाण्यङ्केन चरमेणShesanyankena Charamena

The remainders by the last digit. Express numbers in terms of a reference base and use remainders (vinculum) to simplify complex calculations.

Why it works: Vinculum representation: replace digits > 5 with (digit−10) and carry +1 forward. This converts digits to a 'balanced' ±5 range, reducing carry complexity in subsequent operations.

Speed advantage: Reduces mental load in large multiplication/division by keeping digits small.

Best for

  • Simplifying numbers with large digits (6–9) for computation

See the animated lesson, practice drills & proof on SutraFlow →

Originally published at https://www.sutraflow.app/sutras/shesanyankena-charamena

Top comments (0)