Vedic maths · trick 14 of 36 · free

Subtraction without borrowing — Vedic maths trick

Borrowing is where most subtraction mistakes happen. In the Vedic method you never change the top number: when a column is short you write a complement — “from 10” to start, “from 9” while the columns are still short — and leave the complements with a −1.

The trick

Nikhilam Navatashcaramam Dashatah — “all from 9 and the last from 10”

  1. Work from the right. Top digit bigger or equal: just subtract.
  2. Top digit smaller: take the difference and write its complement from 10. Complements start.
  3. While in complements: top digit smaller or equal → complement of the difference from 9.
  4. Top digit bigger → leave the complements: top − bottom − 1.

Use it for: Any subtraction of whole numbers — especially zeros in the top row. Same digits while in complements give 9 (from 9, difference 0).

Worked example: 5203 − 1758 = 3445

  1. 3 < 8: difference 5, from 10 → 5. Complements start.
  2. 0 < 5: difference 5, from 9 → 4.
  3. 2 < 7: difference 5, from 9 → 4.
  4. 5 > 1: leave the complements, 5 − 1 − 1 = 3. Answer: 3445.

Check: 3445 + 1758 = 5203 ✓

✏️ Practice

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🏁 Trick 14 test

20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.

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🖨️ Subtraction Without Borrowing Worksheet

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