Vedic maths · trick 15 of 36 · free

Working-base multiplication — Vedic maths trick

Trick 3 works near 10 and 100. With a working base like 50 = 5 × 10 or 300 = 3 × 100, the same idea works near ANY round number — you just multiply the left part by 5 or 3.

The trick

Anurupyena — “proportionately”

  1. Pick the working base (like 40 = 4 × 10 or 300 = 3 × 100) and write each number’s difference from it.
  2. Cross-add as in trick 3, then multiply that left part by 4 (or 3, 5…).
  3. Right part: multiply the differences — 1 digit for a × 10 base, 2 digits for a × 100 base (carry the extra).

Use it for: Both numbers near the same round number: 20, 30 … 90, 200, 300, 400, 500, 600.

Worked example: 48 × 46 = 2208

  1. Working base 50 = 5 × 10: 48 is −2, 46 is −4.
  2. Cross-add: 48 − 4 = 44.
  3. Multiply by 5: 44 × 5 = 220.
  4. Right part: (−2) × (−4) = 8 → answer 2208.

Check: 48 × 46 = 48 × 50 − 48 × 4 = 2400 − 192 = 2208 ✓

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🏁 Trick 15 test

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