Vedic maths · trick 22 of 36 · free

Last digits adding to 10 — Vedic maths trick

When two numbers have the same front part and their last digits add up to 10 (43 × 47, 92 × 98, 121 × 129), the answer comes in two quick pieces.

The trick

Antyayoreva — “only the last digits”

  1. Check: same front part, last digits add up to 10.
  2. Left part: front part × the next number.
  3. Right part: multiply the last digits — always write it with 2 digits.

Use it for: Pairs like 34 × 36, 71 × 79, 123 × 127. (Trick 2, squares ending in 5, is the special case 5 + 5.)

Worked example: 92 × 98 = 9016

  1. Front part 9, last digits 2 + 8 = 10 ✓.
  2. Left: 9 × 10 = 90.
  3. Right: 2 × 8 = 16.
  4. Answer: 9016.

Check: 92 × 98 = 92 × 100 − 92 × 2 = 9200 − 184 = 9016 ✓

✏️ Practice

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🏁 Trick 22 test

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