Vedic maths · trick 27 of 36 · free

Cubes near 100 and 1000 — Vedic maths trick

Like trick 16 for squares, a number close to 100 or 1000 can be cubed from its small difference: three parts instead of two.

The trick

Yavadunam — “whatever the deficiency”

  1. Left part: the number + twice the difference.
  2. Middle part: 3 × the difference squared.
  3. Right part: the difference cubed.
  4. Each right-hand part has as many digits as the base has zeros — carry the extra, borrow if a part is negative.

Use it for: Cubes of 91 to 109 and 980 to 1020.

Worked example: 103³ = 1092727

  1. 103 is +3 from 100.
  2. Left: 103 + 6 = 109. Middle: 3 × 9 = 27. Right: 3³ = 27.
  3. Each part already has 2 digits.
  4. Answer: 1092727.

Check: 103² = 10609, 10609 × 103 = 1092727 ✓

✏️ Practice

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🏁 Trick 27 test

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

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🖨️ Cubes Near 100 Worksheet

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