Sub-Sūtra 4 of 13

Yāvadūnaṁ Tāvadūnam

Lessen by the deficiency

Cubing numbers near a base.

When to use

Cubing numbers like 98, 103.

How it works

For N near base B with deficit d: N³ ≈ (N − 2d) | 3·d·(N − 2d) | … (extended formula).

Memory formula

Whatever the deficiency, reduce by that much again and square the deficiency.

Worked examples

Problem 1

98³

0/4

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