相关经文
Nikhilam Navataścaramam Daśataḥ
“全部从9，最后从10”
用于接近基数的乘法和使用补数的减法
理论
Nikhilam for multiplication near base
For 97 × 96 (near 100):
- Deviations: -3, -4
- Left: 97 - 4 = 93 (or 96 - 3)
- Right: (-3) × (-4) = 12
- Result: 9312
步骤
1
Find deviations from base
97 from 100: -3
2
Cross-subtract
97 - 4 = 93
3
Multiply deviations
(-3)×(-4) = 12
4
Combine
9312
示例
97 × 96
中等1
Deviations
-3, -4
2
Cross
97-4=93
3
Right
3×4=12
4
Result
9312
答案：9312