计算:11×101×10001
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计算:11×101×10001
计算:11×101×10001
计算:11×101×10001
11×101×10001
=9*11*101*10001/9
=99*101*10001/9
=(100-1)(100+1)*10001/9
=(100^2-1)*10001/9
=9999*10001/9
=(10000-1)(10000+1)/9
=(10000^2-1)/9
=99999999/9
=11111111.
11*101*10001
=(10+1)*(10^2+1)*(10^4+1)
=[(10-1)(10+1)*(10^2+1)*(10^4+1)]/(10-1)
=[(10^-1)(10^2+1)*(10^4+1)]/(10-1)
=(10^4-1)(10^4+1)/(10-1)
=(10^8-1)/(10-1)
=99999999/9
=11111111