奥数题22222乘以22222怎么做

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奥数题22222乘以22222怎么做

奥数题22222乘以22222怎么做
奥数题22222乘以22222怎么做

奥数题22222乘以22222怎么做
22222×22222
=11111×11111×4
=123454321×4
=493817284

22222*22222=4*(1+10+100+1000+10000)^2
=4*[(1-10^5)/(1-10)]^2
=4*[(10^5-1)/(10-1)]^2
=4*[(10^5-1)^2]/9^2
=4*(10^5-1)^2/81
=[4*10^10-8*10^5+4]/81
=(40000000000-800000+4)/81
=39999200004/81
=493817284

22222×22222
=11111×11111×4
=123454321×4
=493817284

22222×22222
=11111×11111×4
=123454321×4
=493817284