计算题999…99 × 999…99 +1999…99计算999…99 × 999…99 +1999…99 后所得的末尾有( )个零.(1992个)(1992个)(1992个)
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计算题999…99 × 999…99 +1999…99计算999…99 × 999…99 +1999…99 后所得的末尾有( )个零.(1992个)(1992个)(1992个)
计算题999…99 × 999…99 +1999…99
计算999…99 × 999…99 +1999…99 后所得的末尾有( )个零.
(1992个)(1992个)(1992个)
计算题999…99 × 999…99 +1999…99计算999…99 × 999…99 +1999…99 后所得的末尾有( )个零.(1992个)(1992个)(1992个)
计算999…99 × 999…99 +1999…99 后所得的末尾有( 1992×2 = 3984 )个零.
(1992个)(1992个)(1992个)
将“000...0000(1992个0)”缩写为“A”,则原式为:
999…99 × 999…99 +1999…99
=(1A -1)(1A -1) +2A-1
=1A × 1A - 2A +1 +2A-1
=1A × 1A
即:
100...0 × 100.0
(1992个) 1992个
结果为100..00
3984个
3999...998
0
没有表述清楚!
原式=(1000…00 - 1)×(1000…00 - 1)+(2000…00-1)
(1992个) (1992个) (1992个)
=1000…00 ×1000…00-1000…00×2+1-2000…000-1
(1992个)(1992个)(1992个) (1992个)
=1000…000
(3984个)