Question

帮我回答一下题目（简便方法计算） 33333×6×11111+222222 1/2+1/6+1/12+1/30+1/42+1/56

还有999×888+888×777+777×666+666×555

Answer 1

33333×6×11111+222222
=33333*3*2*11111+200000+22222
=22222*（99999+1）+200000
=2222200000+200000
=2222400000
1/2+1/6+1/12+1/20+1/30+1/42+1/56 原式缺了+1/20
=1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8
=1-1/8
=7/8
999×888+888×777+777×666+666×555
=9*111*8*111+8*111*7*111+7*111*6*111+6*111*5*111
=（9*8+8*7+7*6+6*5）*111*111
=200*111*111
=2464200

Answer 2

33333×6×11111+222222
=199998×11111+222222
=200000×11111-2×11111+200000+22222
=200000×11112
=2222400000
1/2+1/6+1/12+1/30+1/42+1/56
=1/2+1/2-1/3+1/3-1/4+1/5-1/6+1/6-1/7+1/7-1/8
=1/2+1/2-1/8
=7/8
999×888+888×777+777×666+666×555
=9×8×111×111+8×7×111×111+7×6×111×111+6×5×111×111
=(9×8+8×7+7×6+6×5)×111×111
=200×12321
=2464200

Answer 3

33333*6*11111+22222=33333*66666+22222=11111*(3*6+2)=20*11111=222220第二个原试=111(9*8+8*7+7*6+6*5)=111*200=22200

Answer 4

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