巧算①101+102+103+104+105+106+107+108+109=______②1+2-3+4-5+…-99?
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①101+102+103+104+105+106+107+108+109,
=(101+109)+(102+108)+(103+107)+(104+106)+105,
=210+210+210+210+105,
=210×4+105,
=840+105,
=945;
②1+2-3+4-5+…-99+100,
=1+2+(4-3)+(6-5)+…+(100-99),
=1+2+1+1+…+1,
=1+2+49,
=52;
③9999+999+99+9+4,
=9999+999+99+9+(1+1+1+1),
=(9999+1)+(999+1)+(99+1)+(9+1),
=10000+1000+100+10,
=11110;
④9876-1234-2345-3766-1655,
=9876-(1234+2345+3766+1655),
=9876-[(1234+3766)+(2345+1655)],
=9876-[5000+4000],
=9876-9000,
=876.
故答案为:945,52,11110,876.,1,巧算
①101+102+103+104+105+106+107+108+109=______
②1+2-3+4-5+…-99+100=______
③9999+999+99+9+4=______
④9876-1234-2345-3766-1655=______.
=(101+109)+(102+108)+(103+107)+(104+106)+105,
=210+210+210+210+105,
=210×4+105,
=840+105,
=945;
②1+2-3+4-5+…-99+100,
=1+2+(4-3)+(6-5)+…+(100-99),
=1+2+1+1+…+1,
=1+2+49,
=52;
③9999+999+99+9+4,
=9999+999+99+9+(1+1+1+1),
=(9999+1)+(999+1)+(99+1)+(9+1),
=10000+1000+100+10,
=11110;
④9876-1234-2345-3766-1655,
=9876-(1234+2345+3766+1655),
=9876-[(1234+3766)+(2345+1655)],
=9876-[5000+4000],
=9876-9000,
=876.
故答案为:945,52,11110,876.,1,巧算
①101+102+103+104+105+106+107+108+109=______
②1+2-3+4-5+…-99+100=______
③9999+999+99+9+4=______
④9876-1234-2345-3766-1655=______.
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