问几道奥数题 【急】!!!!!!!!!!!!!!!

来源:百度知道 编辑:UC知道 时间:2024/06/28 16:57:45
要简便计算
1. 1001+598-302+405-199
2. 19998+39996+49995+69996
3. 289+937-451+111-937+153
4. 612-375+275+(388+266)
5. 987+986-985+984-983+982-981......+4-3+2-1
好的+5分 【急】

1. 1001+598-302+405-199
=1000+1+600-2-300-2+400+5-200+1
=1000+600+400-300-200+1-2-2+5+1
=1503
2. 19998+39996+49995+69996
=20000-2+30000-4+40000-5+70000-4
=20000+30000+40000+70000-2-4-5-4
=160000-15
=159985
3. 289+937-451+111-937+153
=289+111-937+937+153-451
=400+153-451
=553-451
=102
4. 612-375+275+(388+266)
=612+388-375+275+266
=1000-(375-275)+266
=1000-100+266
=634
5. 987+986-985+984-983+982-981......+4-3+2-1
=987+(986-985)+(984-983)+(982-981)......+(4-3)+(2-1)
=987+986/2
=987+493
=1480

1.原式=1000+600-300+400-200+1-2-2+5+1
2.原式=20000+40000+50000+70000-2-4-5-4
3.原式=(937-937)-(451-111)+290+150-1+3
4.原式=(275-375)+(612+388)+266
5.原式=987+(986-985)+(984-983)……(2-1)
中间一共有986/2=493项,每一项都是1。则有987+493=