四年级数学巧算题

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四年级数学巧算题
四年级数学巧算题

四年级数学巧算题
1/2+1/6+1/12+1/20+1/30+.+1/9900
=1/1×2+1/2×3+1/3×4+1/4×5+1/5×6+.+1/99×100
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+.+1/99-1/100
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+.+1/99-1/100
=1-1/100
=99/100
(1234+2341+3412+4123)/5
=[(1000+200+30+4)+(2000+300+40+1)+(3000+400+10+2)+(4000+100+20+3)]÷5
=[(1000+2000+3000+4000)+(200+300+400+100)+(30+40+10+20)+(4+1+2+3)]÷5
=[10000+1000+100+10]÷5
=10000÷5+1000÷5+100÷5+10÷5
=2000+200+20+2
=2222
765*963963-765765*963
=765×(963×1001)-(765×1001)×963
=765×963×1001-765×1001×963
=765×963×1001-765×963×1001
=0
2004.05×1997.05-2001.05×1999.05
=2004.05*1999.05 - 2004.05*2 - 2001.05*1999.05
=(2004-2001)*1999.05 - 2004.05*2
=3*1999.05 - 2*2004.05
=3*1999 + 3*0.05 - 2*2000 -2*4.05
=3*2000 - 3 + 0.15 - 2*2000 -8.10
=2000 - 3 + 0.15 - 8.10
=2000 +0.15 - 11.10
=1989.05