小学五年级数学题1/1*2+1/2*3+1/3*4+.+1/99*100+1/100*101
2019-04-15
小学五年级数学题
1/1*2+1/2*3+1/3*4+.+1/99*100+1/100*101
优质解答
1/1*2+1/2*3+1/3*4+.+1/99*100+1/100*101
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+.+(1/99-1/100)+(1/100-1/101)
=1-1/101
=100/101
1/1*2+1/2*3+1/3*4+.+1/99*100+1/100*101
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+.+(1/99-1/100)+(1/100-1/101)
=1-1/101
=100/101