1*2/1+2*3/1+3*4/1+.+99*100/1怎样简算?
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![1*2/1+2*3/1+3*4/1+.+99*100/1怎样简算?](/uploads/image/z/65860-52-0.jpg?t=1%2A2%2F1%2B2%2A3%2F1%2B3%2A4%2F1%2B.%2B99%2A100%2F1%E6%80%8E%E6%A0%B7%E7%AE%80%E7%AE%97%3F)
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1*2/1+2*3/1+3*4/1+.+99*100/1怎样简算?
1*2/1+2*3/1+3*4/1+.+99*100/1怎样简算?
1*2/1+2*3/1+3*4/1+.+99*100/1怎样简算?
原式=1-1/2+1/2-1/3+1/3-1/4+……+1/99-1/100=1-1/100=99/100