简算1.01+2.02+3.03+…+98.98+99.99等余多少?

1个回答

  • 1.01+2.02+3.03+…+98.98+99.99

    =1·01×1+1·01×1×2+1·01×3+····+1·01×98+1·01×1×99

    =1·01×(1+2+3+····+99)

    =1·01×(1+99)×99÷2

    =1·01×100×99÷2

    =1·01×50×99

    =50·5×99

    =50·5×(100-1)

    =50·5×100-50·5×1

    =5050-50·1

    =5050-50-0·1

    =5000-0·1

    =4999·9