巧算. 19+199+1999+19999+199 1+2+3+4+…+97+98+99+100.
问题描述:
巧算.
19+199+1999+19999+199
1+2+3+4+…+97+98+99+100.
答
19+199+1999+19999+199,
=19+1+199+1+1999+1+19999+1+199+1-5,
=20+200+2000+20000+200-5,
=22420-5,
=22415;
1+2+3+4+…+97+98+99+100,
=(1+100)×100÷2,
=101×100÷2,
=5050.