102-101+100+99-98-97+96+95-94-93+92+91-90-89+…+8+7-6-5+4+3-2-1=_.
问题描述:
102-101+100+99-98-97+96+95-94-93+92+91-90-89+…+8+7-6-5+4+3-2-1=______.
答
102-101+100+99-98-97+96+95-94-93+92+91-90-89+…+8+7-6-5+4+3-2-1
=102-101+(100+99-98-97)+(96+95-94-93)+…+(4+3-2-1),
=102-101+4+4+…4,
=102-101+100÷4×4,
=1+100,
=101.
故答案为:101.