早教吧作业答案频道 -->数学-->
1*4*74*7*107*10*13.94*97*100
题目详情
1*4*7 4*7*10 7*10*13.94*97*100
▼优质解答
答案和解析
1(1×4)+1/(4×7)+1/(7×10)+1/(10×13)+……+1/(94×97)+1/(97×100)
=(1/3)×[3/(1×4)+3/(4×7)+3/(7×10)+3/(10×13)+……+3/(94×97)+3/(97×100)]
=(1/3)×(1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+……+1/94-1/97+1/97-1/100)
=(1/3)×(1-1/100)
=1/3×99/100
=33/100
=(1/3)×[3/(1×4)+3/(4×7)+3/(7×10)+3/(10×13)+……+3/(94×97)+3/(97×100)]
=(1/3)×(1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+……+1/94-1/97+1/97-1/100)
=(1/3)×(1-1/100)
=1/3×99/100
=33/100
看了 1*4*74*7*107*1...的网友还看了以下:
计算:①222×44+889×88=②100-99+98-97+96-95+…+42-41+40= 2020-04-07 …
525÷13.125÷4÷1.01×85.85100×100-99×99+98×98-97×97+ 2020-04-07 …
直接写得数.1÷0.1÷0.1=27×59÷27×59=2.1+0.19=13-15=1.97×2 2020-07-09 …
直接写出得数.8.1÷0.03=45+13=165×158=97-31=58÷110=134-18 2020-07-14 …
计算,能简算的要简算.①6.21-3.8+2.2②6.03+3.7+2.97③17.43-6.57 2020-07-17 …
4444=34444=54444=74-4+4-4=04-4+4/4=14/4+4/4=24+4- 2020-07-17 …
简便计算.2.31×1.2×0.599×4.3132-43.7-56.312.78-(4.97+2 2020-07-17 …
计算23-16+13413+38-41359+23-4938+15+5812+35+3101-38 2020-07-26 …
(2010•淮安)观察下列各式:1×2=13(1×2×3−0×1×2),2×3=13(2×3×4−1 2020-11-12 …
(2010•淮安)观察下列各式:1×2=13(1×2×3−0×1×2),2×3=13(2×3×4−1 2020-11-12 …