脱式计算,能简算简算
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脱式计算,能简算简算
脱式计算,能简算简算
脱式计算,能简算简算
100-99+98-97+...+6-5+4-3+2-1
=(100-99)+(98-97)+(96-95)+……+(6-5)+(4-3)+(2-1)
=1×50
=50
1/2+1/6+1/12+1/20+1/30+.+1/72+1/90
= 1/1*2 +1/2*3 +1/3*4 +...+1/8*9 +1/9*10
= (1/1 -1/2)+(1/2 -1/3)+...+(1/8 -1/9)+(1/9 -1/10)
= 1/1 -1/10
= 9/10
很高兴能帮到你,如果觉得好请选为满意答案 ,祝你学习进步 (*^__^*)
(100-99+98-97)+(96-95+94-93)+.........+(4+3-2+1)
=2+2+2+........+2,100个数,每4个一组,共25个2,)
=2×25
=50
=1/(1×2)+1/(2×3)+1/(3×4)+....+1/(9×10)
=1/1-1/2+1/2-1/3+1/3-1/4+.........+1/9-1/10
=1-1/10
=9/10