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问题: 200+500/(1+6%)^1+300/((1+6%)^2+200/((1+6%)^3

=1106.62

问1:请列出详细的计算步骤?
2.考试时对算除一次方二次方三次方的决窍是?

解答:

本题的如下方法之诀窍就在于,将乘除运算减少到总共只要三次:
200+[500+(300+200/1.06)/1.06]/1.06
=200+[500+(300+188.67924)/1.06]/1.06
=200+[500+488.67924/1.06]/1.06
200+[500+461.01815]/1.06
=200+961.01815/1.06
=200+906.62089
=1106.62089
≈1106.62