计算:(1100-1)(199-1)(198-1)…(14-1)(13-1)(12-1)=______.-数学

题目简介

计算:(1100-1)(199-1)(198-1)…(14-1)(13-1)(12-1)=______.-数学

题目详情

计算:(
1
100
-1)(
1
99
-1)(
1
98
-1)…(
1
4
-1)(
1
3
-1)(
1
2
-1)
=______.
题型:填空题难度:中档来源:不详

答案

(class="stub"1
100
-1)(class="stub"1
99
-1)(class="stub"1
98
-1)…(class="stub"1
4
-1)(class="stub"1
3
-1)(class="stub"1
2
-1)

=-class="stub"99
100
×(-class="stub"98
99
)×(-class="stub"97
98
)×…×(-class="stub"1
2

=-class="stub"1
100

故答案为:-class="stub"1
100

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