计算：(1−12)×(2−23)×(3−34)×(4−45)×(5−56)×(6−67)×(7−78)×(8−89)×(9−910)的值是．

Question

计算：(1−(1)/(2))×(2−(2)/(3))×(3−(3)/(4))×(4−(4)/(5))×(5−(5)/(6))×(6−(6)/(7))×(7−(7)/(8))×(8−(8)/(9))×(9−(9)/(10))的值是______．

Answer 1

（1-(1)/(2)）×（2-(2)/(3)）×（3-(3)/(4)）×（4-(4)/(5)）×（5-(5)/(6)）×（6-(6)/(7)）×（7-(7)/(8)）×（8-(8)/(9)）×（9-(9)/(10)）
=(1)/(2)×(4)/(3)×(9)/(4)×(16)/(5)×(25)/(6)×(36)/(7)×(49)/(8)×(64)/(9)×(81)/(10)
=36288
故答案为：36288．