Question

(1+1/2)(1+1/4)(1+1/6)(1+1/8)(1+1/10)×(1-1/3)(1-1/5)(1-1/7)(1-1/9)=?要准确数字

Answer 1

(1+1/2)(1+1/4)(1+1/6)(1+1/8)(1+1/10)×(1-1/3)(1-1/5)(1-1/7)(1-1/9)
= 3/2 * 5/4 * 7/6 * 9/8 * 11/10 * 2/3 * 4/5 * 6/7 * 8/9 ......化简每个括号
= 3/2 * 2/3 * 5/4 * 4/5 * 7/6 * 6/7 * 9/8 * 8/9 * 11/10 ......利用乘法交换率
= (3/2 * 2/3) * (5/4 * 4/5) * (7/6 * 6/7) * (9/8 * 8/9) * 11/10 ......利用乘法结合率
= 1 * 1 * 1 * 1 * 11/10
= 11/10 ----(即1.1)

Answer 2

10分之11

Answer 3

(1+1/2)(1+1/4)(1+1/6)(1+1/8)(1+1/10)×(1-1/3)(1-1/5)(1-1/7)(1-1/9)
=（3/2×2/3）×（5/4×4/5）×（7/6×6/7）×（9/8×8/9）×11/10
=1×11/10
=11/10

Answer 4

(1+1/2)(1+1/4)(1+1/6)(1+1/8)(1+1/10)×(1-1/3)(1-1/5)(1-1/7)(1-1/9)
=(3/2)×(5/4)×(7/6)×(9/8)×(11/10)×(2/3)×(4/5)×(6/7)×(8/9)

Answer 5

=(1+1/2)(1-1/3)(1+1/4)(1-1/5)(1+1/6)(1-1/7)(1+1/8)(1-1/9)(1+1/10)
=3/2×2/3×5/4×4/5……×11/10
=11/10