Question

1.089X160.9-6.9X10.89,简便运算

Answer 1

1.089×160.9-6.09×10.89
=1.089×160.9-6.09×（10×1.089）
=1.089×160.9-6.09×10×1.089
=1.089×160.9-60.9×1.089
=1.089×（160.9-60.9）
=1.089×100
=108.9
题目有点错误，我稍微改动了一下

Answer 2

回答：
1.089×160.9-6.9×10.89
=10.89×16.09-6.9×10.89
=10.89×（16.09-6.9）
=10.89×9.19
=（10+0.89）×9.19
=91.9+0.89×9.19
=91.9+（1-0.1-0.01）×9.19
=91.9+9.19-0.919-0.0919
=101.09-1+0.081-0.1+0.0081
=100.171-0.1+0.0081
=100.071+0.0081
=100.0791
运用了乘法分配律

Answer 3

1.089*(160.9-69)=
1.089*91.9=100.0791