Question

22.7x8.9+27x0.11的简便运算是什么？

Answer 1

=22.7×(9-0.1)+3×9×0.11
=22.7×9+9×0.33-2.27
=9×(22.7+0.33)-2.27
=9×23.03-2.27
=207.27-2.27
=205

Answer 2

是不是抄错了题目？22.7应该是2.7对吗？
如果是的话可以像下面这样进行简便运算。
2.7×8.9+27×0.11
=2.7×8.9+2.7×1.1
=2.7×(8.9+1.1)
=2.7×10
=27

Answer 3

可以运用运算的分配律、交换律、结合律来实现简便计算。
22.7×8.9+27×0.11
=(20+2.7)×8.9+2.7×1.1
=20×8.9+2.7×8.9+2.7×1.1
=2.7×(8.9+1.1)+178
=2.7×10+178
=27+178
=205

Answer 4

22.7×8.9+27×0.11
=22.7×(10-1-0.1)+27×(0.1+0.01)
=227-22.7-2.27+2.7+0.27
=227-(22.7-2.7)-(2.27-0.27)
=227-20-2
205

Answer 5

依题意可得，
22.7×8.9+27×0.11
=22.7×(10-1.1)+27×0.11
=22.7×10-22.7×1.1+27×0.11
=227-22.7×1.1+2.7×1.1
=227-(22.7-2.7)×1.1
=227-20×1.1
=227-22
=205