0.279×258+0.742×279
13÷28+11÷27+15÷28+38÷27.
解:(1)0.279×258+0.742×279,
=279×0.258+0.742×289,
=279×(0.258+0.742),
=279×1,
=279;
(2)13÷28+11÷27+15÷28+38÷27,
=
,
=(
)+(
),
=1+
,
=2
.
分析:(1)0.279×258+0.742×279,根据积的变化规律将原式转化为:279×0.258+0.742×289,再运用乘法分配律进行简算;
(2)13÷28+11÷27+15÷28+38÷27,首先用分数表示两个数的商,将原式转化为:
,再运用加法交换律和结合律进行简算.
点评:此题考查的目的是使学生运用“转化”,达到简算的目的.