解:(1)149+587+51,
=149+51+587,
=200+587,
=787;
(2)85×0.75+15×75%,
=85×0.75+15×0.75,
=(85+15)×0.75,
=100×0.75,
=75;
(3)4×17×125,
=4×125×17,
=500×17,
=8500;
(4)(
+
)×
,
=
×
,
=
;
(5)(
-
)×45,
=
×45-
×45,
=15-9,
=6;
(6)[1-(
×
)]÷
=[1-
]×3,
=1×3-
×3,
=3-
,
=
.
分析:(1)可應(yīng)用加法交換律進(jìn)行計(jì)算即可得到答案;
(2)將算式中的百分?jǐn)?shù)轉(zhuǎn)化成小數(shù),再利用乘法分配律進(jìn)行計(jì)算比較簡(jiǎn)便;
(3)應(yīng)用乘法交換律進(jìn)行計(jì)算比較簡(jiǎn)便;
(4)直接應(yīng)用分?jǐn)?shù)的四則混合運(yùn)算進(jìn)行計(jì)算即可得到答案;
(5)應(yīng)用乘法分配律進(jìn)行計(jì)算比較簡(jiǎn)便;
(6)將算式中的除以
改寫成乘以3,再應(yīng)用乘法分配律進(jìn)行計(jì)算比較簡(jiǎn)便.
點(diǎn)評(píng):此題主要考查的是整數(shù)、分?jǐn)?shù)和小數(shù)的簡(jiǎn)便運(yùn)算.