解:(1)42.5-45÷18×2.5
=42.5-2.5×2.5,
=42.5-6.25,
=36.25;
(2)6.54+
+3.46+
,
=(6.54+3.46)+(
+
),
=10+1,
=11;
(3)(
+
+
)×24
=
×24+
×24+
×24,
=12+8+6,
=26;
(4)(
-
×
)÷
,
=(
-
)÷
,
=0÷
,
=0;
(5)2.5×12.5×40×0.8,
=(2.5×40)×(12.5×0.8),
=100×10,
=1000;
(6)98.9×99+98.9
=(99+1)×98.9,
=100×98.9,
=9890.
分析:(1)根據(jù)小數(shù)四則混合運(yùn)算的運(yùn)算順序進(jìn)行計(jì)算即可;
(2)根據(jù)加法結(jié)合律,可把算式改寫(xiě)為(6.54+3.46)+(
+
)進(jìn)行計(jì)算比較簡(jiǎn)便;
(3)根據(jù)算式的特點(diǎn)可利用乘法分配律進(jìn)行計(jì)算即可;
(4)直接按照分?jǐn)?shù)四則混合運(yùn)算的運(yùn)算順序進(jìn)行計(jì)算即可;
(5)根據(jù)乘法交換律,可交換12.5與40的位置,然后把算式改寫(xiě)為(2.5×40)×(12.5×0.8)進(jìn)行計(jì)算即可;
(6)可根據(jù)乘法分配律進(jìn)行計(jì)算.
點(diǎn)評(píng):當(dāng)算式中同時(shí)含有分?jǐn)?shù)與小數(shù)時(shí),要根據(jù)式中數(shù)據(jù)的特點(diǎn)靈活將它們互化后再進(jìn)行計(jì)算.