解:(1)1080+270÷18-864,
=1080+15-864,
=1095-864,
=231;
(2)7.54+
+2.46+
,
=(7.54+2.46)+(
+
),
=10+4,
=14;
(3)(2.4-
)÷0.625+
,
=(
-
)×
+
,
=
×
+
,
=
+
,
=
;
(4)2.5×12.5×40×0.8,
=(2.5×40)×(12.5×0.8),
=100×10,
=1000;
(5)6-
÷
-
,
=6-
-
,
=6-(
+
),
=6-2,
=4;
(6)
,
=(
-
+
)×
,
=
×
-
×
+
×
,
=6-
+7,
=5
+7,
=12
.
分析:(1)先算除法,再算加法,最后算減法;
(2)根據(jù)加法交換律和結(jié)合律簡(jiǎn)算;
(3)先算小括號(hào)里面的減法,再算括號(hào)外的除法,最后算括號(hào)外的加法;
(4)根據(jù)乘法交換律和結(jié)合律簡(jiǎn)算;
(5)先算除法,再根據(jù)減法的性質(zhì)簡(jiǎn)算;
(6)先把除法變成乘法,再運(yùn)用乘法分配律簡(jiǎn)算.
點(diǎn)評(píng):本題考查了四則混合運(yùn)算,注意運(yùn)算順序和運(yùn)算法則,靈活運(yùn)用所學(xué)的運(yùn)算定律進(jìn)行簡(jiǎn)便計(jì)算.