(1)24×

(2)

(3)0.374×48+0.62×37.4-3.74
(4)0.125×
+
×8.25+12.5%(5)
÷[(
+
)×
].解:(1)24×
,=24×
+24×
-24×
,=18+20-16,
=38-16,
=22;
(2)
,=[
×
+
]÷0.5,=[
+
]÷0.5,=
÷0.5,=1;
(3)0.374×48+0.62×37.4-3.74,
=3.74×4.8+6.2×3.74-3.74×1,
=3.74×(4.8+6.2-1),
=3.74×10,
=37.4;
(4)0.125×
+
×8.25+12.5%,=0.125×(0.75+8.25+1),
=0.125×10,
=12.5;
(5)
÷[(
+
)×
],=
÷[
×
],=
÷
,=3.
分析:(1)运用乘法分配律简算;
(2)先算小括号里面的减法,再算中括号里面的乘法,然后算中括号里面的加法,最后算括号外的除法;
(3)先根据积不变规律,把算式变成三个含有因数3.74乘法算式的和,再运用乘法分配律简算;
(4)运用乘法分配律简算;
(5)先算小括号里面的加法,再算中括号里面的乘法,最后算括号外的除法.
点评:此题是考查四则混合运算,要仔细观察算式的特点,灵活运用一些定律进行简便计算.