解:(1)1.25×4×0.6×0.8×2.5,
=(1.25×0.8)×(2.5×4)×0.6,
=1×10×0.6,
=6;
(2)
×[2
+(
-
)÷
],
=
[2
+(
)÷
],
=
[2
+(
)×3],
=
×[2
+
],
=
×[2
+
],
=
,
=1;
(3)4
+4.2×7
+1
×4
,
=4.2+4.2×7
+1
×4.2,
=4.2×(1+7
),
=4.2×10,
=42;
(4)3
×
(4.5-0.625
)÷30%,
=
÷(4.5-
)×
,
=
÷(4.5-2)×
,
=
×
×
,
=(
)×
,
=14×
,
=
,
=5
;
(5)1
:1
=X:
,
1
x=1
×
,
1
x=
,
x×
=
,
x=
(
),
x=
,
x=
;
(6)5×0.36-0.75X=
,
1.8-0.75x=0.6,
0.75x=1.2,
x×
=1.2×
,
x=1.6;
分析:(1)运用乘法的结合律、交换律进行计算;
(2)(4)按照分数的四则混合运算的顺序进行计算,先算括号内部的,在计算括号外面的;
(3)本题运用乘法的分配律进行计算,使计算更加简便.
(5)解比例,根据比例的基本性质进行解答.
(6)解方程,依据等式的基本性质进行解答.
点评:此题考查了运算定律与简便运算,四则混合运算.注意运算顺序和运算法则,灵活运用所学的运算定律进行简便计算.