题目内容
怎样简便就怎样计算.
| 91-10÷0.25÷4 | |
| 35÷[ | |
| 41×101 | 5× |
| 8.5-(5.6+4.8)÷1.3 | 12×( |
解:
(1)
-(
+
),
=
-
-
,
=1-
,
=
;
(2)91-10÷0.25÷4,
=91-10÷(0.25×4),
=91-10÷1,
=91-10,
=81;
(3)
×
+
÷
,
=
×
+
×
,
=(
+
)×
,
=1×
,
=
;
(4)35÷[
×(1-
)],
=35÷[
×
],
=35÷
,
=56;
(5)41×101,
=41×(100+1),
=41×100+41,
=4100+41,
=4141;
(6)5×
×
×
,
=(5×
)×(
×
),
=2×
,
=
;
(7)8.5-(5.6+4.8)÷1.3,
=8.5-10.4÷1.3,
=8.5-8,
=0.5;
(8)12×(
-
+
),
=12×
-12×
+12×
,
=3-4+2,
=1.
分析:(1)根据连减的性质进行计算;
(2)根据连除的性质进行计算;
(3)根据乘法分配律进行计算;
(4)先算减法,再算乘法,最后算除法;
(5)根据乘法分配律进行计算;
(6)根据乘法交换律和结合律进行计算;
(7)先算加法,再算除法,最后算减法;
(8)根据乘法分配律进行计算.
点评: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律简便计算.
(1)
=
=1-
=
(2)91-10÷0.25÷4,
=91-10÷(0.25×4),
=91-10÷1,
=91-10,
=81;
(3)
=
=(
=1×
=
(4)35÷[
=35÷[
=35÷
=56;
(5)41×101,
=41×(100+1),
=41×100+41,
=4100+41,
=4141;
(6)5×
=(5×
=2×
=
(7)8.5-(5.6+4.8)÷1.3,
=8.5-10.4÷1.3,
=8.5-8,
=0.5;
(8)12×(
=12×
=3-4+2,
=1.
分析:(1)根据连减的性质进行计算;
(2)根据连除的性质进行计算;
(3)根据乘法分配律进行计算;
(4)先算减法,再算乘法,最后算除法;
(5)根据乘法分配律进行计算;
(6)根据乘法交换律和结合律进行计算;
(7)先算加法,再算除法,最后算减法;
(8)根据乘法分配律进行计算.
点评: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律简便计算.
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