题目内容
| 下面各题,怎样算简便就怎样算 ( | ||
| 2008× | ||
| ( | 5-3× |
解:(1)(
-
)×
,
=
×
-
×
,
=1-
,
=
;
(2)
×
+
×
,
=
×(
+
),
=
1,
=
;
(3)
×19+
,
=
×(19+1),
=
×20,
=13;
(4)
×
×13×11,
=(
×11)×(
×13),
=10×1,
=10;
(5)
×
+
×
-
,
=
×(
+
-1),
=
×1,
=
;
(6)2008×
,
=(2007+1)×
,
=2007×
+1×
,
=2006+
,
=2006
;
(7)(
+
)×7×9,
=(
+
)×(7×9),
=(
×7×9)+(
×9×7),
=(4×9)+(2×7),
=36+14,
=50;
(8)5-3×
+
,
=5-
+
,
=5-(
-
),
=5-
,
=2
;
(9)
-(
-
+
),
=
-
+
-
,
=(1
+
)-(
+
),
=2-1,
=1.
分析:(1)(2)(3)(5)运用乘法分配律简算;
(4)运用乘法交换律和结合律简算;
(6)先把2008分解成2007+1,再运用乘法分配律简算;
(7)先把7×9结合在一起,再运用乘法分配律简算;
(8)先算乘法,再根据加法结合律简算;
(9)运用加法结合律和减法的性质简算.
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.
=
=1-
=
(2)
=
=
=
(3)
=
=
=13;
(4)
=(
=10×1,
=10;
(5)
=
=
=
(6)2008×
=(2007+1)×
=2007×
=2006+
=2006
(7)(
=(
=(
=(4×9)+(2×7),
=36+14,
=50;
(8)5-3×
=5-
=5-(
=5-
=2
(9)
=
=(1
=2-1,
=1.
分析:(1)(2)(3)(5)运用乘法分配律简算;
(4)运用乘法交换律和结合律简算;
(6)先把2008分解成2007+1,再运用乘法分配律简算;
(7)先把7×9结合在一起,再运用乘法分配律简算;
(8)先算乘法,再根据加法结合律简算;
(9)运用加法结合律和减法的性质简算.
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.
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