题目内容
正确、合理、灵活地计算.
66×
+
-(
-
)
(
+
-
)×4÷
(2-
×
)÷(
+
)
×
+
÷
-
×0.375.
66×
| 4 |
| 65 |
| 11 |
| 12 |
| 5 |
| 8 |
| 3 |
| 8 |
| 1 |
| 12 |
(
| 1 |
| 6 |
| 1 |
| 9 |
| 1 |
| 12 |
| 1 |
| 9 |
(2-
| 3 |
| 4 |
| 4 |
| 5 |
| 1 |
| 12 |
| 4 |
| 15 |
| 6 |
| 11 |
| 3 |
| 8 |
| 7 |
| 11 |
| 8 |
| 3 |
| 2 |
| 11 |
考点:分数的四则混合运算,分数的简便计算
专题:运算顺序及法则
分析:(1)(3)(5)利用乘法分配律简算;
(2)利用减法的性质和加法结合律简算;
(4)先算乘法和加法,再算减法,最后算除法.
(2)利用减法的性质和加法结合律简算;
(4)先算乘法和加法,再算减法,最后算除法.
解答:
解:(1)66×
=65×
+1×
=4+
=4
;
(2)
+
-(
-
)
=
+
+(
-
)
=1+
=1
;
(3)(
+
-
)×4÷
=(
+
-
)×4×9
=
×4×9+
×4×9-
×4×9
=6+4-3
=7;
(4)(2-
×
)÷(
+
)
=(2-
)÷
=
×
=4;
(5)
×
+
÷
-
×0.375
=
×
+
×
-
×0.375
=(
+
-
)×
=1×
=
.
| 4 |
| 65 |
=65×
| 4 |
| 65 |
| 4 |
| 65 |
=4+
| 4 |
| 65 |
=4
| 4 |
| 65 |
(2)
| 11 |
| 12 |
| 5 |
| 8 |
| 3 |
| 8 |
| 1 |
| 12 |
=
| 11 |
| 12 |
| 1 |
| 12 |
| 5 |
| 8 |
| 3 |
| 8 |
=1+
| 1 |
| 4 |
=1
| 1 |
| 4 |
(3)(
| 1 |
| 6 |
| 1 |
| 9 |
| 1 |
| 12 |
| 1 |
| 9 |
=(
| 1 |
| 6 |
| 1 |
| 9 |
| 1 |
| 12 |
=
| 1 |
| 6 |
| 1 |
| 9 |
| 1 |
| 12 |
=6+4-3
=7;
(4)(2-
| 3 |
| 4 |
| 4 |
| 5 |
| 1 |
| 12 |
| 4 |
| 15 |
=(2-
| 3 |
| 5 |
| 7 |
| 20 |
=
| 7 |
| 5 |
| 20 |
| 7 |
=4;
(5)
| 6 |
| 11 |
| 3 |
| 8 |
| 7 |
| 11 |
| 8 |
| 3 |
| 2 |
| 11 |
=
| 6 |
| 11 |
| 3 |
| 8 |
| 7 |
| 11 |
| 3 |
| 8 |
| 2 |
| 11 |
=(
| 6 |
| 11 |
| 7 |
| 11 |
| 2 |
| 11 |
| 3 |
| 8 |
=1×
| 3 |
| 8 |
=
| 3 |
| 8 |
点评:分数混合运算的关键是抓住运算顺序,正确按运算顺序计算,适当利用运算定律简算.
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