题目内容
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分析:(1)和(2)可以根据乘法分配律进行简算;
(3)根据乘法交换律和结合律进行简算;
(4)先计算加法,再计算除法;
(5)先计算乘法和除法,再计算加法;
(6)先计算小括号里面的减法,再计算中括号里面的除法,最后计算括号外面的除法.
(3)根据乘法交换律和结合律进行简算;
(4)先计算加法,再计算除法;
(5)先计算乘法和除法,再计算加法;
(6)先计算小括号里面的减法,再计算中括号里面的除法,最后计算括号外面的除法.
解答:解:
(1)(
-
+
)÷
,
=(
-
+
)×36,
=
×36-
×36+
×36,
=34-27+6,
=7+6,
=13;
(2)
÷8+
×
,
=
×
+
×
,
=(
+
)×
,
=1×
,
=
;
(3)
×12×
×16,
=(
×16)×(
×12),
=5+9,
=14;
(4)
÷(
+
),
=
÷
,
=
×
,
=
;
(5)
×
+
÷
,
=
+
,
=
;
(6)
÷[(
-
)÷
],
=
÷[
÷
],
=
÷
,
=4.
(1)(
| 17 |
| 18 |
| 3 |
| 4 |
| 1 |
| 6 |
| 1 |
| 36 |
=(
| 17 |
| 18 |
| 3 |
| 4 |
| 1 |
| 6 |
=
| 17 |
| 18 |
| 3 |
| 4 |
| 1 |
| 6 |
=34-27+6,
=7+6,
=13;
(2)
| 2 |
| 3 |
| 1 |
| 3 |
| 1 |
| 8 |
=
| 2 |
| 3 |
| 1 |
| 8 |
| 1 |
| 3 |
| 1 |
| 8 |
=(
| 2 |
| 3 |
| 1 |
| 3 |
| 1 |
| 8 |
=1×
| 1 |
| 8 |
=
| 1 |
| 8 |
(3)
| 5 |
| 16 |
| 3 |
| 4 |
=(
| 5 |
| 16 |
| 3 |
| 4 |
=5+9,
=14;
(4)
| 9 |
| 16 |
| 3 |
| 8 |
| 1 |
| 16 |
=
| 9 |
| 16 |
| 7 |
| 16 |
=
| 9 |
| 16 |
| 16 |
| 7 |
=
| 9 |
| 7 |
(5)
| 4 |
| 5 |
| 5 |
| 6 |
| 2 |
| 5 |
| 3 |
| 5 |
=
| 2 |
| 3 |
| 2 |
| 3 |
=
| 4 |
| 3 |
(6)
| 4 |
| 5 |
| 5 |
| 8 |
| 1 |
| 2 |
| 5 |
| 8 |
=
| 4 |
| 5 |
| 1 |
| 8 |
| 5 |
| 8 |
=
| 4 |
| 5 |
| 1 |
| 5 |
=4.
点评:本题主要考查分数的混合运算,找准合适的运算定律进行简算,不能简算的要根据运算顺序进行计算.
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