题目内容
计算下面各题,能简算的要简算:
(1)(
+
)×
(2)
-
+
-
(3)
÷(
+
)
(4)5÷
-
÷5
(5)
×
+
÷
(6)(
+
)×3+
.
(1)(
| 5 |
| 6 |
| 3 |
| 4 |
| 12 |
| 21 |
(2)
| 4 |
| 11 |
| 1 |
| 7 |
| 9 |
| 11 |
| 6 |
| 7 |
(3)
| 3 |
| 14 |
| 6 |
| 7 |
| 4 |
| 21 |
(4)5÷
| 5 |
| 6 |
| 5 |
| 6 |
(5)
| 5 |
| 9 |
| 7 |
| 8 |
| 4 |
| 9 |
| 8 |
| 7 |
(6)(
| 5 |
| 7 |
| 4 |
| 17 |
| 5 |
| 17 |
考点:分数的四则混合运算,运算定律与简便运算
专题:运算顺序及法则,运算定律及简算
分析:(1)运用乘法的分配律进行简算;
(2)运用加法的交换律、结合律,减法的性质进行简算;
(3)先算小括号里的加法,再算括号外的除法;
(4)先算除法,再算减法;
(5)把除以
化成乘以
,再运用乘法的分配律进行简算;
(6)先运用乘法的分配律进行简算,再运用加法的结合律进行简算.
(2)运用加法的交换律、结合律,减法的性质进行简算;
(3)先算小括号里的加法,再算括号外的除法;
(4)先算除法,再算减法;
(5)把除以
| 8 |
| 7 |
| 7 |
| 8 |
(6)先运用乘法的分配律进行简算,再运用加法的结合律进行简算.
解答:
解:(1)(
+
)×
=
×
+
×
=
+
=
;
(2)
-
+
-
=(
+
)-(
+
)
=
-1
=
;
(3)
÷(
+
)
=
÷
=
;
(4)5÷
-
÷5
=6-
=5
;
(5)
×
+
÷
=
×
+
×
=(
+
)×
=1×
=
;
(6)(
+
)×3+
=
×3+
×3+
=
+
+
=
+(
+
)
=
+1
=
.
| 5 |
| 6 |
| 3 |
| 4 |
| 12 |
| 21 |
=
| 5 |
| 6 |
| 12 |
| 21 |
| 3 |
| 4 |
| 12 |
| 21 |
=
| 10 |
| 21 |
| 9 |
| 21 |
=
| 19 |
| 21 |
(2)
| 4 |
| 11 |
| 1 |
| 7 |
| 9 |
| 11 |
| 6 |
| 7 |
=(
| 4 |
| 11 |
| 9 |
| 11 |
| 1 |
| 7 |
| 6 |
| 7 |
=
| 13 |
| 11 |
=
| 2 |
| 11 |
(3)
| 3 |
| 14 |
| 6 |
| 7 |
| 4 |
| 21 |
=
| 3 |
| 14 |
| 22 |
| 21 |
=
| 9 |
| 44 |
(4)5÷
| 5 |
| 6 |
| 5 |
| 6 |
=6-
| 1 |
| 6 |
=5
| 5 |
| 6 |
(5)
| 5 |
| 9 |
| 7 |
| 8 |
| 4 |
| 9 |
| 8 |
| 7 |
=
| 5 |
| 9 |
| 7 |
| 8 |
| 4 |
| 9 |
| 7 |
| 8 |
=(
| 5 |
| 9 |
| 4 |
| 9 |
| 7 |
| 8 |
=1×
| 7 |
| 8 |
=
| 7 |
| 8 |
(6)(
| 5 |
| 7 |
| 4 |
| 17 |
| 5 |
| 17 |
=
| 5 |
| 7 |
| 4 |
| 17 |
| 5 |
| 17 |
=
| 15 |
| 7 |
| 12 |
| 17 |
| 5 |
| 17 |
=
| 15 |
| 7 |
| 12 |
| 17 |
| 5 |
| 17 |
=
| 15 |
| 7 |
=
| 22 |
| 7 |
点评:此题主要考查了分数四则混合运算,注意运算顺序,注意运算定律的灵活应用.
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