题目内容
(2012?资中县模拟)
| 用递等式计算,能简算的要简算. 1÷[
|
|
13
| ||||||||||||||||||||
| 3.5×98+3.5×2 | 7.05-4-1.05 |
|
分析:(1)先算小括号内的,再算中括号内,最后算括号外的;
(2)先算乘除,再算加法;
(3)(6)把除法改为乘法,运用乘法分配律简算;
(4)运用乘法分配律的逆运算简算;
(5)运用加法交换律与结合律简算.
(2)先算乘除,再算加法;
(3)(6)把除法改为乘法,运用乘法分配律简算;
(4)运用乘法分配律的逆运算简算;
(5)运用加法交换律与结合律简算.
解答:解:(1)1÷[
×(
-
)],
=1÷[
×
],
=1÷
,
=4;
(2)
×2
+2
÷1
,
=
×
+
×
,
=
+
,
=
;
(3)13
×
+6
÷16,
=13
×
+6
×
,
=(13
+6
)×
,
=20×
,
=
;
(4)3.5×98+3.5×2,
=3.5×(98+2),
=3.5×100,
=350;
(5)7.05-4-1.05,
=(7.05-1.05)-4,
=6-4,
=2;
(6)
×16-8÷
,
=
×16-8×
,
=(16-8)×
,
=2×
,
=
.
| 1 |
| 2 |
| 6 |
| 5 |
| 7 |
| 10 |
=1÷[
| 1 |
| 2 |
| 1 |
| 2 |
=1÷
| 1 |
| 4 |
=4;
(2)
| 5 |
| 8 |
| 2 |
| 3 |
| 1 |
| 3 |
| 1 |
| 3 |
=
| 5 |
| 8 |
| 8 |
| 3 |
| 7 |
| 3 |
| 3 |
| 4 |
=
| 5 |
| 3 |
| 7 |
| 4 |
=
| 41 |
| 12 |
(3)13
| 7 |
| 8 |
| 1 |
| 16 |
| 1 |
| 8 |
=13
| 7 |
| 8 |
| 1 |
| 16 |
| 1 |
| 8 |
| 1 |
| 16 |
=(13
| 7 |
| 8 |
| 1 |
| 8 |
| 1 |
| 16 |
=20×
| 1 |
| 16 |
=
| 5 |
| 4 |
(4)3.5×98+3.5×2,
=3.5×(98+2),
=3.5×100,
=350;
(5)7.05-4-1.05,
=(7.05-1.05)-4,
=6-4,
=2;
(6)
| 8 |
| 17 |
| 17 |
| 8 |
=
| 8 |
| 17 |
| 8 |
| 17 |
=(16-8)×
| 8 |
| 17 |
=2×
| 8 |
| 17 |
=
| 16 |
| 17 |
点评:此题是考查四则混合运算,注意运算顺序,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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