题目内容
(2012?民乐县模拟)用简便方法计算(写出简算过程)
①(
+
+
)×12
②18.93-6
-3
③163×
-0.75×62-75%
④7
÷
+1
×2
.
①(
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 6 |
②18.93-6
| 5 |
| 8 |
| 3 |
| 8 |
③163×
| 3 |
| 4 |
④7
| 5 |
| 12 |
| 3 |
| 5 |
| 2 |
| 3 |
| 7 |
| 12 |
分析:①根据数字特点,运用乘法分配律的逆运算简算;
②运用减法的性质简算;
③把分数、百分数化为小数,运用乘法分配律的逆运算简算;
④把除法改为乘法,运用乘法分配律的逆运算简算.
②运用减法的性质简算;
③把分数、百分数化为小数,运用乘法分配律的逆运算简算;
④把除法改为乘法,运用乘法分配律的逆运算简算.
解答:解:①(
+
+
)×12,
=
×12+
×12+
×12,
=4+3+2,
=9;
②18.93-6
-3
,
=18.93-(6
+3
),
=18.93-10,
=8.93;
③163×
-0.75×62-75%,
=163×0.75-0.75×62-0.75,
=(163-62-1)×0.75,
=100×0.75,
=75;
④7
÷
+1
×2
,
=7
×
+
×2
,
=(7
+2
)×
,
=10×
,
=
.
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 6 |
=
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 6 |
=4+3+2,
=9;
②18.93-6
| 5 |
| 8 |
| 3 |
| 8 |
=18.93-(6
| 5 |
| 8 |
| 3 |
| 8 |
=18.93-10,
=8.93;
③163×
| 3 |
| 4 |
=163×0.75-0.75×62-0.75,
=(163-62-1)×0.75,
=100×0.75,
=75;
④7
| 5 |
| 12 |
| 3 |
| 5 |
| 2 |
| 3 |
| 7 |
| 12 |
=7
| 5 |
| 12 |
| 5 |
| 3 |
| 5 |
| 3 |
| 7 |
| 12 |
=(7
| 5 |
| 12 |
| 7 |
| 12 |
| 5 |
| 3 |
=10×
| 5 |
| 3 |
=
| 50 |
| 3 |
点评:此题主要考查了四则混合运算的简算,应根据数字特点,运用恰当的运算定律和性质进行简算.
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