题目内容
(2012?商丘模拟)用简便方法计算.
①23.4×16-23.4×6
②20
-5.75-14.25
③1.25×0.25×32
④56×(
-
+
)
①23.4×16-23.4×6
②20
| 5 |
| 6 |
③1.25×0.25×32
④56×(
| 3 |
| 7 |
| 3 |
| 8 |
| 1 |
| 28 |
分析:①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32看作8×4,运用乘法交换律与结合律简算;
④运用乘法分配律简算.
②运用减法的性质简算;
③把32看作8×4,运用乘法交换律与结合律简算;
④运用乘法分配律简算.
解答:解:①23.4×16-23.4×6,
=(16-6)×23.4,
=10×23.4,
=234;
②20
-5.75-14.25,
=20
-(5.75+14.25),
=20
-20,
=
;
③1.25×0.25×32,
=1.25×0.25×8×4,
=1.25×8×(0.25×4),
=10×1,
=10;
④56×(
-
+
),
=56×
-56×
+56×
,
=24-21+2,
=5.
=(16-6)×23.4,
=10×23.4,
=234;
②20
| 5 |
| 6 |
=20
| 5 |
| 6 |
=20
| 5 |
| 6 |
=
| 5 |
| 6 |
③1.25×0.25×32,
=1.25×0.25×8×4,
=1.25×8×(0.25×4),
=10×1,
=10;
④56×(
| 3 |
| 7 |
| 3 |
| 8 |
| 1 |
| 28 |
=56×
| 3 |
| 7 |
| 3 |
| 8 |
| 1 |
| 28 |
=24-21+2,
=5.
点评:此题是考查四则混合运算的简算,要仔细观察算式的特点,灵活运用一些定律或性质进行简便计算.
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