题目内容
将算式0.
+0.
-0.
×0.
+0.
÷0.
的计算结果用循环小数表示是多少?
| ? |
| 3 |
| ? |
| 6 |
| ? |
| 3 |
| ? |
| 6 |
| ? |
| 3 |
| ? |
| 6 |
考点:小数的巧算
专题:计算问题(巧算速算)
分析:先把春循环小数化成分数,计算出结果后,再化成循环小数.
解答:
解:0.
+0.
-0.
×0.
+0.
÷0.
=
+
-
×
+
÷
=
+
-
×
+
×
=
+
-
×
+
×
=1-
+
=
=1.2
| ? |
| 3 |
| ? |
| 6 |
| ? |
| 3 |
| ? |
| 6 |
| ? |
| 3 |
| ? |
| 6 |
=
| 3 |
| 9 |
| 6 |
| 9 |
| 3 |
| 9 |
| 6 |
| 9 |
| 3 |
| 9 |
| 6 |
| 9 |
=
| 3 |
| 9 |
| 6 |
| 9 |
| 3 |
| 9 |
| 6 |
| 9 |
| 3 |
| 9 |
| 9 |
| 6 |
=
| 1 |
| 3 |
| 2 |
| 3 |
| 1 |
| 3 |
| 2 |
| 3 |
| 1 |
| 3 |
| 3 |
| 2 |
=1-
| 2 |
| 9 |
| 1 |
| 2 |
=
| 23 |
| 18 |
=1.2
| ? |
| 7 |
点评:纯循环小数化成分数的方法:纯循环小数的分母都是9,9的个数与循环节的位数相同,分子就是循环节,最后要化简.
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