题目内容
计算(结果用小数表示):
(1)0.
3
+0.
5
+0.
1
= ;
(2)0.
+0.
2
= .
(1)0.
| . |
| 1 |
| . |
| 5 |
| . |
| 3 |
| . |
| 1 |
| . |
| 5 |
| . |
| 3 |
(2)0.
| . |
| 1 |
| . |
| 2 |
| . |
| 1 |
| . |
| 2 |
考点:循环小数及其分类
专题:运算顺序及法则
分析:先把纯循环小数化为分数,然后按照分数加法的计算法则,进行计算,最后化为小数即可.
解答:
解:(1)0.
3
+0.
5
+0.
1
=
+
+
=1
(2)0.
+0.
2
=
+
=
+
=
=0.
4333
;
故答案为:1,0.
4333
.
| . |
| 1 |
| . |
| 5 |
| . |
| 3 |
| . |
| 1 |
| . |
| 5 |
| . |
| 3 |
=
| 135 |
| 999 |
| 351 |
| 999 |
| 513 |
| 999 |
=1
(2)0.
| . |
| 1 |
| . |
| 2 |
| . |
| 1 |
| . |
| 2 |
=
| 12 |
| 99 |
| 122 |
| 999 |
=
| 1332 |
| 10989 |
| 1342 |
| 10989 |
=
| 2674 |
| 10989 |
=0.
| . |
| 2 |
| . |
| 4 |
故答案为:1,0.
| . |
| 2 |
| . |
| 4 |
点评:明确纯循环小数化分数的方法:纯循环小数化成分数,循环节有几个数字,分母就有几个9,分子是循环节的数字;是解答此题的关键.
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