题目内容
（2013?成都）已知A=
×9.86，B=
×8.75，A与B中较大的是
| 9.88 |
| 9.87 |
| 8.77 |
| 8.76 |
A
A
．分析：通过数字拆分，分别求出易于比较的两个数，即9.87-
和8.76-
，解决问题．
| 1 |
| 98700 |
| 1 |
| 87600 |
解答：解：
×9.86
=
×9.86
=（1+
）×9.86
=9.86+
×9.86
=9.86+
=9.86+
=9.86+0.01-
=9.87-
×8.75
=
×8.75
=（1+
）×8.75
=8.75+
=8.75+
=8.75+0.01-
=8.76-
因此9.87-
＞8.76-
所以A＞B．
故答案为：A．
| 9.88 |
| 9.87 |
=
| 9.87+0.01 |
| 9.87 |
=（1+
| 1 |
| 987 |
=9.86+
| 1 |
| 987 |
=9.86+
| 986 |
| 98700 |
=9.86+
| 987-1 |
| 98700 |
=9.86+0.01-
| 1 |
| 98700 |
=9.87-
| 1 |
| 98700 |
| 8.77 |
| 8.76 |
=
| 8.76+0.01 |
| 8.76 |
=（1+
| 1 |
| 876 |
=8.75+
| 875 |
| 87600 |
=8.75+
| 876-1 |
| 87600 |
=8.75+0.01-
| 1 |
| 87600 |
=8.76-
| 1 |
| 87600 |
因此9.87-
| 1 |
| 98700 |
| 1 |
| 87600 |
所以A＞B．
故答案为：A．
点评：当两个分数不好比较时，应化为易于比较的两个数，再进行比较．
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