题目内容
令a=
.若将a化成小数,则a的百分位数字是______.
| 11×65+13×66+15×67+17×68+19×69+21×70+23×71 |
| 11×64+13×65+15×66+17×67+19×68+21×69+23×70 |
a=
=
=1+
所以,1+
<a<1+
所以,1+
<a<1+
,即:1.0143<a<1.0157.
所以a的百分位数字是1.
故答案为:1
| 11×65+13×66+15×67+17×68+19×69+21×70+23×71 |
| 11×64+13×65+15×66+17×67+19×68+21×69+23×70 |
=
| 11×64+13×65+15×66+17×67+19×68+21×69+23×70+11+13+15+17+19+21+23 |
| 11×64+13×65+15×66+17×67+19×68+21×69+23×70 |
=1+
| 11+13+15+17+19+21+23 |
| 11×64+13×65+15×66+17×67+19×68+21×69+23×70 |
所以,1+
| 11+13+15+17+19+21+23 |
| (11+13+15+17+19+21+23)×70 |
| 11+13+15+17+19+21+23 |
| (11+13+15+17+19+21+23)×64 |
所以,1+
| 1 |
| 70 |
| 1 |
| 64 |
所以a的百分位数字是1.
故答案为:1
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