题目内容

13.把下列个数填入它们所在的数集里:
$\frac{2}{3}$,-$\frac{2}{21}$,0,-7$\frac{1}{2}$,8,-2.25%,-3.8,0.101001,-2009.
正数集合:{$\frac{2}{3}$,8,0.101001…};负数集合:{-$\frac{2}{21}$,-7$\frac{1}{2}$,-2.25%,-3.8,-2009…};
整数集合:{0,8,-2009…};负分数集合:{-$\frac{2}{21}$,-7$\frac{1}{2}$,-2.25%,-3.8…}.

分析 按照有理数的分类填写:有理数$\left\{\begin{array}{l}整数\left\{\begin{array}{l}正整数\\ 0\\ 负整数\end{array}\right.\\ 分数\left\{\begin{array}{l}正分数\\ 负分数\end{array}\right.\end{array}\right.$.

解答 解:正数集合:{$\frac{2}{3}$,8,0.101001};
负数集合:{-$\frac{2}{21}$,-7$\frac{1}{2}$,-2.25%,-3.8,-2009}
整数集合:{0,8,-2009};
负分数集合:{-$\frac{2}{21}$,-7$\frac{1}{2}$,-2.25%,-3.8};
故答案为:$\frac{2}{3}$,8,0.101001;-$\frac{2}{21}$,-7$\frac{1}{2}$,-2.25%,-3.8,-2009;0,8,-2009;-$\frac{2}{21}$,-7$\frac{1}{2}$,-2.25%,-3.8,-2009.

点评 本题考查了有理数,认真掌握正数、负数、整数、分数、正有理数、负有理数、非负数的定义与特点,注意整数和正数的区别,注意0是整数,但不是正数.

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