题目内容

12.将下列各数填在相应的集合里.
-0.8,-28%,7.8,-5,48,0,$\frac{6}{5}$,-π
整数集合:{                                    …};
分数集合:{                                    …};
正数集合:{                                    …};
负数集合:{                                    …};
正整数集合:{                                  …};
有理数集合:{                                  …}.

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:整数集合:{-5,48,0                           …};
分数集合:{-0.8,-28%,7.8,$\frac{6}{5}$ …};
正数集合:{   7.8,48,$\frac{6}{5}$                      …};
负数集合:{-0.8,-28%,-5,-π            …};
正整数集合:{    48                            …};
有理数集合:{-0.8,-28%,7.8,-5,48,0,$\frac{6}{5}$ …}.

点评 本题考查了有理数的分类,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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