17.把下列各数填在相应阿德大括号里
-12,0,0.04,-2.7,$\frac{6}{2}$,-|-$\frac{4}{5}$|,|-3|,-23,$\frac{π}{3}$,-15%,3.12578,4.202002000200002…
整数集合{-12,0,$\frac{6}{2}$,|-3|,-23…}
负分数集合{-2.7,-|-$\frac{4}{5}$|,-15%…}
负有理数集合{-12,-2.7,-|-$\frac{4}{5}$|,-23,-15%…}
非负整数集合{0,$\frac{6}{2}$,|-3|…}.
-12,0,0.04,-2.7,$\frac{6}{2}$,-|-$\frac{4}{5}$|,|-3|,-23,$\frac{π}{3}$,-15%,3.12578,4.202002000200002…
整数集合{-12,0,$\frac{6}{2}$,|-3|,-23…}
负分数集合{-2.7,-|-$\frac{4}{5}$|,-15%…}
负有理数集合{-12,-2.7,-|-$\frac{4}{5}$|,-23,-15%…}
非负整数集合{0,$\frac{6}{2}$,|-3|…}.
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{-12,0,$\frac{6}{2}$,|-3|,-23…}
负分数集合{-2.7,-|-$\frac{4}{5}$|,-15%…}
负有理数集合{-12,-2.7,-|-$\frac{4}{5}$|,-23,-15%…}
非负整数集合{ 0,$\frac{6}{2}$,|-3|…}.
故答案为:{-12,0,$\frac{6}{2}$,|-3|,-23…};{-2.7,-|-$\frac{4}{5}$|,-15%…};{-12,-2.7,-|-$\frac{4}{5}$|,-23,-15%…};非负整数集合{ 0,$\frac{6}{2}$,|-3|…}.
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.