试题

题目:
把下列各数分别填在相应的集合里:
-1
1
3
,500%,
22
7
,0.3,0,-1.7,21,-2,1.01001,+6,π
(1)正数集合{                                                      …}
(2)负数集合{                                                      …}
(3)正整数集合{                                                    …}
(4)整数集合{                                                     …}
(5)分数集合{                                                     …}
(6)非负有理数集合{                                               …}
(7)有理数集合{                                                   …}
(8)无理数集合{                                                   …}.
答案
解:(1)正数集合{500%,
22
7
,0.3,21,1.01001,+6,π,…};

(2)负数集合{-1
1
3
,-1.7,-2,…};

(3)正整数集合{500%,21,+6,…};

(4)整数集合{500%,0,21,-2,+6,…};

(5)分数集合{-1
1
3
22
7
,0.3,-1.7,1.01001,…};

(6)非负有理数集合{500%,
22
7
,0.3,0,21,1.01001,+6,…};

(7)有理数集合{-1
1
3
,500%,
22
7
,0.3,0.-1.7,21,-2,1.01001,+6,…};

(8)无理数集合{π,…}.
解:(1)正数集合{500%,
22
7
,0.3,21,1.01001,+6,π,…};

(2)负数集合{-1
1
3
,-1.7,-2,…};

(3)正整数集合{500%,21,+6,…};

(4)整数集合{500%,0,21,-2,+6,…};

(5)分数集合{-1
1
3
22
7
,0.3,-1.7,1.01001,…};

(6)非负有理数集合{500%,
22
7
,0.3,0,21,1.01001,+6,…};

(7)有理数集合{-1
1
3
,500%,
22
7
,0.3,0.-1.7,21,-2,1.01001,+6,…};

(8)无理数集合{π,…}.
考点梳理
实数.
(1)根据正数的意义找出后填上即可;
(2)根据负数的意义找出后填上即可;
(3)找出正数,再找出整数填上后即可;
(4)整数包括正整数、0、负整数,填上即可;
(5)分数包括分数,有限小数,无限循环小数,选出后填上即可;
(6)非负有理数包括正有理数和0,找出后填上即可;
(7)有理数包括正有理数、0和负有理数,选出填上即可;
(4)无理数是指无限不循环小数,选出填上即可.
本题考查了正数、负数,有理数等知识点,注意:①整数包括正整数、0、负整数,②分数包括分数,有限小数,无限循环小数,③非负有理数包括正有理数和0,④有理数包括正有理数、0和负有理数,⑤无理数是指无限不循环小数.
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