1.次の数量を正の数、負の数を使って表しなさい。
(1)0より8小さい数
-8
(2)0より13大きい数
+12
(3)0より2.7大きい数
+2.7
(4)0より1.2小さい数
-1.2
2.次の数において、問いに答えなさい。
\[-3, +\frac{3}{4}, 0, -0.2, 7, -\frac{1}{3}, +9, +1.2, 0.8, -17\]
(1)整数を全て答えなさい。
\[-3, 0, 7, +9, -17\]
(2)正の数を全て答えなさい。
\[+\frac{3}{4}, 7, +9, +1.2, 0.8\]
(3)負の数を全て答えなさい。
\[-3, -0.2, -\frac{1}{3}, -17\]
(4)自然数を全て答えなさい。
\[7, +9\]
3.絶対値が2以上4以下になる整数を答えなさい。
-4, -3, -2, 2, 3, 4
4.次の数の中で、絶対値が最も大きい数を答えなさい。
\[-2, 3, -1.3, 3.1, -\frac{5}{2}, +\frac{5}{3}\]
\[3.1\]
5.次の数の中で、最も小さい数を答えなさい。
\[-2, 3, -1.3, 3.1, -\frac{5}{2}, +\frac{5}{3}\]
\[-\frac{5}{2}\]
6.次の数の大小を不等号を使って表しなさい。
(1)\[+\frac{11}{5}, +\frac{4}{5}\]
\[+\frac{11}{5} > +\frac{4}{5}\]
(2)\[+\frac{1}{4}, -0.5\]
\[+\frac{1}{4} > -0.5\]
(3)\[-7, -6.8\]
\[-7 < -6.8\]
(4)\[-11, 9\]
\[-11 < 9\]
(5)\[-3.6, -4.1\]
\[-3.6 > -4.1\]
(6)\[-4, -7\]
\[-4 > -7\]
(7)\[-0.8, -0.5\]
\[-0.8 < -0.5\]
(8)\[-1.2, -2.6\]
\[-1.2 > -2.6\]
(9)\[-\frac{2}{5}, -\frac{1}{2}\]
\[-\frac{2}{5} > -\frac{1}{2}\]
(10)\[-0.3, -0.7\]
\[-0.3 > -0.7\]
(11)\[-\frac{2}{3}, -\frac{1}{2}\]
\[-\frac{2}{3} < -\frac{1}{2}\]
(12)\[3, -7\]
\[3 > -7\]
(13)\[-12, -10\]
\[-12 < -10\]
(14)\[+\frac{1}{6}, +\frac{1}{5}\]
\[+\frac{1}{6} < +\frac{1}{5}\]
(15)\[-\frac{1}{8}, -\frac{1}{4}\]
\[-\frac{1}{8} > -\frac{1}{4}\]
(16)\[+0.2, +\frac{1}{3}\]
\[+0.2 < +\frac{1}{3}\]
(17)\[-2.1, -\frac{5}{2}\]
\[-2.1 > -\frac{5}{2}\]
(18)\[-\frac{1}{4}, -0.3\]
\[-\frac{1}{4} > -0.3\]
(19)\[+\frac{1}{3}, +\frac{1}{12}\]
\[+\frac{1}{3} > +\frac{1}{12}\]
(20)\[+\frac{6}{5}, -\frac{2}{15}\]
\[+\frac{6}{5} > -\frac{2}{15}\]
(21)\[-\frac{19}{8}, -\frac{12}{5}\]
\[-\frac{19}{8} > -\frac{12}{5}\]
(22)\[-\frac{17}{9}, -1.85\]
\[-\frac{17}{9} < -1.85\]
(23)\[\frac{4}{15}, \frac{1}{7}\]
\[\frac{4}{15} > \frac{1}{7}\]
(24)\[-\frac{7}{13}, \frac{1}{8}\]
\[-\frac{7}{13} < \frac{1}{8}\]
(25)\[-\frac{11}{3}, -\frac{25}{7}\]
\[-\frac{11}{3} < -\frac{25}{7}\]
(26)\[-6.8, -\frac{41}{6}\]
\[-6.8 > -\frac{41}{6}\]
(27)\[+\frac{6}{5}, +\frac{33}{26}\]
\[+\frac{6}{5} < +\frac{33}{26}\]
(28)\[+\frac{7}{4}, -\frac{7}{3}\]
\[+\frac{7}{4} > -\frac{7}{3}\]
(29)\[-\frac{50}{7}, -\frac{64}{9}\]
\[-\frac{50}{7} < -\frac{64}{9}\]
(30)\[-5.7, -\frac{17}{3}\]
\[-5.7 < -\frac{17}{3}\]
7.次の数の大小を不等号を使って表しなさい。
(1)\[+2, 0, -\frac{10}{3}\]
\[-\frac{10}{3} < 0 < +2\]
(2)\[-1.4, -3, +\frac{5}{6}, +2.5\]
\[-3 < -1.4 < +\frac{5}{6} < +2.5\]
(3)\[+6, -4, -7.2\]
\[-7.2 < -4 < +6\]
(4)\[-\frac{2}{5}, 0.3, -1.2\]
\[-1.2 < -\frac{2}{5} < 0.3\]
(5)\[-23, -2, -10\]
\[-23 < -10 < -2\]
(6)\[-0.75, -\frac{7}{12}, -\frac{2}{3}\]
\[-0.75 < -\frac{2}{3} < -\frac{7}{12}\]
(7)\[-0.01, -1, -1.03\]
\[-1.03 < -1 < -0.01\]
(8)\[7.3, -4, -12.5\]
\[-12.5 < -4 < 7.3\]
(9)\[-4.2, +3.8, +0.07, -6.01\]
\[-6.01 < -4.2 < +0.07 < +3.8\]
(10)\[-1, +\frac{7}{4}, -\frac{2}{3}, +2\]
\[-1 < -\frac{2}{3} < +\frac{7}{4} < +2\]
(11)\[-4, -\frac{13}{3}, -\frac{7}{2}, -\frac{25}{6}\]
\[-\frac{13}{3} < -\frac{25}{6} < -4 < -\frac{7}{2}\]
(12)\[-\frac{4}{3}, +\frac{7}{5}, +\frac{11}{8}, -\frac{7}{6}\]
\[-\frac{4}{3} < -\frac{7}{6} < +\frac{11}{8} < +\frac{7}{5}\]
(13)\[-2.35, -2, -\frac{7}{3}\]
\[-2.35 < -\frac{7}{3} < -2\]
(14)\[-\frac{28}{3}, -\frac{47}{5}, -8.5\]
\[-\frac{47}{5} < -\frac{28}{3} < -8.5\]
(15)\[-\frac{10}{9}, 0.13, -1.12, +\frac{1}{7}\]
\[-1.12 < -\frac{10}{9} < 0.13 < +\frac{1}{7}\]
(16)\[\frac{1}{7}, -\frac{3}{20}, -\frac{4}{21}\]
\[-\frac{4}{21} < -\frac{3}{20} < \frac{1}{7}\]
(17)\[-\frac{25}{3}, -\frac{57}{7}, -\frac{41}{5}\]
\[-\frac{25}{3} < -\frac{41}{5} < -\frac{57}{7}\]
(18)\[-\frac{29}{4}, -\frac{20}{3}, -\frac{41}{6}\]
\[-\frac{29}{4} < -\frac{41}{6} < -\frac{20}{3}\]
(19)\[-\frac{11}{4}, 0.03, -3.4, -\frac{1}{3}\]
\[-3.4 < -\frac{11}{4} < -\frac{1}{3} < 0.03\]
(20)\[-0.01, -\frac{2}{19}, -0.12, -\frac{1}{9}\]
\[-0.12 < -\frac{1}{9} < -\frac{2}{19} < -0.01\]