【中学1年数学】1-1 正の数、負の数｜問題集
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
\(+13\)
(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。
\(\displaystyle -3, +\frac{3}{4}, 0, -0.2, 7, -\frac{1}{3}, +9, +1.2, 0.8, -17\)
(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。
\(\displaystyle +\frac{3}{4}, 7, +9, +1.2, 0.8\)
(3)負の数を全て答えなさい。
\(\displaystyle -3, -0.2, -\frac{1}{3}, -17\)
(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。
\(\displaystyle -2, 3, -1.3, 3.1, -\frac{5}{2}, +\frac{5}{3}\)
\(\displaystyle -2, 3, -1.3, 3.1, -\frac{5}{2}, +\frac{5}{3}\)
\(3.1\)
5.次の数の中で、最も小さい数を答えなさい。
\(\displaystyle -2, 3, -1.3, 3.1, -\frac{5}{2}, +\frac{5}{3}\)
\(\displaystyle -2, 3, -1.3, 3.1, -\frac{5}{2}, +\frac{5}{3}\)
\(\displaystyle -\frac{5}{2}\)
6.次の数の大小を不等号を使って表しなさい。
(1)\(\displaystyle +\frac{11}{5}, +\frac{4}{5}\)
\(\displaystyle +\frac{11}{5} > +\frac{4}{5}\)
(2)\(\displaystyle +\frac{1}{4}, -0.5\)
\(\displaystyle +\frac{1}{4} > -0.5\)
(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)\(\displaystyle -\frac{2}{5}, -\frac{1}{2}\)
\(\displaystyle -\frac{2}{5} > -\frac{1}{2}\)
(10)\(-0.3, -0.7\)
\(-0.3 > -0.7\)
(11)\(\displaystyle -\frac{2}{3}, -\frac{1}{2}\)
\(\displaystyle -\frac{2}{3} < -\frac{1}{2}\)
(12)\(3, -7\)
\(3 > -7\)
(13)\(-12, -10\)
\(-12 < -10\)
(14)\(\displaystyle +\frac{1}{6}, +\frac{1}{5}\)
\(\displaystyle +\frac{1}{6} < +\frac{1}{5}\)
(15)\(\displaystyle -\frac{1}{8}, -\frac{1}{4}\)
\(\displaystyle -\frac{1}{8} > -\frac{1}{4}\)
(16)\(\displaystyle +0.2, +\frac{1}{3}\)
\(\displaystyle +0.2 < +\frac{1}{3}\)
(17)\(\displaystyle -2.1, -\frac{5}{2}\)
\(\displaystyle -2.1 > -\frac{5}{2}\)
(18)\(\displaystyle -\frac{1}{4}, -0.3\)
\(\displaystyle -\frac{1}{4} > -0.3\)
(19)\(\displaystyle +\frac{1}{3}, +\frac{1}{12}\)
\(\displaystyle +\frac{1}{3} > +\frac{1}{12}\)
(20)\(\displaystyle +\frac{6}{5}, -\frac{2}{15}\)
\(\displaystyle +\frac{6}{5} > -\frac{2}{15}\)
(21)\(\displaystyle -\frac{19}{8}, -\frac{12}{5}\)
\(\displaystyle -\frac{19}{8} > -\frac{12}{5}\)
(22)\(\displaystyle -\frac{17}{9}, -1.85\)
\(\displaystyle -\frac{17}{9} < -1.85\)
(23)\(\displaystyle \frac{4}{15}, \frac{1}{7}\)
\(\displaystyle \frac{4}{15} > \frac{1}{7}\)
(24)\(\displaystyle -\frac{7}{13}, \frac{1}{8}\)
\(\displaystyle -\frac{7}{13} < \frac{1}{8}\)
(25)\(\displaystyle -\frac{11}{3}, -\frac{25}{7}\)
\(\displaystyle -\frac{11}{3} < -\frac{25}{7}\)
(26)\(\displaystyle -6.8, -\frac{41}{6}\)
\(\displaystyle -6.8 > -\frac{41}{6}\)
(27)\(\displaystyle +\frac{6}{5}, +\frac{33}{26}\)
\(\displaystyle +\frac{6}{5} < +\frac{33}{26}\)
(28)\(\displaystyle +\frac{7}{4}, -\frac{7}{3}\)
\(\displaystyle +\frac{7}{4} > -\frac{7}{3}\)
(29)\(\displaystyle -\frac{50}{7}, -\frac{64}{9}\)
\(\displaystyle -\frac{50}{7} < -\frac{64}{9}\)
(30)\(\displaystyle -5.7, -\frac{17}{3}\)
\(\displaystyle -5.7 < -\frac{17}{3}\)
7.次の数の大小を不等号を使って表しなさい。
(1)\(\displaystyle +2, 0, -\frac{10}{3}\)
\(\displaystyle -\frac{10}{3} < 0 < +2\)
(2)\(\displaystyle -1.4, -3, +\frac{5}{6}, +2.5\)
\(\displaystyle -3 < -1.4 < +\frac{5}{6} < +2.5\)
(3)\(+6, -4, -7.2\)
\(-7.2 < -4 < +6\)
(4)\(\displaystyle -\frac{2}{5}, 0.3, -1.2\)
\(\displaystyle -1.2 < -\frac{2}{5} < 0.3\)
(5)\(-23, -2, -10\)
\(-23 < -10 < -2\)
(6)\(\displaystyle -0.75, -\frac{7}{12}, -\frac{2}{3}\)
\(\displaystyle -0.75 < -\frac{2}{3} < -\frac{7}{12}\)
(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)\(\displaystyle -1, +\frac{7}{4}, -\frac{2}{3}, +2\)
\(\displaystyle -1 < -\frac{2}{3} < +\frac{7}{4} < +2\)
(11)\(\displaystyle -4, -\frac{13}{3}, -\frac{7}{2}, -\frac{25}{6}\)
\(\displaystyle -\frac{13}{3} < -\frac{25}{6} < -4 < -\frac{7}{2}\)
(12)\(\displaystyle -\frac{4}{3}, +\frac{7}{5}, +\frac{11}{8}, -\frac{7}{6}\)
\(\displaystyle -\frac{4}{3} < -\frac{7}{6} < +\frac{11}{8} < +\frac{7}{5}\)
(13)\(\displaystyle -2.35, -2, -\frac{7}{3}\)
\(\displaystyle -2.35 < -\frac{7}{3} < -2\)
(14)\(\displaystyle -\frac{28}{3}, -\frac{47}{5}, -8.5\)
\(\displaystyle -\frac{47}{5} < -\frac{28}{3} < -8.5\)
(15)\(\displaystyle -\frac{10}{9}, 0.13, -1.12, +\frac{1}{7}\)
\(\displaystyle -1.12 < -\frac{10}{9} < 0.13 < +\frac{1}{7}\)
(16)\(\displaystyle \frac{1}{7}, -\frac{3}{20}, -\frac{4}{21}\)
\(\displaystyle -\frac{4}{21} < -\frac{3}{20} < \frac{1}{7}\)
(17)\(\displaystyle -\frac{25}{3}, -\frac{57}{7}, -\frac{41}{5}\)
\(\displaystyle -\frac{25}{3} < -\frac{41}{5} < -\frac{57}{7}\)
(18)\(\displaystyle -\frac{29}{4}, -\frac{20}{3}, -\frac{41}{6}\)
\(\displaystyle -\frac{29}{4} < -\frac{41}{6} < -\frac{20}{3}\)
(19)\(\displaystyle -\frac{11}{4}, 0.03, -3.4, -\frac{1}{3}\)
\(\displaystyle -3.4 < -\frac{11}{4} < -\frac{1}{3} < 0.03\)
(20)\(\displaystyle -0.01, -\frac{2}{19}, -0.12, -\frac{1}{9}\)
\(\displaystyle -0.12 < -\frac{1}{9} < -\frac{2}{19} < -0.01\)
次の学習に進もう！