与えられた計算問題を解く。具体的には、以下の問題が含まれる。 (1) $6 + (-15) - (-9)$ (2) $(-3.2) \div 8$ (3) $(-10) \times (-\frac{2}{5})$ (4) $12 \div (-16) \times 4$ (5) $-4^2 \times (-3)$ (6) $(-6) \times 5 + (-2)^2$ (7) $0.6 \div \frac{7}{5} - \frac{6}{2}$ (8) $\frac{7}{6} + (-\frac{1}{2}) \div \frac{3}{4}$ (9) $24 \times (-\frac{1}{6} + \frac{5}{8})$ (10) $2 \times 3^2 + 18 \div (-3^2)$ (11) $-\frac{1}{6} -\{-3 -(-5)\} \times 3$ (12) $18 - \{12 - (-1) \times (-5)^2\}$

1. 問題の内容

与えられた計算問題を解く。具体的には、以下の問題が含まれる。

(1) $6 + (-15) - (-9)$

(2) $(-3.2) \div 8$

(3) $(-10) \times (-\frac{2}{5})$

(4) $12 \div (-16) \times 4$

(5) $-4^2 \times (-3)$

(6) $(-6) \times 5 + (-2)^2$

(7) $0.6 \div \frac{7}{5} - \frac{6}{2}$

(8) $\frac{7}{6} + (-\frac{1}{2}) \div \frac{3}{4}$

(9) $24 \times (-\frac{1}{6} + \frac{5}{8})$

(10) $2 \times 3^2 + 18 \div (-3^2)$

(11) $-\frac{1}{6} -\{-3 -(-5)\} \times 3$

(12) $18 - \{12 - (-1) \times (-5)^2\}$

2. 解き方の手順

各問題について、計算の順序に従って解く。

(1) $6 + (-15) - (-9) = 6 - 15 + 9 = -9 + 9 = 0$

(2) $(-3.2) \div 8 = -0.4$

(3) $(-10) \times (-\frac{2}{5}) = \frac{20}{5} = 4$

(4) $12 \div (-16) \times 4 = \frac{12}{-16} \times 4 = -\frac{3}{4} \times 4 = -3$

(5) $-4^2 \times (-3) = -16 \times (-3) = 48$

(6) $(-6) \times 5 + (-2)^2 = -30 + 4 = -26$

(7) $0.6 \div \frac{7}{5} - \frac{6}{2} = \frac{3}{5} \times \frac{5}{7} - 3 = \frac{3}{7} - 3 = \frac{3 - 21}{7} = -\frac{18}{7}$

(8) $\frac{7}{6} + (-\frac{1}{2}) \div \frac{3}{4} = \frac{7}{6} + (-\frac{1}{2}) \times \frac{4}{3} = \frac{7}{6} - \frac{2}{3} = \frac{7}{6} - \frac{4}{6} = \frac{3}{6} = \frac{1}{2}$

(9) $24 \times (-\frac{1}{6} + \frac{5}{8}) = 24 \times (-\frac{4}{24} + \frac{15}{24}) = 24 \times \frac{11}{24} = 11$

(10) $2 \times 3^2 + 18 \div (-3^2) = 2 \times 9 + 18 \div (-9) = 18 - 2 = 16$

(11) $-\frac{1}{6} -\{-3 -(-5)\} \times 3 = -\frac{1}{6} -\{-3 + 5\} \times 3 = -\frac{1}{6} -\{2\} \times 3 = -\frac{1}{6} - 6 = -\frac{1}{6} - \frac{36}{6} = -\frac{37}{6}$

(12) $18 - \{12 - (-1) \times (-5)^2\} = 18 - \{12 - (-1) \times 25\} = 18 - \{12 + 25\} = 18 - 37 = -19$

3. 最終的な答え

(1) 0

(2) -0.4

(3) 4

(4) -3

(5) 48

(6) -26

(7) $-\frac{18}{7}$

(8) $\frac{1}{2}$

(9) 11

(10) 16

(11) $-\frac{37}{6}$

(12) -19