\( \begin{array}{ll}1 & \text { Calculate the following without the use of a calculator. Show all steps! } \\ 1.1 & 18-10+4-6 \\ 1.2 & -24-(-18) \\ 1.3 & 8 \times(-3) \div(-6) \\ 1.4 & -4^{2}+(-4)^{3} \\ 1.5 & \sqrt{169}-\sqrt[3]{-0,064} \\ 1.6 & \sqrt{1 \frac{9}{16}} \times 1 \frac{2}{3} \div 9,3\end{array} \)

Certainly! Let’s tackle each calculation step by step. 1.1 **Calculate \( 18 - 10 + 4 - 6 \)**: - Start with \( 18 - 10 = 8 \) - Next, \( 8 + 4 = 12 \) - Finally, \( 12 - 6 = 6 \) So, the result is **6**. 1.2 **Calculate \( -24 - (-18) \)**: - When we subtract a negative, it’s the same as adding: \( -24 + 18 = -6 \) So, the result is **-6**. 1.3 **Calculate \( 8 \times (-3) \div (-6) \)**: - First, calculate \( 8 \times (-3) = -24 \) - Now divide: \( -24 \div (-6) = 4 \) So, the result is **4**. 1.4 **Calculate \( -4^{2} + (-4)^{3} \)**: - \( -4^{2} = -16 \) (Remember, the exponent applies first.) - \( (-4)^{3} = -64 \) - Now combine: \( -16 - 64 = -80 \) So, the result is **-80**. 1.5 **Calculate \( \sqrt{169} - \sqrt[3]{-0.064} \)**: - \( \sqrt{169} = 13 \) - \( \sqrt[3]{-0.064} = -0.4 \) - Now, \( 13 - (-0.4) = 13 + 0.4 = 13.4 \) So, the result is **13.4**. 1.6 **Calculate \( \sqrt{1 \frac{9}{16}} \times 1 \frac{2}{3} \div 9.3\)**: - Convert \( 1 \frac{9}{16} \) to an improper fraction: \( 1 \frac{9}{16} = \frac{25}{16} \) - Now take the square root: \( \sqrt{\frac{25}{16}} = \frac{5}{4} \) - Convert \( 1 \frac{2}{3} \) to improper: \( 1 \frac{2}{3} = \frac{5}{3} \) - Multiply: \( \frac{5}{4} \times \frac{5}{3} = \frac{25}{12} \) - Finally, divide by 9.3: \( \frac{25}{12} \div 9.3 \approx 0.224 \) So, the approximate result is **0.224**. And there you have it! All the calculations neatly laid out!