Volgorde van bewerkingen (gevorderd)

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1. \(-8.\sqrt{169}-\left[(\frac{12}{14}-9)-(-3)^3\right]\)
2. \(9+26:(-2)\)
3. \(\dfrac{9}{4}-\dfrac{5}{4}\cdot\dfrac{11}{5}\)
4. \(-3-2.(-5-17)+9\)
5. \(\dfrac{5}{6}-\dfrac{1}{6}\cdot\dfrac{10}{1}\)
6. \(\dfrac{12}{5}-\dfrac{9}{5}\cdot\dfrac{10}{9}\)
7. \(5.(-3)-8.(-10)-6\)
8. \((-10).(-9)+5\)
9. \(-10.\sqrt{\frac{25}{4}}-\left[(\frac{11}{13}-9)-(-4)^3\right]\)
10. \((-12).(-16)+10\)
11. \((-5).(-5)+10\)
12. \(-5.11^2+8\)

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Verbetersleutel

1. \(-8.\sqrt{169}-\left[(\frac{12}{14}-9)-(-3)^3\right]=-8.13-\left[(\frac{6}{7}-9)+27\right]=-104-\left[(\frac{-57}{7})+27\right]=-104-\left[\frac{132}{7}\right]=\frac{-860}{7}\)
2. \(9+26:(-2)=9+ (-13)=-4\)
3. \(\dfrac{9}{4}-\dfrac{5}{4}\cdot\dfrac{11}{5}= \dfrac{9}{4}-\dfrac{5\cdot 11}{4\cdot5}= \dfrac{9}{4}-\dfrac{11}{4}= \dfrac{9-11}{4}= \dfrac{-2}{4}\)
4. \(-3-2.(-5-17)+9=-3-2.(-22)+9=-3-(-44)+9=50\)
5. \(\dfrac{5}{6}-\dfrac{1}{6}\cdot\dfrac{10}{1}= \dfrac{5}{6}-\dfrac{1\cdot 10}{6\cdot1}= \dfrac{5}{6}-\dfrac{10}{6}= \dfrac{5-10}{6}= \dfrac{-5}{6}\)
6. \(\dfrac{12}{5}-\dfrac{9}{5}\cdot\dfrac{10}{9}= \dfrac{12}{5}-\dfrac{9\cdot 10}{5\cdot9}= \dfrac{12}{5}-\dfrac{10}{5}= \dfrac{12-10}{5}= \dfrac{2}{5}\)
7. \(5.(-3)-8.(-10)-6=-15+80-6=59\)
8. \((-10).(-9)+5=90+5=95\)
9. \(-10.\sqrt{\frac{25}{4}}-\left[(\frac{11}{13}-9)-(-4)^3\right]=-10.\frac{5}{2}-\left[(\frac{11}{13}-9)+64\right]=-25-\left[(\frac{-106}{13})+64\right]=-25-\left[\frac{726}{13}\right]=\frac{-1051}{13}\)
10. \((-12).(-16)+10=192+10=202\)
11. \((-5).(-5)+10=25+10=35\)
12. \(-5.11^2+8=-5.121+8=-605+8=-597\)