Volgorde van bewerkingen (gevorderd)

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1. \(-8.12^2+7\)
2. \(-19+17.(-7)\)
3. \(2+15-2.(-8)\)
4. \(16-8:4+14\)
5. \(3+4.3^2-3\)
6. \(\left(-\dfrac{7}{4}\cdot\dfrac{16}{49}-\dfrac{1}{7}\right)^2\)
7. \(-7.\sqrt{\frac{1}{4}}-\left[(\frac{17}{15}-3)-(-2)^3\right]\)
8. \(9+13.(-7)\)
9. \(\dfrac{12}{5}-\dfrac{9}{5}\cdot\dfrac{8}{9}\)
10. \(8.(-7)-7.(-8)-2\)
11. \(40-10:5+16\)
12. \(6+3.(6^2-4)\)

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Verbetersleutel

1. \(-8.12^2+7=-8.144+7=-1152+7=-1145\)
2. \(-19+17.(-7)=-19+(-119)=-138\)
3. \(2+15-2.(-8)=2+15+16=33\)
4. \(16-8:4+14=16-2+14=28\)
5. \(3+4.3^2-3=3+4.9-3=3+36-3=36\)
6. \(\left(-\dfrac{7}{4}\cdot\dfrac{16}{49}-\dfrac{1}{7}\right)^2= \left(-\dfrac{7.16}{4.49}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(\dfrac{-5}{7}\right)^2= \dfrac{25}{49}\)
7. \(-7.\sqrt{\frac{1}{4}}-\left[(\frac{17}{15}-3)-(-2)^3\right]=-7.\frac{1}{2}-\left[(\frac{17}{15}-3)+8\right]=\frac{-7}{2}-\left[(\frac{-28}{15})+8\right]=\frac{-7}{2}-\left[\frac{92}{15}\right]=\frac{-289}{30}\)
8. \(9+13.(-7)=9+(-91)=-82\)
9. \(\dfrac{12}{5}-\dfrac{9}{5}\cdot\dfrac{8}{9}= \dfrac{12}{5}-\dfrac{9\cdot 8}{5\cdot9}= \dfrac{12}{5}-\dfrac{8}{5}= \dfrac{12-8}{5}= \dfrac{4}{5}\)
10. \(8.(-7)-7.(-8)-2=-56+56-2=-2\)
11. \(40-10:5+16=40-2+16=54\)
12. \(6+3.(6^2-4)=6+3.(36-4)=6+3.(32)=6+96=102\)