Volgorde van bewerkingen (gevorderd)

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1. \(-7+20:(-5)\)
2. \(11+17.(-8)\)
3. \(-8.\sqrt{\frac{49}{36}}-\left[(\frac{-4}{15}-6)-(-2)^3\right]\)
4. \(\dfrac{15}{2}-\dfrac{11}{2}\cdot\dfrac{2}{11}\)
5. \(\dfrac{5}{2}-\dfrac{3}{2}\cdot\dfrac{4}{3}\)
6. \((-17).(-16)+9\)
7. \(-35:5+15:(-3)\)
8. \(3.(-9)-8.(-7)-9\)
9. \(2.4^2+(2.4)^2\)
10. \(6.(-6)-9.(-8)-3\)
11. \((-12).(-8)+16\)
12. \(7.3^2+(7.3)^2\)

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Verbetersleutel

1. \(-7+20:(-5)=-7+ (-4)=-11\)
2. \(11+17.(-8)=11+(-136)=-125\)
3. \(-8.\sqrt{\frac{49}{36}}-\left[(\frac{-4}{15}-6)-(-2)^3\right]=-8.\frac{7}{6}-\left[(\frac{-4}{15}-6)+8\right]=\frac{-28}{3}-\left[(\frac{-94}{15})+8\right]=\frac{-28}{3}-\left[\frac{26}{15}\right]=\frac{-166}{15}\)
4. \(\dfrac{15}{2}-\dfrac{11}{2}\cdot\dfrac{2}{11}= \dfrac{15}{2}-\dfrac{11\cdot 2}{2\cdot11}= \dfrac{15}{2}-\dfrac{2}{2}= \dfrac{15-2}{2}= \dfrac{13}{2}\)
5. \(\dfrac{5}{2}-\dfrac{3}{2}\cdot\dfrac{4}{3}= \dfrac{5}{2}-\dfrac{3\cdot 4}{2\cdot3}= \dfrac{5}{2}-\dfrac{4}{2}= \dfrac{5-4}{2}= \dfrac{1}{2}\)
6. \((-17).(-16)+9=272+9=281\)
7. \(-35:5+15:(-3)=-7+(-5)=-12\)
8. \(3.(-9)-8.(-7)-9=-27+56-9=20\)
9. \(2.4^2+(2.4)^2=2.4^2+(8)^2=2.16+64=32+64=96\)
10. \(6.(-6)-9.(-8)-3=-36+72-3=33\)
11. \((-12).(-8)+16=96+16=112\)
12. \(7.3^2+(7.3)^2=7.3^2+(21)^2=7.9+441=63+441=504\)