Volgorde van bewerkingen (gevorderd)

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1. \(\left(-\dfrac{5}{4}\cdot\dfrac{8}{35}-\dfrac{1}{7}\right)^2\)
2. \(10+9.10^2-8\)
3. \(\left(-\dfrac{5}{2}\cdot\dfrac{16}{65}-\dfrac{1}{13}\right)^2\)
4. \(13+20.(-4)\)
5. \(-2.\sqrt{\frac{361}{121}}-\left[(\frac{-17}{14}-7)-(-2)^3\right]\)
6. \(\sqrt{\dfrac{169}{25}}-\left(\dfrac{13}{10}\right)^2\)
7. \(18+11.(-13)\)
8. \(-16+13.(-18)\)
9. \(-8.2^2+20\)
10. \(2+7.9-36:4+4\)
11. \(8+2.(2^2-6)\)
12. \(\sqrt{\dfrac{121}{64}}-\left(\dfrac{11}{16}\right)^2\)

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Verbetersleutel

1. \(\left(-\dfrac{5}{4}\cdot\dfrac{8}{35}-\dfrac{1}{7}\right)^2= \left(-\dfrac{5.8}{4.35}-\dfrac{1}{7}\right)^2= \left(-\dfrac{2}{7}-\dfrac{1}{7}\right)^2= \left(-\dfrac{2}{7}-\dfrac{1}{7}\right)^2= \left(\dfrac{-3}{7}\right)^2= \dfrac{9}{49}\)
2. \(10+9.10^2-8=10+9.100-8=10+900-8=902\)
3. \(\left(-\dfrac{5}{2}\cdot\dfrac{16}{65}-\dfrac{1}{13}\right)^2= \left(-\dfrac{5.16}{2.65}-\dfrac{1}{13}\right)^2= \left(-\dfrac{8}{13}-\dfrac{1}{13}\right)^2= \left(-\dfrac{8}{13}-\dfrac{1}{13}\right)^2= \left(\dfrac{-9}{13}\right)^2= \dfrac{81}{169}\)
4. \(13+20.(-4)=13+(-80)=-67\)
5. \(-2.\sqrt{\frac{361}{121}}-\left[(\frac{-17}{14}-7)-(-2)^3\right]=-2.\frac{19}{11}-\left[(\frac{-17}{14}-7)+8\right]=\frac{-38}{11}-\left[(\frac{-115}{14})+8\right]=\frac{-38}{11}-\left[\frac{-3}{14}\right]=\frac{-499}{154}\)
6. \(\sqrt{\dfrac{169}{25}}-\left(\dfrac{13}{10}\right)^2= \dfrac{13}{5} - \dfrac{169}{100}= \dfrac{260}{100} - \dfrac{169}{100}= \dfrac{91}{100}\)
7. \(18+11.(-13)=18+(-143)=-125\)
8. \(-16+13.(-18)=-16+(-234)=-250\)
9. \(-8.2^2+20=-8.4+20=-32+20=-12\)
10. \(2+7.9-36:4+4=2+63-9+4=60\)
11. \(8+2.(2^2-6)=8+2.(4-6)=8+2.(-2)=8+-4=4\)
12. \(\sqrt{\dfrac{121}{64}}-\left(\dfrac{11}{16}\right)^2= \dfrac{11}{8} - \dfrac{121}{256}= \dfrac{352}{256} - \dfrac{121}{256}= \dfrac{231}{256}\)