Volgorde van bewerkingen (gevorderd)

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1. \(10+12.(-4)\)
2. \(6.(-8)-4.(-5)-9\)
3. \(-15-5.(-2-3)+10\)
4. \(-72:8+24:(-3)\)
5. \(\left(-\dfrac{6}{4}\cdot\dfrac{16}{42}-\dfrac{1}{7}\right)^2\)
6. \(\sqrt{\dfrac{16}{25}}-\left(\dfrac{7}{10}\right)^2\)
7. \(\left(-\dfrac{5}{4}\cdot\dfrac{32}{55}-\dfrac{1}{11}\right)^2\)
8. \(30-15:3+17\)
9. \(7.(-3)-8.(-5)-4\)
10. \(42-21:7+16\)
11. \(9+19.(-18)\)
12. \(-7-8.(-7-13)+15\)

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Verbetersleutel

1. \(10+12.(-4)=10+(-48)=-38\)
2. \(6.(-8)-4.(-5)-9=-48+20-9=-37\)
3. \(-15-5.(-2-3)+10=-15-5.(-5)+10=-15-(-25)+10=20\)
4. \(-72:8+24:(-3)=-9+(-8)=-17\)
5. \(\left(-\dfrac{6}{4}\cdot\dfrac{16}{42}-\dfrac{1}{7}\right)^2= \left(-\dfrac{6.16}{4.42}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(\dfrac{-5}{7}\right)^2= \dfrac{25}{49}\)
6. \(\sqrt{\dfrac{16}{25}}-\left(\dfrac{7}{10}\right)^2= \dfrac{4}{5} - \dfrac{49}{100}= \dfrac{80}{100} - \dfrac{49}{100}= \dfrac{31}{100}\)
7. \(\left(-\dfrac{5}{4}\cdot\dfrac{32}{55}-\dfrac{1}{11}\right)^2= \left(-\dfrac{5.32}{4.55}-\dfrac{1}{11}\right)^2= \left(-\dfrac{8}{11}-\dfrac{1}{11}\right)^2= \left(-\dfrac{8}{11}-\dfrac{1}{11}\right)^2= \left(\dfrac{-9}{11}\right)^2= \dfrac{81}{121}\)
8. \(30-15:3+17=30-5+17=42\)
9. \(7.(-3)-8.(-5)-4=-21+40-4=15\)
10. \(42-21:7+16=42-3+16=55\)
11. \(9+19.(-18)=9+(-342)=-333\)
12. \(-7-8.(-7-13)+15=-7-8.(-20)+15=-7-(-160)+15=168\)