Volgorde van bewerkingen (gevorderd)

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1. \(10+3.(2^2-5)\)
2. \(3+5.2-12:4+2\)
3. \(9+7.2^2-7\)
4. \(-3.\sqrt{\frac{1}{4}}-\left[(\frac{-17}{2}-8)-(-4)^3\right]\)
5. \(3+6.8-44:4+7\)
6. \(\left(-\dfrac{6}{2}\cdot\dfrac{12}{54}-\dfrac{1}{9}\right)^2\)
7. \(-5-3.(-9-6)+18\)
8. \(70-35:7+14\)
9. \(\dfrac{12}{5}-\dfrac{9}{5}\cdot\dfrac{8}{9}\)
10. \(\left(-\dfrac{5}{3}\cdot\dfrac{9}{35}-\dfrac{1}{7}\right)^2\)
11. \(-8+30:(-10)\)
12. \(12+13.(-4)\)

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Verbetersleutel

1. \(10+3.(2^2-5)=10+3.(4-5)=10+3.(-1)=10+-3=7\)
2. \(3+5.2-12:4+2=3+10-3+2=12\)
3. \(9+7.2^2-7=9+7.4-7=9+28-7=30\)
4. \(-3.\sqrt{\frac{1}{4}}-\left[(\frac{-17}{2}-8)-(-4)^3\right]=-3.\frac{1}{2}-\left[(\frac{-17}{2}-8)+64\right]=\frac{-3}{2}-\left[(\frac{-33}{2})+64\right]=\frac{-3}{2}-\left[\frac{95}{2}\right]=-49\)
5. \(3+6.8-44:4+7=3+48-11+7=47\)
6. \(\left(-\dfrac{6}{2}\cdot\dfrac{12}{54}-\dfrac{1}{9}\right)^2= \left(-\dfrac{6.12}{2.54}-\dfrac{1}{9}\right)^2= \left(-\dfrac{2}{3}-\dfrac{1}{9}\right)^2= \left(-\dfrac{6}{9}-\dfrac{1}{9}\right)^2= \left(\dfrac{-7}{9}\right)^2= \dfrac{49}{81}\)
7. \(-5-3.(-9-6)+18=-5-3.(-15)+18=-5-(-45)+18=58\)
8. \(70-35:7+14=70-5+14=79\)
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. \(\left(-\dfrac{5}{3}\cdot\dfrac{9}{35}-\dfrac{1}{7}\right)^2= \left(-\dfrac{5.9}{3.35}-\dfrac{1}{7}\right)^2= \left(-\dfrac{3}{7}-\dfrac{1}{7}\right)^2= \left(-\dfrac{3}{7}-\dfrac{1}{7}\right)^2= \left(\dfrac{-4}{7}\right)^2= \dfrac{16}{49}\)
11. \(-8+30:(-10)=-8+ (-3)=-11\)
12. \(12+13.(-4)=12+(-52)=-40\)