Volgorde van bewerkingen (gevorderd)

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1. \(2.(-4)-3.(-3)-4\)
2. \(40-10:2+3\)
3. \(7+3.10^2-10\)
4. \(-4.17^2+18\)
5. \(-48:6+48:(-8)\)
6. \((-6).(-6)+11\)
7. \(\sqrt{\dfrac{81}{16}}-\left(\dfrac{3}{8}\right)^2\)
8. \(\left(-\dfrac{6}{4}\cdot\dfrac{24}{54}-\dfrac{1}{9}\right)^2\)
9. \(\dfrac{12}{6}-\dfrac{10}{6}\cdot\dfrac{7}{10}\)
10. \(4-\sqrt{601-3.12^2}\)
11. \(2+2.(6^2-10)\)
12. \(3+5.(6^2-12)\)

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Verbetersleutel

1. \(2.(-4)-3.(-3)-4=-8+9-4=-3\)
2. \(40-10:2+3=40-5+3=38\)
3. \(7+3.10^2-10=7+3.100-10=7+300-10=297\)
4. \(-4.17^2+18=-4.289+18=-1156+18=-1138\)
5. \(-48:6+48:(-8)=-8+(-6)=-14\)
6. \((-6).(-6)+11=36+11=47\)
7. \(\sqrt{\dfrac{81}{16}}-\left(\dfrac{3}{8}\right)^2= \dfrac{9}{4} - \dfrac{9}{64}= \dfrac{144}{64} - \dfrac{9}{64}= \dfrac{135}{64}\)
8. \(\left(-\dfrac{6}{4}\cdot\dfrac{24}{54}-\dfrac{1}{9}\right)^2= \left(-\dfrac{6.24}{4.54}-\dfrac{1}{9}\right)^2= \left(-\dfrac{2}{3}-\dfrac{1}{9}\right)^2= \left(-\dfrac{6}{9}-\dfrac{1}{9}\right)^2= \left(\dfrac{-7}{9}\right)^2= \dfrac{49}{81}\)
9. \(\dfrac{12}{6}-\dfrac{10}{6}\cdot\dfrac{7}{10}= \dfrac{12}{6}-\dfrac{10\cdot 7}{6\cdot10}= \dfrac{12}{6}-\dfrac{7}{6}= \dfrac{12-7}{6}= \dfrac{5}{6}\)
10. \(4-\sqrt{601-3.12^2}=4-\sqrt{601-3.144}=4-\sqrt{601-432}=4-\sqrt{169}=4-13=-9\)
11. \(2+2.(6^2-10)=2+2.(36-10)=2+2.(26)=2+52=54\)
12. \(3+5.(6^2-12)=3+5.(36-12)=3+5.(24)=3+120=123\)