Volgorde van bewerkingen (gevorderd)

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1. \(8+4.(2^2-12)\)
2. \(2-\sqrt{921-8.10^2}\)
3. \(3.(-7)-6.(-5)-2\)
4. \(\sqrt{\dfrac{81}{4}}-\left(\dfrac{13}{4}\right)^2\)
5. \(5-\sqrt{512-7.7^2}\)
6. \(\dfrac{6}{5}-\dfrac{2}{5}\cdot\dfrac{9}{2}\)
7. \((-6).(-20)+10\)
8. \(\left(-\dfrac{5}{4}\cdot\dfrac{24}{45}-\dfrac{1}{9}\right)^2\)
9. \(8+10.5-16:4+7\)
10. \(\left(-\dfrac{7}{4}\cdot\dfrac{16}{49}-\dfrac{1}{7}\right)^2\)
11. \(1+35:(-7)\)
12. \(10+17-5.(-11)\)

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Verbetersleutel

1. \(8+4.(2^2-12)=8+4.(4-12)=8+4.(-8)=8+-32=-24\)
2. \(2-\sqrt{921-8.10^2}=2-\sqrt{921-8.100}=2-\sqrt{921-800}=2-\sqrt{121}=2-11=-9\)
3. \(3.(-7)-6.(-5)-2=-21+30-2=7\)
4. \(\sqrt{\dfrac{81}{4}}-\left(\dfrac{13}{4}\right)^2= \dfrac{9}{2} - \dfrac{169}{16}= \dfrac{72}{16} - \dfrac{169}{16}= \dfrac{-97}{16}\)
5. \(5-\sqrt{512-7.7^2}=5-\sqrt{512-7.49}=5-\sqrt{512-343}=5-\sqrt{169}=5-13=-8\)
6. \(\dfrac{6}{5}-\dfrac{2}{5}\cdot\dfrac{9}{2}= \dfrac{6}{5}-\dfrac{2\cdot 9}{5\cdot2}= \dfrac{6}{5}-\dfrac{9}{5}= \dfrac{6-9}{5}= \dfrac{-3}{5}\)
7. \((-6).(-20)+10=120+10=130\)
8. \(\left(-\dfrac{5}{4}\cdot\dfrac{24}{45}-\dfrac{1}{9}\right)^2= \left(-\dfrac{5.24}{4.45}-\dfrac{1}{9}\right)^2= \left(-\dfrac{2}{3}-\dfrac{1}{9}\right)^2= \left(-\dfrac{6}{9}-\dfrac{1}{9}\right)^2= \left(\dfrac{-7}{9}\right)^2= \dfrac{49}{81}\)
9. \(8+10.5-16:4+7=8+50-4+7=61\)
10. \(\left(-\dfrac{7}{4}\cdot\dfrac{16}{49}-\dfrac{1}{7}\right)^2= \left(-\dfrac{7.16}{4.49}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(\dfrac{-5}{7}\right)^2= \dfrac{25}{49}\)
11. \(1+35:(-7)=1+ (-5)=-4\)
12. \(10+17-5.(-11)=10+17+55=82\)