Volgorde van bewerkingen (gevorderd)

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1. \(11+6.(-20)\)
2. \((-8).(-10)+13\)
3. \(3+7.6^2-4\)
4. \(2.(-2)-7.(-4)-7\)
5. \(9-\sqrt{313-4.6^2}\)
6. \(\left(-\dfrac{6}{5}\cdot\dfrac{35}{54}-\dfrac{1}{9}\right)^2\)
7. \(\left(-\dfrac{5}{3}\cdot\dfrac{33}{65}-\dfrac{1}{13}\right)^2\)
8. \(8+3.(2^2-11)\)
9. \(-6.\sqrt{\frac{169}{49}}-\left[(\frac{-9}{7}-9)-(-3)^3\right]\)
10. \(4+10.2-66:6+7\)
11. \((-13).(-5)+7\)
12. \(4+4.(5^2-7)\)

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Verbetersleutel

1. \(11+6.(-20)=11+(-120)=-109\)
2. \((-8).(-10)+13=80+13=93\)
3. \(3+7.6^2-4=3+7.36-4=3+252-4=251\)
4. \(2.(-2)-7.(-4)-7=-4+28-7=17\)
5. \(9-\sqrt{313-4.6^2}=9-\sqrt{313-4.36}=9-\sqrt{313-144}=9-\sqrt{169}=9-13=-4\)
6. \(\left(-\dfrac{6}{5}\cdot\dfrac{35}{54}-\dfrac{1}{9}\right)^2= \left(-\dfrac{6.35}{5.54}-\dfrac{1}{9}\right)^2= \left(-\dfrac{7}{9}-\dfrac{1}{9}\right)^2= \left(-\dfrac{7}{9}-\dfrac{1}{9}\right)^2= \left(\dfrac{-8}{9}\right)^2= \dfrac{64}{81}\)
7. \(\left(-\dfrac{5}{3}\cdot\dfrac{33}{65}-\dfrac{1}{13}\right)^2= \left(-\dfrac{5.33}{3.65}-\dfrac{1}{13}\right)^2= \left(-\dfrac{11}{13}-\dfrac{1}{13}\right)^2= \left(-\dfrac{11}{13}-\dfrac{1}{13}\right)^2= \left(\dfrac{-12}{13}\right)^2= \dfrac{144}{169}\)
8. \(8+3.(2^2-11)=8+3.(4-11)=8+3.(-7)=8+-21=-13\)
9. \(-6.\sqrt{\frac{169}{49}}-\left[(\frac{-9}{7}-9)-(-3)^3\right]=-6.\frac{13}{7}-\left[(\frac{-9}{7}-9)+27\right]=\frac{-78}{7}-\left[(\frac{-72}{7})+27\right]=\frac{-78}{7}-\left[\frac{117}{7}\right]=\frac{-195}{7}\)
10. \(4+10.2-66:6+7=4+20-11+7=20\)
11. \((-13).(-5)+7=65+7=72\)
12. \(4+4.(5^2-7)=4+4.(25-7)=4+4.(18)=4+72=76\)