Volgorde van bewerkingen (gevorderd)

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1. \(\left(-\dfrac{7}{3}\cdot\dfrac{21}{77}-\dfrac{1}{11}\right)^2\)
2. \(\left(-\dfrac{7}{2}\cdot\dfrac{8}{49}-\dfrac{1}{7}\right)^2\)
3. \(7+4.3^2-4\)
4. \(-10+99:(-9)\)
5. \(14+12.(-7)\)
6. \(-2.10^2+7\)
7. \(\sqrt{\dfrac{64}{9}}-\left(\dfrac{5}{6}\right)^2\)
8. \(6.(-2)-7.(-6)-3\)
9. \(-2-8.(-6-12)+15\)
10. \((-17).(-9)+10\)
11. \(7+5-19.(-20)\)
12. \(7+10.2-40:5+9\)

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Verbetersleutel

1. \(\left(-\dfrac{7}{3}\cdot\dfrac{21}{77}-\dfrac{1}{11}\right)^2= \left(-\dfrac{7.21}{3.77}-\dfrac{1}{11}\right)^2= \left(-\dfrac{7}{11}-\dfrac{1}{11}\right)^2= \left(-\dfrac{7}{11}-\dfrac{1}{11}\right)^2= \left(\dfrac{-8}{11}\right)^2= \dfrac{64}{121}\)
2. \(\left(-\dfrac{7}{2}\cdot\dfrac{8}{49}-\dfrac{1}{7}\right)^2= \left(-\dfrac{7.8}{2.49}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(\dfrac{-5}{7}\right)^2= \dfrac{25}{49}\)
3. \(7+4.3^2-4=7+4.9-4=7+36-4=39\)
4. \(-10+99:(-9)=-10+ (-11)=-21\)
5. \(14+12.(-7)=14+(-84)=-70\)
6. \(-2.10^2+7=-2.100+7=-200+7=-193\)
7. \(\sqrt{\dfrac{64}{9}}-\left(\dfrac{5}{6}\right)^2= \dfrac{8}{3} - \dfrac{25}{36}= \dfrac{96}{36} - \dfrac{25}{36}= \dfrac{71}{36}\)
8. \(6.(-2)-7.(-6)-3=-12+42-3=27\)
9. \(-2-8.(-6-12)+15=-2-8.(-18)+15=-2-(-144)+15=157\)
10. \((-17).(-9)+10=153+10=163\)
11. \(7+5-19.(-20)=7+5+380=392\)
12. \(7+10.2-40:5+9=7+20-8+9=28\)