Volgorde van bewerkingen (gevorderd)

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1. \(4.(-3)-7.(-10)-10\)
2. \(10.(-8)-9.(-4)-10\)
3. \(5+4.3-48:6+4\)
4. \(\left(-\dfrac{4}{3}\cdot\dfrac{24}{40}-\dfrac{1}{10}\right)^2\)
5. \(-90:9+36:(-4)\)
6. \(\sqrt{\dfrac{121}{9}}-\left(\dfrac{5}{6}\right)^2\)
7. \(7.(-9)-4.(-6)-7\)
8. \(\dfrac{9}{4}-\dfrac{5}{4}\cdot\dfrac{9}{5}\)
9. \(7-\sqrt{350-5.5^2}\)
10. \(7+10.6-55:5+7\)
11. \(7+4.7^2-8\)
12. \(6+5.(6^2-10)\)

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Verbetersleutel

1. \(4.(-3)-7.(-10)-10=-12+70-10=48\)
2. \(10.(-8)-9.(-4)-10=-80+36-10=-54\)
3. \(5+4.3-48:6+4=5+12-8+4=13\)
4. \(\left(-\dfrac{4}{3}\cdot\dfrac{24}{40}-\dfrac{1}{10}\right)^2= \left(-\dfrac{4.24}{3.40}-\dfrac{1}{10}\right)^2= \left(-\dfrac{4}{5}-\dfrac{1}{10}\right)^2= \left(-\dfrac{8}{10}-\dfrac{1}{10}\right)^2= \left(\dfrac{-9}{10}\right)^2= \dfrac{81}{100}\)
5. \(-90:9+36:(-4)=-10+(-9)=-19\)
6. \(\sqrt{\dfrac{121}{9}}-\left(\dfrac{5}{6}\right)^2= \dfrac{11}{3} - \dfrac{25}{36}= \dfrac{132}{36} - \dfrac{25}{36}= \dfrac{107}{36}\)
7. \(7.(-9)-4.(-6)-7=-63+24-7=-46\)
8. \(\dfrac{9}{4}-\dfrac{5}{4}\cdot\dfrac{9}{5}= \dfrac{9}{4}-\dfrac{5\cdot 9}{4\cdot5}= \dfrac{9}{4}-\dfrac{9}{4}= \dfrac{9-9}{4}= \dfrac{0}{4}= \dfrac{0}{1}\)
9. \(7-\sqrt{350-5.5^2}=7-\sqrt{350-5.25}=7-\sqrt{350-125}=7-\sqrt{225}=7-15=-8\)
10. \(7+10.6-55:5+7=7+60-11+7=63\)
11. \(7+4.7^2-8=7+4.49-8=7+196-8=195\)
12. \(6+5.(6^2-10)=6+5.(36-10)=6+5.(26)=6+130=136\)