Volgorde van bewerkingen (gevorderd)

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1. \(6.3^2+(6.3)^2\)
2. \(-7-2.(-4-10)+16\)
3. \(-24:6+12:(-2)\)
4. \(8+2.(8^2-7)\)
5. \(\dfrac{5}{3}-\dfrac{2}{3}\cdot\dfrac{5}{2}\)
6. \(\left(-\dfrac{7}{4}\cdot\dfrac{16}{49}-\dfrac{1}{7}\right)^2\)
7. \(5+4.8-32:4+4\)
8. \(-3.\sqrt{\frac{64}{81}}-\left[(\frac{-11}{19}-9)-(-2)^3\right]\)
9. \(10+2.(5^2-5)\)
10. \(6+3.10-9:3+7\)
11. \(8-\sqrt{92-7.2^2}\)
12. \(-12.18^2+18\)

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Verbetersleutel

1. \(6.3^2+(6.3)^2=6.3^2+(18)^2=6.9+324=54+324=378\)
2. \(-7-2.(-4-10)+16=-7-2.(-14)+16=-7-(-28)+16=37\)
3. \(-24:6+12:(-2)=-4+(-6)=-10\)
4. \(8+2.(8^2-7)=8+2.(64-7)=8+2.(57)=8+114=122\)
5. \(\dfrac{5}{3}-\dfrac{2}{3}\cdot\dfrac{5}{2}= \dfrac{5}{3}-\dfrac{2\cdot 5}{3\cdot2}= \dfrac{5}{3}-\dfrac{5}{3}= \dfrac{5-5}{3}= \dfrac{0}{3}= \dfrac{0}{1}\)
6. \(\left(-\dfrac{7}{4}\cdot\dfrac{16}{49}-\dfrac{1}{7}\right)^2= \left(-\dfrac{7.16}{4.49}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(\dfrac{-5}{7}\right)^2= \dfrac{25}{49}\)
7. \(5+4.8-32:4+4=5+32-8+4=33\)
8. \(-3.\sqrt{\frac{64}{81}}-\left[(\frac{-11}{19}-9)-(-2)^3\right]=-3.\frac{8}{9}-\left[(\frac{-11}{19}-9)+8\right]=\frac{-8}{3}-\left[(\frac{-182}{19})+8\right]=\frac{-8}{3}-\left[\frac{-30}{19}\right]=\frac{-62}{57}\)
9. \(10+2.(5^2-5)=10+2.(25-5)=10+2.(20)=10+40=50\)
10. \(6+3.10-9:3+7=6+30-3+7=40\)
11. \(8-\sqrt{92-7.2^2}=8-\sqrt{92-7.4}=8-\sqrt{92-28}=8-\sqrt{64}=8-8=0\)
12. \(-12.18^2+18=-12.324+18=-3888+18=-3870\)