Volgorde van bewerkingen (gevorderd)

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1. \(-5-7.(-4-10)+16\)
2. \(20-10:2+11\)
3. \(-4.\sqrt{\frac{64}{25}}-\left[(\frac{1}{3}-9)-(-3)^3\right]\)
4. \(-9.15^2+6\)
5. \(\left(-\dfrac{5}{2}\cdot\dfrac{16}{55}-\dfrac{1}{11}\right)^2\)
6. \(-1+42:(-7)\)
7. \(-21:7+42:(-6)\)
8. \(8.2^2+(8.2)^2\)
9. \(4.(-8)-6.(-8)-6\)
10. \(-4-8.(-8-20)+20\)
11. \(-15+14.(-11)\)
12. \(7.(-2)-7.(-10)-7\)

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Verbetersleutel

1. \(-5-7.(-4-10)+16=-5-7.(-14)+16=-5-(-98)+16=109\)
2. \(20-10:2+11=20-5+11=26\)
3. \(-4.\sqrt{\frac{64}{25}}-\left[(\frac{1}{3}-9)-(-3)^3\right]=-4.\frac{8}{5}-\left[(\frac{1}{3}-9)+27\right]=\frac{-32}{5}-\left[(\frac{-26}{3})+27\right]=\frac{-32}{5}-\left[\frac{55}{3}\right]=\frac{-371}{15}\)
4. \(-9.15^2+6=-9.225+6=-2025+6=-2019\)
5. \(\left(-\dfrac{5}{2}\cdot\dfrac{16}{55}-\dfrac{1}{11}\right)^2= \left(-\dfrac{5.16}{2.55}-\dfrac{1}{11}\right)^2= \left(-\dfrac{8}{11}-\dfrac{1}{11}\right)^2= \left(-\dfrac{8}{11}-\dfrac{1}{11}\right)^2= \left(\dfrac{-9}{11}\right)^2= \dfrac{81}{121}\)
6. \(-1+42:(-7)=-1+ (-6)=-7\)
7. \(-21:7+42:(-6)=-3+(-7)=-10\)
8. \(8.2^2+(8.2)^2=8.2^2+(16)^2=8.4+256=32+256=288\)
9. \(4.(-8)-6.(-8)-6=-32+48-6=10\)
10. \(-4-8.(-8-20)+20=-4-8.(-28)+20=-4-(-224)+20=240\)
11. \(-15+14.(-11)=-15+(-154)=-169\)
12. \(7.(-2)-7.(-10)-7=-14+70-7=49\)