Volgorde van bewerkingen (gevorderd)

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1. \(24-8:4+12\)
2. \(-8-3.(-3-16)+12\)
3. \(2+16-20.(-3)\)
4. \(-40:8+72:(-9)\)
5. \(\left(-\dfrac{4}{3}\cdot\dfrac{9}{28}-\dfrac{1}{7}\right)^2\)
6. \(2+8.8^2-8\)
7. \(-6.\sqrt{\frac{9}{196}}-\left[(\frac{7}{10}-7)-(-2)^3\right]\)
8. \(\dfrac{11}{5}-\dfrac{8}{5}\cdot\dfrac{9}{8}\)
9. \(140-20:4+6\)
10. \(100-20:4+15\)
11. \(2+4.(2^2-11)\)
12. \(20+13-12.(-20)\)

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Verbetersleutel

1. \(24-8:4+12=24-2+12=34\)
2. \(-8-3.(-3-16)+12=-8-3.(-19)+12=-8-(-57)+12=61\)
3. \(2+16-20.(-3)=2+16+60=78\)
4. \(-40:8+72:(-9)=-5+(-8)=-13\)
5. \(\left(-\dfrac{4}{3}\cdot\dfrac{9}{28}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4.9}{3.28}-\dfrac{1}{7}\right)^2= \left(-\dfrac{3}{7}-\dfrac{1}{7}\right)^2= \left(-\dfrac{3}{7}-\dfrac{1}{7}\right)^2= \left(\dfrac{-4}{7}\right)^2= \dfrac{16}{49}\)
6. \(2+8.8^2-8=2+8.64-8=2+512-8=506\)
7. \(-6.\sqrt{\frac{9}{196}}-\left[(\frac{7}{10}-7)-(-2)^3\right]=-6.\frac{3}{14}-\left[(\frac{7}{10}-7)+8\right]=\frac{-9}{7}-\left[(\frac{-63}{10})+8\right]=\frac{-9}{7}-\left[\frac{17}{10}\right]=\frac{-209}{70}\)
8. \(\dfrac{11}{5}-\dfrac{8}{5}\cdot\dfrac{9}{8}= \dfrac{11}{5}-\dfrac{8\cdot 9}{5\cdot8}= \dfrac{11}{5}-\dfrac{9}{5}= \dfrac{11-9}{5}= \dfrac{2}{5}\)
9. \(140-20:4+6=140-5+6=141\)
10. \(100-20:4+15=100-5+15=110\)
11. \(2+4.(2^2-11)=2+4.(4-11)=2+4.(-7)=2+-28=-26\)
12. \(20+13-12.(-20)=20+13+240=273\)