Volgorde van bewerkingen (gevorderd)

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1. \(5.5^2+(5.5)^2\)
2. \(7.2^2+(7.2)^2\)
3. \(-7.\sqrt{\frac{324}{289}}-\left[(\frac{-2}{18}-8)-(-4)^3\right]\)
4. \(4+10.10^2-6\)
5. \(7.(-2)-5.(-2)-3\)
6. \(4.2^2+(4.2)^2\)
7. \(-6.\sqrt{\frac{16}{81}}-\left[(\frac{-17}{11}-5)-(-2)^3\right]\)
8. \(-9-7.(-8-8)+18\)
9. \(-5.\sqrt{\frac{121}{100}}-\left[(\frac{-19}{8}-6)-(-3)^3\right]\)
10. \(16+10-8.(-18)\)
11. \(80-20:5+11\)
12. \(-15-2.(-7-19)+8\)

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Verbetersleutel

1. \(5.5^2+(5.5)^2=5.5^2+(25)^2=5.25+625=125+625=750\)
2. \(7.2^2+(7.2)^2=7.2^2+(14)^2=7.4+196=28+196=224\)
3. \(-7.\sqrt{\frac{324}{289}}-\left[(\frac{-2}{18}-8)-(-4)^3\right]=-7.\frac{18}{17}-\left[(\frac{-1}{9}-8)+64\right]=\frac{-126}{17}-\left[(\frac{-73}{9})+64\right]=\frac{-126}{17}-\left[\frac{503}{9}\right]=\frac{-9685}{153}\)
4. \(4+10.10^2-6=4+10.100-6=4+1000-6=998\)
5. \(7.(-2)-5.(-2)-3=-14+10-3=-7\)
6. \(4.2^2+(4.2)^2=4.2^2+(8)^2=4.4+64=16+64=80\)
7. \(-6.\sqrt{\frac{16}{81}}-\left[(\frac{-17}{11}-5)-(-2)^3\right]=-6.\frac{4}{9}-\left[(\frac{-17}{11}-5)+8\right]=\frac{-8}{3}-\left[(\frac{-72}{11})+8\right]=\frac{-8}{3}-\left[\frac{16}{11}\right]=\frac{-136}{33}\)
8. \(-9-7.(-8-8)+18=-9-7.(-16)+18=-9-(-112)+18=121\)
9. \(-5.\sqrt{\frac{121}{100}}-\left[(\frac{-19}{8}-6)-(-3)^3\right]=-5.\frac{11}{10}-\left[(\frac{-19}{8}-6)+27\right]=\frac{-11}{2}-\left[(\frac{-67}{8})+27\right]=\frac{-11}{2}-\left[\frac{149}{8}\right]=\frac{-193}{8}\)
10. \(16+10-8.(-18)=16+10+144=170\)
11. \(80-20:5+11=80-4+11=87\)
12. \(-15-2.(-7-19)+8=-15-2.(-26)+8=-15-(-52)+8=45\)