Volgorde van bewerkingen (gevorderd)

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1. \(2.4^2+(2.4)^2\)
2. \(\dfrac{10}{3}-\dfrac{7}{3}\cdot\dfrac{4}{7}\)
3. \(7.4^2+(7.4)^2\)
4. \(8.4^2+(8.4)^2\)
5. \((-9).(-17)+20\)
6. \(20+4-7.(-10)\)
7. \(3.4^2+(3.4)^2\)
8. \(-3.\sqrt{\frac{25}{16}}-\left[(\frac{-5}{9}-9)-(-3)^3\right]\)
9. \(9+3.4^2-7\)
10. \(5.3^2+(5.3)^2\)
11. \(-14-5.(-8-12)+10\)
12. \(4-\sqrt{508-7.6^2}\)

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Verbetersleutel

1. \(2.4^2+(2.4)^2=2.4^2+(8)^2=2.16+64=32+64=96\)
2. \(\dfrac{10}{3}-\dfrac{7}{3}\cdot\dfrac{4}{7}= \dfrac{10}{3}-\dfrac{7\cdot 4}{3\cdot7}= \dfrac{10}{3}-\dfrac{4}{3}= \dfrac{10-4}{3}= \dfrac{6}{3}= \dfrac{2}{1}\)
3. \(7.4^2+(7.4)^2=7.4^2+(28)^2=7.16+784=112+784=896\)
4. \(8.4^2+(8.4)^2=8.4^2+(32)^2=8.16+1024=128+1024=1152\)
5. \((-9).(-17)+20=153+20=173\)
6. \(20+4-7.(-10)=20+4+70=94\)
7. \(3.4^2+(3.4)^2=3.4^2+(12)^2=3.16+144=48+144=192\)
8. \(-3.\sqrt{\frac{25}{16}}-\left[(\frac{-5}{9}-9)-(-3)^3\right]=-3.\frac{5}{4}-\left[(\frac{-5}{9}-9)+27\right]=\frac{-15}{4}-\left[(\frac{-86}{9})+27\right]=\frac{-15}{4}-\left[\frac{157}{9}\right]=\frac{-763}{36}\)
9. \(9+3.4^2-7=9+3.16-7=9+48-7=50\)
10. \(5.3^2+(5.3)^2=5.3^2+(15)^2=5.9+225=45+225=270\)
11. \(-14-5.(-8-12)+10=-14-5.(-20)+10=-14-(-100)+10=96\)
12. \(4-\sqrt{508-7.6^2}=4-\sqrt{508-7.36}=4-\sqrt{508-252}=4-\sqrt{256}=4-16=-12\)