Volgorde van bewerkingen (gevorderd)

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1. \(6.5^2+(6.5)^2\)
2. \(4.4^2+(4.4)^2\)
3. \((-10).(-18)+7\)
4. \(\left(-\dfrac{4}{3}\cdot\dfrac{12}{32}-\dfrac{1}{8}\right)^2\)
5. \(-3.\sqrt{\frac{81}{16}}-\left[(\frac{13}{11}-5)-(-3)^3\right]\)
6. \(-11-7.(-4-11)+20\)
7. \(\dfrac{5}{3}-\dfrac{2}{3}\cdot\dfrac{3}{2}\)
8. \(17+12:(-6)\)
9. \(10-\sqrt{657-4.12^2}\)
10. \(-5+30:(-2)\)
11. \(8.(-6)-4.(-7)-3\)
12. \(-45:9+45:(-5)\)

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Verbetersleutel

1. \(6.5^2+(6.5)^2=6.5^2+(30)^2=6.25+900=150+900=1050\)
2. \(4.4^2+(4.4)^2=4.4^2+(16)^2=4.16+256=64+256=320\)
3. \((-10).(-18)+7=180+7=187\)
4. \(\left(-\dfrac{4}{3}\cdot\dfrac{12}{32}-\dfrac{1}{8}\right)^2= \left(-\dfrac{4.12}{3.32}-\dfrac{1}{8}\right)^2= \left(-\dfrac{1}{2}-\dfrac{1}{8}\right)^2= \left(-\dfrac{4}{8}-\dfrac{1}{8}\right)^2= \left(\dfrac{-5}{8}\right)^2= \dfrac{25}{64}\)
5. \(-3.\sqrt{\frac{81}{16}}-\left[(\frac{13}{11}-5)-(-3)^3\right]=-3.\frac{9}{4}-\left[(\frac{13}{11}-5)+27\right]=\frac{-27}{4}-\left[(\frac{-42}{11})+27\right]=\frac{-27}{4}-\left[\frac{255}{11}\right]=\frac{-1317}{44}\)
6. \(-11-7.(-4-11)+20=-11-7.(-15)+20=-11-(-105)+20=114\)
7. \(\dfrac{5}{3}-\dfrac{2}{3}\cdot\dfrac{3}{2}= \dfrac{5}{3}-\dfrac{2\cdot 3}{3\cdot2}= \dfrac{5}{3}-\dfrac{3}{3}= \dfrac{5-3}{3}= \dfrac{2}{3}\)
8. \(17+12:(-6)=17+ (-2)=15\)
9. \(10-\sqrt{657-4.12^2}=10-\sqrt{657-4.144}=10-\sqrt{657-576}=10-\sqrt{81}=10-9=1\)
10. \(-5+30:(-2)=-5+ (-15)=-20\)
11. \(8.(-6)-4.(-7)-3=-48+28-3=-23\)
12. \(-45:9+45:(-5)=-5+(-9)=-14\)