Volgorde van bewerkingen (gevorderd)

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1. \(\dfrac{12}{5}-\dfrac{11}{5}\cdot\dfrac{8}{11}\)
2. \(7-\sqrt{48-8.2^2}\)
3. \(\sqrt{\dfrac{64}{9}}-\left(\dfrac{13}{6}\right)^2\)
4. \(-9+16.(-4)\)
5. \(2+24:(-8)\)
6. \(6+8.5^2-8\)
7. \(6+6.2^2-3\)
8. \(6+8.5^2-3\)
9. \(30-15:3+3\)
10. \(84-12:3+2\)
11. \(-18.12^2+17\)
12. \(\dfrac{6}{5}-\dfrac{4}{5}\cdot\dfrac{5}{4}\)

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Verbetersleutel

1. \(\dfrac{12}{5}-\dfrac{11}{5}\cdot\dfrac{8}{11}= \dfrac{12}{5}-\dfrac{11\cdot 8}{5\cdot11}= \dfrac{12}{5}-\dfrac{8}{5}= \dfrac{12-8}{5}= \dfrac{4}{5}\)
2. \(7-\sqrt{48-8.2^2}=7-\sqrt{48-8.4}=7-\sqrt{48-32}=7-\sqrt{16}=7-4=3\)
3. \(\sqrt{\dfrac{64}{9}}-\left(\dfrac{13}{6}\right)^2= \dfrac{8}{3} - \dfrac{169}{36}= \dfrac{96}{36} - \dfrac{169}{36}= \dfrac{-73}{36}\)
4. \(-9+16.(-4)=-9+(-64)=-73\)
5. \(2+24:(-8)=2+ (-3)=-1\)
6. \(6+8.5^2-8=6+8.25-8=6+200-8=198\)
7. \(6+6.2^2-3=6+6.4-3=6+24-3=27\)
8. \(6+8.5^2-3=6+8.25-3=6+200-3=203\)
9. \(30-15:3+3=30-5+3=28\)
10. \(84-12:3+2=84-4+2=82\)
11. \(-18.12^2+17=-18.144+17=-2592+17=-2575\)
12. \(\dfrac{6}{5}-\dfrac{4}{5}\cdot\dfrac{5}{4}= \dfrac{6}{5}-\dfrac{4\cdot 5}{5\cdot4}= \dfrac{6}{5}-\dfrac{5}{5}= \dfrac{6-5}{5}= \dfrac{1}{5}\)