Volgorde van bewerkingen (gevorderd)

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1. \(6.2^2+(6.2)^2\)
2. \(-4.20^2+16\)
3. \(4+3.7^2-10\)
4. \(2+9.4-36:3+9\)
5. \(\dfrac{8}{7}-\dfrac{6}{7}\cdot\dfrac{11}{6}\)
6. \(-24:8+56:(-7)\)
7. \(\dfrac{12}{7}-\dfrac{10}{7}\cdot\dfrac{3}{10}\)
8. \(8.4^2+(8.4)^2\)
9. \(18+63:(-7)\)
10. \(\left(-\dfrac{4}{5}\cdot\dfrac{45}{48}-\dfrac{1}{12}\right)^2\)
11. \(105-35:7+7\)
12. \(\sqrt{\dfrac{196}{9}}-\left(\dfrac{13}{6}\right)^2\)

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Verbetersleutel

1. \(6.2^2+(6.2)^2=6.2^2+(12)^2=6.4+144=24+144=168\)
2. \(-4.20^2+16=-4.400+16=-1600+16=-1584\)
3. \(4+3.7^2-10=4+3.49-10=4+147-10=141\)
4. \(2+9.4-36:3+9=2+36-12+9=35\)
5. \(\dfrac{8}{7}-\dfrac{6}{7}\cdot\dfrac{11}{6}= \dfrac{8}{7}-\dfrac{6\cdot 11}{7\cdot6}= \dfrac{8}{7}-\dfrac{11}{7}= \dfrac{8-11}{7}= \dfrac{-3}{7}\)
6. \(-24:8+56:(-7)=-3+(-8)=-11\)
7. \(\dfrac{12}{7}-\dfrac{10}{7}\cdot\dfrac{3}{10}= \dfrac{12}{7}-\dfrac{10\cdot 3}{7\cdot10}= \dfrac{12}{7}-\dfrac{3}{7}= \dfrac{12-3}{7}= \dfrac{9}{7}\)
8. \(8.4^2+(8.4)^2=8.4^2+(32)^2=8.16+1024=128+1024=1152\)
9. \(18+63:(-7)=18+ (-9)=9\)
10. \(\left(-\dfrac{4}{5}\cdot\dfrac{45}{48}-\dfrac{1}{12}\right)^2= \left(-\dfrac{4.45}{5.48}-\dfrac{1}{12}\right)^2= \left(-\dfrac{3}{4}-\dfrac{1}{12}\right)^2= \left(-\dfrac{9}{12}-\dfrac{1}{12}\right)^2= \left(\dfrac{-10}{12}\right)^2= \left(\dfrac{-5}{6}\right)^2= \dfrac{25}{36}\)
11. \(105-35:7+7=105-5+7=107\)
12. \(\sqrt{\dfrac{196}{9}}-\left(\dfrac{13}{6}\right)^2= \dfrac{14}{3} - \dfrac{169}{36}= \dfrac{168}{36} - \dfrac{169}{36}= \dfrac{-1}{36}\)