Volgorde van bewerkingen (gevorderd)

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1. \(2+3.4^2-4\)
2. \(\sqrt{\dfrac{16}{9}}-\left(\dfrac{7}{6}\right)^2\)
3. \(56-14:7+3\)
4. \((-7).(-15)+7\)
5. \(\left(-\dfrac{6}{4}\cdot\dfrac{32}{66}-\dfrac{1}{11}\right)^2\)
6. \(\left(-\dfrac{7}{4}\cdot\dfrac{16}{49}-\dfrac{1}{7}\right)^2\)
7. \(8+2.(5^2-9)\)
8. \(7+7.2-40:4+6\)
9. \(18+2.(-2)\)
10. \(6.3^2+(6.3)^2\)
11. \(\dfrac{10}{4}-\dfrac{6}{4}\cdot\dfrac{5}{6}\)
12. \(2+8.6-9:3+7\)

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Verbetersleutel

1. \(2+3.4^2-4=2+3.16-4=2+48-4=46\)
2. \(\sqrt{\dfrac{16}{9}}-\left(\dfrac{7}{6}\right)^2= \dfrac{4}{3} - \dfrac{49}{36}= \dfrac{48}{36} - \dfrac{49}{36}= \dfrac{-1}{36}\)
3. \(56-14:7+3=56-2+3=57\)
4. \((-7).(-15)+7=105+7=112\)
5. \(\left(-\dfrac{6}{4}\cdot\dfrac{32}{66}-\dfrac{1}{11}\right)^2= \left(-\dfrac{6.32}{4.66}-\dfrac{1}{11}\right)^2= \left(-\dfrac{8}{11}-\dfrac{1}{11}\right)^2= \left(-\dfrac{8}{11}-\dfrac{1}{11}\right)^2= \left(\dfrac{-9}{11}\right)^2= \dfrac{81}{121}\)
6. \(\left(-\dfrac{7}{4}\cdot\dfrac{16}{49}-\dfrac{1}{7}\right)^2= \left(-\dfrac{7.16}{4.49}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(\dfrac{-5}{7}\right)^2= \dfrac{25}{49}\)
7. \(8+2.(5^2-9)=8+2.(25-9)=8+2.(16)=8+32=40\)
8. \(7+7.2-40:4+6=7+14-10+6=17\)
9. \(18+2.(-2)=18+(-4)=14\)
10. \(6.3^2+(6.3)^2=6.3^2+(18)^2=6.9+324=54+324=378\)
11. \(\dfrac{10}{4}-\dfrac{6}{4}\cdot\dfrac{5}{6}= \dfrac{10}{4}-\dfrac{6\cdot 5}{4\cdot6}= \dfrac{10}{4}-\dfrac{5}{4}= \dfrac{10-5}{4}= \dfrac{5}{4}\)
12. \(2+8.6-9:3+7=2+48-3+7=54\)