Volgorde van bewerkingen (gevorderd)

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  1. \((-18).(-12)+9\)
  2. \(-72:9+63:(-7)\)
  3. \(\dfrac{15}{2}-\dfrac{13}{2}\cdot\dfrac{8}{13}\)
  4. \(-15+72:(-8)\)
  5. \(11+17-9.(-7)\)
  6. \(7+2.(-12)\)
  7. \(63-21:7+15\)
  8. \(-9.\sqrt{196}-\left[(\frac{19}{14}-8)-(-4)^3\right]\)
  9. \(60-20:5+16\)
  10. \(\dfrac{11}{7}-\dfrac{9}{7}\cdot\dfrac{10}{9}\)
  11. \(2.(-5)-6.(-4)-4\)
  12. \(4+5.8-12:4+6\)

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Verbetersleutel

  1. \((-18).(-12)+9=216+9=225\)
  2. \(-72:9+63:(-7)=-8+(-9)=-17\)
  3. \(\dfrac{15}{2}-\dfrac{13}{2}\cdot\dfrac{8}{13}= \dfrac{15}{2}-\dfrac{13\cdot 8}{2\cdot13}= \dfrac{15}{2}-\dfrac{8}{2}= \dfrac{15-8}{2}= \dfrac{7}{2}\)
  4. \(-15+72:(-8)=-15+ (-9)=-24\)
  5. \(11+17-9.(-7)=11+17+63=91\)
  6. \(7+2.(-12)=7+(-24)=-17\)
  7. \(63-21:7+15=63-3+15=75\)
  8. \(-9.\sqrt{196}-\left[(\frac{19}{14}-8)-(-4)^3\right]=-9.14-\left[(\frac{19}{14}-8)+64\right]=-126-\left[(\frac{-93}{14})+64\right]=-126-\left[\frac{803}{14}\right]=\frac{-2567}{14}\)
  9. \(60-20:5+16=60-4+16=72\)
  10. \(\dfrac{11}{7}-\dfrac{9}{7}\cdot\dfrac{10}{9}= \dfrac{11}{7}-\dfrac{9\cdot 10}{7\cdot9}= \dfrac{11}{7}-\dfrac{10}{7}= \dfrac{11-10}{7}= \dfrac{1}{7}\)
  11. \(2.(-5)-6.(-4)-4=-10+24-4=10\)
  12. \(4+5.8-12:4+6=4+40-3+6=47\)
Oefeningengenerator vanhoeckes.be/wiskunde 2025-04-04 17:19:29