Volgorde van bewerkingen (gevorderd)

Hoofdmenu Eentje per keer 

Reken uit

  1. \(8.2^2+(8.2)^2\)
  2. \(\sqrt{\dfrac{16}{49}}-\left(\dfrac{3}{14}\right)^2\)
  3. \(\left(-\dfrac{7}{4}\cdot\dfrac{32}{77}-\dfrac{1}{11}\right)^2\)
  4. \(\sqrt{\dfrac{81}{64}}-\left(\dfrac{13}{16}\right)^2\)
  5. \(10+7.4^2-6\)
  6. \(\left(-\dfrac{5}{3}\cdot\dfrac{33}{65}-\dfrac{1}{13}\right)^2\)
  7. \(2+8.7^2-3\)
  8. \(5+8.3-55:5+7\)
  9. \(\dfrac{11}{5}-\dfrac{9}{5}\cdot\dfrac{2}{9}\)
  10. \(\dfrac{11}{4}-\dfrac{9}{4}\cdot\dfrac{10}{9}\)
  11. \(3.4^2+(3.4)^2\)
  12. \(\left(-\dfrac{7}{5}\cdot\dfrac{55}{91}-\dfrac{1}{13}\right)^2\)

Reken uit

Verbetersleutel

  1. \(8.2^2+(8.2)^2=8.2^2+(16)^2=8.4+256=32+256=288\)
  2. \(\sqrt{\dfrac{16}{49}}-\left(\dfrac{3}{14}\right)^2= \dfrac{4}{7} - \dfrac{9}{196}= \dfrac{112}{196} - \dfrac{9}{196}= \dfrac{103}{196}\)
  3. \(\left(-\dfrac{7}{4}\cdot\dfrac{32}{77}-\dfrac{1}{11}\right)^2= \left(-\dfrac{7.32}{4.77}-\dfrac{1}{11}\right)^2= \left(-\dfrac{8}{11}-\dfrac{1}{11}\right)^2= \left(-\dfrac{8}{11}-\dfrac{1}{11}\right)^2= \left(\dfrac{-9}{11}\right)^2= \dfrac{81}{121}\)
  4. \(\sqrt{\dfrac{81}{64}}-\left(\dfrac{13}{16}\right)^2= \dfrac{9}{8} - \dfrac{169}{256}= \dfrac{288}{256} - \dfrac{169}{256}= \dfrac{119}{256}\)
  5. \(10+7.4^2-6=10+7.16-6=10+112-6=116\)
  6. \(\left(-\dfrac{5}{3}\cdot\dfrac{33}{65}-\dfrac{1}{13}\right)^2= \left(-\dfrac{5.33}{3.65}-\dfrac{1}{13}\right)^2= \left(-\dfrac{11}{13}-\dfrac{1}{13}\right)^2= \left(-\dfrac{11}{13}-\dfrac{1}{13}\right)^2= \left(\dfrac{-12}{13}\right)^2= \dfrac{144}{169}\)
  7. \(2+8.7^2-3=2+8.49-3=2+392-3=391\)
  8. \(5+8.3-55:5+7=5+24-11+7=25\)
  9. \(\dfrac{11}{5}-\dfrac{9}{5}\cdot\dfrac{2}{9}= \dfrac{11}{5}-\dfrac{9\cdot 2}{5\cdot9}= \dfrac{11}{5}-\dfrac{2}{5}= \dfrac{11-2}{5}= \dfrac{9}{5}\)
  10. \(\dfrac{11}{4}-\dfrac{9}{4}\cdot\dfrac{10}{9}= \dfrac{11}{4}-\dfrac{9\cdot 10}{4\cdot9}= \dfrac{11}{4}-\dfrac{10}{4}= \dfrac{11-10}{4}= \dfrac{1}{4}\)
  11. \(3.4^2+(3.4)^2=3.4^2+(12)^2=3.16+144=48+144=192\)
  12. \(\left(-\dfrac{7}{5}\cdot\dfrac{55}{91}-\dfrac{1}{13}\right)^2= \left(-\dfrac{7.55}{5.91}-\dfrac{1}{13}\right)^2= \left(-\dfrac{11}{13}-\dfrac{1}{13}\right)^2= \left(-\dfrac{11}{13}-\dfrac{1}{13}\right)^2= \left(\dfrac{-12}{13}\right)^2= \dfrac{144}{169}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2021-12-02 01:42:09