Volgorde van bewerkingen (gevorderd)

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  1. \(8+5.(7^2-12)\)
  2. \(-3.13^2+4\)
  3. \(6.3^2+(6.3)^2\)
  4. \(7-\sqrt{52-4.2^2}\)
  5. \(9+5.(2^2-7)\)
  6. \(9.(-6)-5.(-2)-2\)
  7. \(\sqrt{\dfrac{9}{64}}-\left(\dfrac{5}{16}\right)^2\)
  8. \(\sqrt{\dfrac{144}{49}}-\left(\dfrac{13}{14}\right)^2\)
  9. \(2+17.(-8)\)
  10. \(\sqrt{\dfrac{9}{16}}-\left(\dfrac{3}{8}\right)^2\)
  11. \(8+6.3-22:2+2\)
  12. \(-32:8+16:(-2)\)

Reken uit

Verbetersleutel

  1. \(8+5.(7^2-12)=8+5.(49-12)=8+5.(37)=8+185=193\)
  2. \(-3.13^2+4=-3.169+4=-507+4=-503\)
  3. \(6.3^2+(6.3)^2=6.3^2+(18)^2=6.9+324=54+324=378\)
  4. \(7-\sqrt{52-4.2^2}=7-\sqrt{52-4.4}=7-\sqrt{52-16}=7-\sqrt{36}=7-6=1\)
  5. \(9+5.(2^2-7)=9+5.(4-7)=9+5.(-3)=9+-15=-6\)
  6. \(9.(-6)-5.(-2)-2=-54+10-2=-46\)
  7. \(\sqrt{\dfrac{9}{64}}-\left(\dfrac{5}{16}\right)^2= \dfrac{3}{8} - \dfrac{25}{256}= \dfrac{96}{256} - \dfrac{25}{256}= \dfrac{71}{256}\)
  8. \(\sqrt{\dfrac{144}{49}}-\left(\dfrac{13}{14}\right)^2= \dfrac{12}{7} - \dfrac{169}{196}= \dfrac{336}{196} - \dfrac{169}{196}= \dfrac{167}{196}\)
  9. \(2+17.(-8)=2+(-136)=-134\)
  10. \(\sqrt{\dfrac{9}{16}}-\left(\dfrac{3}{8}\right)^2= \dfrac{3}{4} - \dfrac{9}{64}= \dfrac{48}{64} - \dfrac{9}{64}= \dfrac{39}{64}\)
  11. \(8+6.3-22:2+2=8+18-11+2=17\)
  12. \(-32:8+16:(-2)=-4+(-8)=-12\)
Oefeningengenerator vanhoeckes.be/wiskunde 2025-04-26 12:22:04