Volgorde van bewerkingen (gevorderd)

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1. \(\dfrac{8}{7}-\dfrac{6}{7}\cdot\dfrac{7}{6}\)
2. \(7+2.4-16:4+2\)
3. \(-15+78:(-6)\)
4. \(12+4-11.(-10)\)
5. \(-9+30:(-10)\)
6. \(\sqrt{\dfrac{144}{49}}-\left(\dfrac{13}{14}\right)^2\)
7. \(6+2.(2^2-12)\)
8. \(-10-2.(-3-13)+14\)
9. \(8+8.8-24:4+2\)
10. \(-72:9+18:(-2)\)
11. \(3-\sqrt{1233-8.12^2}\)
12. \(5+8.4-12:2+7\)

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Verbetersleutel

1. \(\dfrac{8}{7}-\dfrac{6}{7}\cdot\dfrac{7}{6}= \dfrac{8}{7}-\dfrac{6\cdot 7}{7\cdot6}= \dfrac{8}{7}-\dfrac{7}{7}= \dfrac{8-7}{7}= \dfrac{1}{7}\)
2. \(7+2.4-16:4+2=7+8-4+2=13\)
3. \(-15+78:(-6)=-15+ (-13)=-28\)
4. \(12+4-11.(-10)=12+4+110=126\)
5. \(-9+30:(-10)=-9+ (-3)=-12\)
6. \(\sqrt{\dfrac{144}{49}}-\left(\dfrac{13}{14}\right)^2= \dfrac{12}{7} - \dfrac{169}{196}= \dfrac{336}{196} - \dfrac{169}{196}= \dfrac{167}{196}\)
7. \(6+2.(2^2-12)=6+2.(4-12)=6+2.(-8)=6+-16=-10\)
8. \(-10-2.(-3-13)+14=-10-2.(-16)+14=-10-(-32)+14=36\)
9. \(8+8.8-24:4+2=8+64-6+2=68\)
10. \(-72:9+18:(-2)=-8+(-9)=-17\)
11. \(3-\sqrt{1233-8.12^2}=3-\sqrt{1233-8.144}=3-\sqrt{1233-1152}=3-\sqrt{81}=3-9=-6\)
12. \(5+8.4-12:2+7=5+32-6+7=38\)