Volgorde van bewerkingen (gevorderd)

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1. \(4+2.3-28:4+5\)
2. \(\dfrac{13}{7}-\dfrac{10}{7}\cdot\dfrac{3}{10}\)
3. \(\sqrt{\dfrac{169}{49}}-\left(\dfrac{13}{14}\right)^2\)
4. \(\sqrt{\dfrac{196}{9}}-\left(\dfrac{11}{6}\right)^2\)
5. \(-20.12^2+15\)
6. \(-60:6+60:(-10)\)
7. \(-4.\sqrt{\frac{36}{25}}-\left[(\frac{-13}{5}-5)-(-2)^3\right]\)
8. \(-30:6+24:(-4)\)
9. \(7.5^2+(7.5)^2\)
10. \((-18).(-5)+16\)
11. \(24-8:4+17\)
12. \(3.(-5)-9.(-6)-6\)

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Verbetersleutel

1. \(4+2.3-28:4+5=4+6-7+5=8\)
2. \(\dfrac{13}{7}-\dfrac{10}{7}\cdot\dfrac{3}{10}= \dfrac{13}{7}-\dfrac{10\cdot 3}{7\cdot10}= \dfrac{13}{7}-\dfrac{3}{7}= \dfrac{13-3}{7}= \dfrac{10}{7}\)
3. \(\sqrt{\dfrac{169}{49}}-\left(\dfrac{13}{14}\right)^2= \dfrac{13}{7} - \dfrac{169}{196}= \dfrac{364}{196} - \dfrac{169}{196}= \dfrac{195}{196}\)
4. \(\sqrt{\dfrac{196}{9}}-\left(\dfrac{11}{6}\right)^2= \dfrac{14}{3} - \dfrac{121}{36}= \dfrac{168}{36} - \dfrac{121}{36}= \dfrac{47}{36}\)
5. \(-20.12^2+15=-20.144+15=-2880+15=-2865\)
6. \(-60:6+60:(-10)=-10+(-6)=-16\)
7. \(-4.\sqrt{\frac{36}{25}}-\left[(\frac{-13}{5}-5)-(-2)^3\right]=-4.\frac{6}{5}-\left[(\frac{-13}{5}-5)+8\right]=\frac{-24}{5}-\left[(\frac{-38}{5})+8\right]=\frac{-24}{5}-\left[\frac{2}{5}\right]=\frac{-26}{5}\)
8. \(-30:6+24:(-4)=-5+(-6)=-11\)
9. \(7.5^2+(7.5)^2=7.5^2+(35)^2=7.25+1225=175+1225=1400\)
10. \((-18).(-5)+16=90+16=106\)
11. \(24-8:4+17=24-2+17=39\)
12. \(3.(-5)-9.(-6)-6=-15+54-6=33\)