Volgorde van bewerkingen (gevorderd)

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1. \(-18:6+24:(-4)\)
2. \(3.5^2+(3.5)^2\)
3. \(4.2^2+(4.2)^2\)
4. \(6.(-10)-7.(-10)-9\)
5. \(\dfrac{16}{7}-\dfrac{15}{7}\cdot\dfrac{11}{15}\)
6. \(7+2.(5^2-9)\)
7. \(4+3.(9^2-2)\)
8. \(9.(-9)-5.(-10)-7\)
9. \(\dfrac{13}{5}-\dfrac{12}{5}\cdot\dfrac{7}{12}\)
10. \((-3).(-6)+5\)
11. \(\left(-\dfrac{7}{2}\cdot\dfrac{20}{91}-\dfrac{1}{13}\right)^2\)
12. \(8.4^2+(8.4)^2\)

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Verbetersleutel

1. \(-18:6+24:(-4)=-3+(-6)=-9\)
2. \(3.5^2+(3.5)^2=3.5^2+(15)^2=3.25+225=75+225=300\)
3. \(4.2^2+(4.2)^2=4.2^2+(8)^2=4.4+64=16+64=80\)
4. \(6.(-10)-7.(-10)-9=-60+70-9=1\)
5. \(\dfrac{16}{7}-\dfrac{15}{7}\cdot\dfrac{11}{15}= \dfrac{16}{7}-\dfrac{15\cdot 11}{7\cdot15}= \dfrac{16}{7}-\dfrac{11}{7}= \dfrac{16-11}{7}= \dfrac{5}{7}\)
6. \(7+2.(5^2-9)=7+2.(25-9)=7+2.(16)=7+32=39\)
7. \(4+3.(9^2-2)=4+3.(81-2)=4+3.(79)=4+237=241\)
8. \(9.(-9)-5.(-10)-7=-81+50-7=-38\)
9. \(\dfrac{13}{5}-\dfrac{12}{5}\cdot\dfrac{7}{12}= \dfrac{13}{5}-\dfrac{12\cdot 7}{5\cdot12}= \dfrac{13}{5}-\dfrac{7}{5}= \dfrac{13-7}{5}= \dfrac{6}{5}\)
10. \((-3).(-6)+5=18+5=23\)
11. \(\left(-\dfrac{7}{2}\cdot\dfrac{20}{91}-\dfrac{1}{13}\right)^2= \left(-\dfrac{7.20}{2.91}-\dfrac{1}{13}\right)^2= \left(-\dfrac{10}{13}-\dfrac{1}{13}\right)^2= \left(-\dfrac{10}{13}-\dfrac{1}{13}\right)^2= \left(\dfrac{-11}{13}\right)^2= \dfrac{121}{169}\)
12. \(8.4^2+(8.4)^2=8.4^2+(32)^2=8.16+1024=128+1024=1152\)