Volgorde van bewerkingen (gevorderd)

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1. \(15+8:(-2)\)
2. \(-11.17^2+14\)
3. \(5.2^2+(5.2)^2\)
4. \(\sqrt{\dfrac{256}{49}}-\left(\dfrac{3}{14}\right)^2\)
5. \(\sqrt{\dfrac{169}{4}}-\left(\dfrac{15}{4}\right)^2\)
6. \(6.4^2+(6.4)^2\)
7. \(-28:7+49:(-7)\)
8. \((-10).(-15)+3\)
9. \(3+90:(-9)\)
10. \(2+10.3^2-4\)
11. \(\sqrt{\dfrac{49}{25}}-\left(\dfrac{9}{10}\right)^2\)
12. \(\left(-\dfrac{6}{2}\cdot\dfrac{8}{42}-\dfrac{1}{7}\right)^2\)

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Verbetersleutel

1. \(15+8:(-2)=15+ (-4)=11\)
2. \(-11.17^2+14=-11.289+14=-3179+14=-3165\)
3. \(5.2^2+(5.2)^2=5.2^2+(10)^2=5.4+100=20+100=120\)
4. \(\sqrt{\dfrac{256}{49}}-\left(\dfrac{3}{14}\right)^2= \dfrac{16}{7} - \dfrac{9}{196}= \dfrac{448}{196} - \dfrac{9}{196}= \dfrac{439}{196}\)
5. \(\sqrt{\dfrac{169}{4}}-\left(\dfrac{15}{4}\right)^2= \dfrac{13}{2} - \dfrac{225}{16}= \dfrac{104}{16} - \dfrac{225}{16}= \dfrac{-121}{16}\)
6. \(6.4^2+(6.4)^2=6.4^2+(24)^2=6.16+576=96+576=672\)
7. \(-28:7+49:(-7)=-4+(-7)=-11\)
8. \((-10).(-15)+3=150+3=153\)
9. \(3+90:(-9)=3+ (-10)=-7\)
10. \(2+10.3^2-4=2+10.9-4=2+90-4=88\)
11. \(\sqrt{\dfrac{49}{25}}-\left(\dfrac{9}{10}\right)^2= \dfrac{7}{5} - \dfrac{81}{100}= \dfrac{140}{100} - \dfrac{81}{100}= \dfrac{59}{100}\)
12. \(\left(-\dfrac{6}{2}\cdot\dfrac{8}{42}-\dfrac{1}{7}\right)^2= \left(-\dfrac{6.8}{2.42}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(\dfrac{-5}{7}\right)^2= \dfrac{25}{49}\)