Volgorde van bewerkingen (gevorderd)

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1. \(6.(-2)-8.(-3)-9\)
2. \(4-\sqrt{569-5.7^2}\)
3. \(\dfrac{8}{3}-\dfrac{5}{3}\cdot\dfrac{2}{5}\)
4. \(2-\sqrt{577-2.12^2}\)
5. \(\sqrt{\dfrac{100}{49}}-\left(\dfrac{15}{14}\right)^2\)
6. \(7.2^2+(7.2)^2\)
7. \(-5-2.(-3-6)+14\)
8. \(19+15.(-3)\)
9. \(\sqrt{\dfrac{4}{49}}-\left(\dfrac{3}{14}\right)^2\)
10. \((-8).(-11)+9\)
11. \(3-\sqrt{228-8.4^2}\)
12. \(10+3.8-18:2+8\)

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Verbetersleutel

1. \(6.(-2)-8.(-3)-9=-12+24-9=3\)
2. \(4-\sqrt{569-5.7^2}=4-\sqrt{569-5.49}=4-\sqrt{569-245}=4-\sqrt{324}=4-18=-14\)
3. \(\dfrac{8}{3}-\dfrac{5}{3}\cdot\dfrac{2}{5}= \dfrac{8}{3}-\dfrac{5\cdot 2}{3\cdot5}= \dfrac{8}{3}-\dfrac{2}{3}= \dfrac{8-2}{3}= \dfrac{6}{3}= \dfrac{2}{1}\)
4. \(2-\sqrt{577-2.12^2}=2-\sqrt{577-2.144}=2-\sqrt{577-288}=2-\sqrt{289}=2-17=-15\)
5. \(\sqrt{\dfrac{100}{49}}-\left(\dfrac{15}{14}\right)^2= \dfrac{10}{7} - \dfrac{225}{196}= \dfrac{280}{196} - \dfrac{225}{196}= \dfrac{55}{196}\)
6. \(7.2^2+(7.2)^2=7.2^2+(14)^2=7.4+196=28+196=224\)
7. \(-5-2.(-3-6)+14=-5-2.(-9)+14=-5-(-18)+14=27\)
8. \(19+15.(-3)=19+(-45)=-26\)
9. \(\sqrt{\dfrac{4}{49}}-\left(\dfrac{3}{14}\right)^2= \dfrac{2}{7} - \dfrac{9}{196}= \dfrac{56}{196} - \dfrac{9}{196}= \dfrac{47}{196}\)
10. \((-8).(-11)+9=88+9=97\)
11. \(3-\sqrt{228-8.4^2}=3-\sqrt{228-8.16}=3-\sqrt{228-128}=3-\sqrt{100}=3-10=-7\)
12. \(10+3.8-18:2+8=10+24-9+8=33\)