Volgorde van bewerkingen (gevorderd)

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1. \(4+2.4-12:2+5\)
2. \(4-\sqrt{171-3.3^2}\)
3. \(3+2.7-22:2+3\)
4. \(-14.3^2+18\)
5. \(\dfrac{14}{3}-\dfrac{11}{3}\cdot\dfrac{5}{11}\)
6. \(15+20-17.(-12)\)
7. \(\left(-\dfrac{5}{2}\cdot\dfrac{8}{35}-\dfrac{1}{7}\right)^2\)
8. \(6-\sqrt{352-7.6^2}\)
9. \(6+3.5-44:4+2\)
10. \(70-35:7+11\)
11. \((-4).(-4)+20\)
12. \((-2).(-9)+18\)

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Verbetersleutel

1. \(4+2.4-12:2+5=4+8-6+5=11\)
2. \(4-\sqrt{171-3.3^2}=4-\sqrt{171-3.9}=4-\sqrt{171-27}=4-\sqrt{144}=4-12=-8\)
3. \(3+2.7-22:2+3=3+14-11+3=9\)
4. \(-14.3^2+18=-14.9+18=-126+18=-108\)
5. \(\dfrac{14}{3}-\dfrac{11}{3}\cdot\dfrac{5}{11}= \dfrac{14}{3}-\dfrac{11\cdot 5}{3\cdot11}= \dfrac{14}{3}-\dfrac{5}{3}= \dfrac{14-5}{3}= \dfrac{9}{3}= \dfrac{3}{1}\)
6. \(15+20-17.(-12)=15+20+204=239\)
7. \(\left(-\dfrac{5}{2}\cdot\dfrac{8}{35}-\dfrac{1}{7}\right)^2= \left(-\dfrac{5.8}{2.35}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(-\dfrac{4}{7}-\dfrac{1}{7}\right)^2= \left(\dfrac{-5}{7}\right)^2= \dfrac{25}{49}\)
8. \(6-\sqrt{352-7.6^2}=6-\sqrt{352-7.36}=6-\sqrt{352-252}=6-\sqrt{100}=6-10=-4\)
9. \(6+3.5-44:4+2=6+15-11+2=12\)
10. \(70-35:7+11=70-5+11=76\)
11. \((-4).(-4)+20=16+20=36\)
12. \((-2).(-9)+18=18+18=36\)