Volgorde van bewerkingen (gevorderd)

Hoofdmenu Eentje per keer  🖨

Reken uit

1. \(12+6.(-7)\)
2. \(15+13-2.(-17)\)
3. \(12+19.(-10)\)
4. \(-14-5.(-10-13)+8\)
5. \(\sqrt{\dfrac{4}{49}}-\left(\dfrac{3}{14}\right)^2\)
6. \(8-\sqrt{652-3.11^2}\)
7. \(\dfrac{12}{5}-\dfrac{8}{5}\cdot\dfrac{11}{8}\)
8. \((-2).(-11)+11\)
9. \(-13-8.(-7-13)+16\)
10. \(-16.9^2+13\)
11. \(-70:10+80:(-8)\)
12. \(\sqrt{\dfrac{16}{9}}-\left(\dfrac{5}{6}\right)^2\)

---

Reken uit

Verbetersleutel

1. \(12+6.(-7)=12+(-42)=-30\)
2. \(15+13-2.(-17)=15+13+34=62\)
3. \(12+19.(-10)=12+(-190)=-178\)
4. \(-14-5.(-10-13)+8=-14-5.(-23)+8=-14-(-115)+8=109\)
5. \(\sqrt{\dfrac{4}{49}}-\left(\dfrac{3}{14}\right)^2= \dfrac{2}{7} - \dfrac{9}{196}= \dfrac{56}{196} - \dfrac{9}{196}= \dfrac{47}{196}\)
6. \(8-\sqrt{652-3.11^2}=8-\sqrt{652-3.121}=8-\sqrt{652-363}=8-\sqrt{289}=8-17=-9\)
7. \(\dfrac{12}{5}-\dfrac{8}{5}\cdot\dfrac{11}{8}= \dfrac{12}{5}-\dfrac{8\cdot 11}{5\cdot8}= \dfrac{12}{5}-\dfrac{11}{5}= \dfrac{12-11}{5}= \dfrac{1}{5}\)
8. \((-2).(-11)+11=22+11=33\)
9. \(-13-8.(-7-13)+16=-13-8.(-20)+16=-13-(-160)+16=163\)
10. \(-16.9^2+13=-16.81+13=-1296+13=-1283\)
11. \(-70:10+80:(-8)=-7+(-10)=-17\)
12. \(\sqrt{\dfrac{16}{9}}-\left(\dfrac{5}{6}\right)^2= \dfrac{4}{3} - \dfrac{25}{36}= \dfrac{48}{36} - \dfrac{25}{36}= \dfrac{23}{36}\)