# Volgorde van bewerkingen (gevorderd)

#### Reken uit

1. $$8.2^2+(8.2)^2$$
2. $$\sqrt{\dfrac{16}{49}}-\left(\dfrac{3}{14}\right)^2$$
3. $$\left(-\dfrac{7}{4}\cdot\dfrac{32}{77}-\dfrac{1}{11}\right)^2$$
4. $$\sqrt{\dfrac{81}{64}}-\left(\dfrac{13}{16}\right)^2$$
5. $$10+7.4^2-6$$
6. $$\left(-\dfrac{5}{3}\cdot\dfrac{33}{65}-\dfrac{1}{13}\right)^2$$
7. $$2+8.7^2-3$$
8. $$5+8.3-55:5+7$$
9. $$\dfrac{11}{5}-\dfrac{9}{5}\cdot\dfrac{2}{9}$$
10. $$\dfrac{11}{4}-\dfrac{9}{4}\cdot\dfrac{10}{9}$$
11. $$3.4^2+(3.4)^2$$
12. $$\left(-\dfrac{7}{5}\cdot\dfrac{55}{91}-\dfrac{1}{13}\right)^2$$

#### Reken uit

##### Verbetersleutel

1. $$8.2^2+(8.2)^2=8.2^2+(16)^2=8.4+256=32+256=288$$
2. $$\sqrt{\dfrac{16}{49}}-\left(\dfrac{3}{14}\right)^2= \dfrac{4}{7} - \dfrac{9}{196}= \dfrac{112}{196} - \dfrac{9}{196}= \dfrac{103}{196}$$
3. $$\left(-\dfrac{7}{4}\cdot\dfrac{32}{77}-\dfrac{1}{11}\right)^2= \left(-\dfrac{7.32}{4.77}-\dfrac{1}{11}\right)^2= \left(-\dfrac{8}{11}-\dfrac{1}{11}\right)^2= \left(-\dfrac{8}{11}-\dfrac{1}{11}\right)^2= \left(\dfrac{-9}{11}\right)^2= \dfrac{81}{121}$$
4. $$\sqrt{\dfrac{81}{64}}-\left(\dfrac{13}{16}\right)^2= \dfrac{9}{8} - \dfrac{169}{256}= \dfrac{288}{256} - \dfrac{169}{256}= \dfrac{119}{256}$$
5. $$10+7.4^2-6=10+7.16-6=10+112-6=116$$
6. $$\left(-\dfrac{5}{3}\cdot\dfrac{33}{65}-\dfrac{1}{13}\right)^2= \left(-\dfrac{5.33}{3.65}-\dfrac{1}{13}\right)^2= \left(-\dfrac{11}{13}-\dfrac{1}{13}\right)^2= \left(-\dfrac{11}{13}-\dfrac{1}{13}\right)^2= \left(\dfrac{-12}{13}\right)^2= \dfrac{144}{169}$$
7. $$2+8.7^2-3=2+8.49-3=2+392-3=391$$
8. $$5+8.3-55:5+7=5+24-11+7=25$$
9. $$\dfrac{11}{5}-\dfrac{9}{5}\cdot\dfrac{2}{9}= \dfrac{11}{5}-\dfrac{9\cdot 2}{5\cdot9}= \dfrac{11}{5}-\dfrac{2}{5}= \dfrac{11-2}{5}= \dfrac{9}{5}$$
10. $$\dfrac{11}{4}-\dfrac{9}{4}\cdot\dfrac{10}{9}= \dfrac{11}{4}-\dfrac{9\cdot 10}{4\cdot9}= \dfrac{11}{4}-\dfrac{10}{4}= \dfrac{11-10}{4}= \dfrac{1}{4}$$
11. $$3.4^2+(3.4)^2=3.4^2+(12)^2=3.16+144=48+144=192$$
12. $$\left(-\dfrac{7}{5}\cdot\dfrac{55}{91}-\dfrac{1}{13}\right)^2= \left(-\dfrac{7.55}{5.91}-\dfrac{1}{13}\right)^2= \left(-\dfrac{11}{13}-\dfrac{1}{13}\right)^2= \left(-\dfrac{11}{13}-\dfrac{1}{13}\right)^2= \left(\dfrac{-12}{13}\right)^2= \dfrac{144}{169}$$
Oefeningengenerator vanhoeckes.be/wiskunde 2021-12-02 01:42:09