# Volgorde van bewerkingen (gevorderd)

#### Reken uit

1. $$6.2^2+(6.2)^2$$
2. $$-4.20^2+16$$
3. $$4+3.7^2-10$$
4. $$2+9.4-36:3+9$$
5. $$\dfrac{8}{7}-\dfrac{6}{7}\cdot\dfrac{11}{6}$$
6. $$-24:8+56:(-7)$$
7. $$\dfrac{12}{7}-\dfrac{10}{7}\cdot\dfrac{3}{10}$$
8. $$8.4^2+(8.4)^2$$
9. $$18+63:(-7)$$
10. $$\left(-\dfrac{4}{5}\cdot\dfrac{45}{48}-\dfrac{1}{12}\right)^2$$
11. $$105-35:7+7$$
12. $$\sqrt{\dfrac{196}{9}}-\left(\dfrac{13}{6}\right)^2$$

#### Reken uit

##### Verbetersleutel

1. $$6.2^2+(6.2)^2=6.2^2+(12)^2=6.4+144=24+144=168$$
2. $$-4.20^2+16=-4.400+16=-1600+16=-1584$$
3. $$4+3.7^2-10=4+3.49-10=4+147-10=141$$
4. $$2+9.4-36:3+9=2+36-12+9=35$$
5. $$\dfrac{8}{7}-\dfrac{6}{7}\cdot\dfrac{11}{6}= \dfrac{8}{7}-\dfrac{6\cdot 11}{7\cdot6}= \dfrac{8}{7}-\dfrac{11}{7}= \dfrac{8-11}{7}= \dfrac{-3}{7}$$
6. $$-24:8+56:(-7)=-3+(-8)=-11$$
7. $$\dfrac{12}{7}-\dfrac{10}{7}\cdot\dfrac{3}{10}= \dfrac{12}{7}-\dfrac{10\cdot 3}{7\cdot10}= \dfrac{12}{7}-\dfrac{3}{7}= \dfrac{12-3}{7}= \dfrac{9}{7}$$
8. $$8.4^2+(8.4)^2=8.4^2+(32)^2=8.16+1024=128+1024=1152$$
9. $$18+63:(-7)=18+ (-9)=9$$
10. $$\left(-\dfrac{4}{5}\cdot\dfrac{45}{48}-\dfrac{1}{12}\right)^2= \left(-\dfrac{4.45}{5.48}-\dfrac{1}{12}\right)^2= \left(-\dfrac{3}{4}-\dfrac{1}{12}\right)^2= \left(-\dfrac{9}{12}-\dfrac{1}{12}\right)^2= \left(\dfrac{-10}{12}\right)^2= \left(\dfrac{-5}{6}\right)^2= \dfrac{25}{36}$$
11. $$105-35:7+7=105-5+7=107$$
12. $$\sqrt{\dfrac{196}{9}}-\left(\dfrac{13}{6}\right)^2= \dfrac{14}{3} - \dfrac{169}{36}= \dfrac{168}{36} - \dfrac{169}{36}= \dfrac{-1}{36}$$
Oefeningengenerator vanhoeckes.be/wiskunde 2022-05-24 03:48:19