Quiz about De rekenregels en eigenschappen (3MWWE)

Question 1

Het optellen in R is commutatief

Accepted Answer

$$\sqrt[]{5}+\sqrt[]{11}=\sqrt[]{11}+\sqrt[]{5}$$

Answer

$$5\ +\ \pi\ \in R$$

Answer

$$\left(\sqrt[]{7}+3\right)\ +4\ =\ \sqrt[]{7}+\left(3+4\right)$$

Answer

$$2\pi\ +\ \left(-2\pi\right)=0=\left(-2\pi\right)+2\pi$$

Question 2

Het optellen is overal gedefinieerd in R

Accepted Answer

$$5\ +\ \pi\ \in R$$

Answer

$$\left(\sqrt[]{7}+3\right)\ +4\ =\ \sqrt[]{7}+\left(3+4\right)$$

Answer

$$\sqrt[]{7}+0=0+\sqrt[]{7}$$

Answer

$$2\pi\ +\ \left(-2\pi\right)=0=\left(-2\pi\right)+2\pi$$

Question 3

0 is het neutrale element voor het optellen in R

Accepted Answer

$$\sqrt[]{7}+0=0+\sqrt[]{7}$$

Answer

$$\left(\sqrt[]{7}+3\right)\ +4\ =\ \sqrt[]{7}+\left(3+4\right)$$

Answer

$$2\pi\ +\ \left(-2\pi\right)=0=\left(-2\pi\right)+2\pi$$

Answer

$$\sqrt[]{5}+\sqrt[]{11}=\sqrt[]{11}+\sqrt[]{5}$$

Question 4

Het optellen in R is associatief

Accepted Answer

$$\left(\sqrt[]{7}+3\right)\ +4\ =\ \sqrt[]{7}+\left(3+4\right)$$

Answer

$$5\ +\ \pi\ \in R$$

Answer

$$\sqrt[]{7}+0=0+\sqrt[]{7}$$

Answer

$$2\pi\ +\ \left(-2\pi\right)=0=\left(-2\pi\right)+2\pi$$

Question 5

Het vermeningvuldigen in R is commutatief

Accepted Answer

$$\sqrt[]{5}\cdot\sqrt[]{11}=\sqrt[]{11}\cdot\sqrt[]{5}$$

Answer

$$\left(\sqrt[]{7}\cdot3\right)\ \cdot4\ =\ \sqrt[]{7}\cdot\left(3\cdot4\right)$$

Answer

$$\sqrt[]{7}\cdot1=1\cdot\sqrt[]{7}$$

Answer

$$2\pi\ \cdot\ \left(\frac{1}{2\pi}\right)=0=\left(\frac{1}{2\pi}\right)\cdot2\pi$$

Question 6

Het vermeningvuldigen in R is associatief

Accepted Answer

$$\left(\sqrt[]{7}\cdot3\right)\ \cdot4\ =\ \sqrt[]{7}\cdot\left(3\cdot4\right)$$

Answer

$$5\ \cdot\ \pi\ \in R$$

Answer

$$2\pi\ \cdot\ \left(\frac{1}{2\pi}\right)=0=\left(\frac{1}{2\pi}\right)\cdot2\pi$$

Answer

$$\sqrt[]{5}\cdot\sqrt[]{11}=\sqrt[]{11}\cdot\sqrt[]{5}$$

Question 7

1 is het neutrale element voor het vermenigvuldigen in R

Accepted Answer

$$\sqrt[]{7}\cdot1=1\cdot\sqrt[]{7}$$

Answer

$$5\ \cdot\ \pi\ \in R$$

Answer

$$\left(\sqrt[]{7}\cdot3\right)\ \cdot4\ =\ \sqrt[]{7}\cdot\left(3\cdot4\right)$$

Answer

$$\sqrt[]{5}\cdot\sqrt[]{11}=\sqrt[]{11}\cdot\sqrt[]{5}$$

Question 8

Het vermenigvuldigen is overal gedefinieerd in R

Accepted Answer

$$5\ \cdot\ \pi\ \in R$$

Answer

$$\left(\sqrt[]{7}\cdot3\right)\ \cdot4\ =\ \sqrt[]{7}\cdot\left(3\cdot4\right)$$

Answer

$$\sqrt[]{7}\cdot1=1\cdot\sqrt[]{7}$$

Answer

$$2\pi\ \cdot\ \left(\frac{1}{2\pi}\right)=0=\left(\frac{1}{2\pi}\right)\cdot2\pi$$

Question 9

0 is het opslorpend element voor het vermenigvuldigen in R

Accepted Answer

$$\sqrt[]{7}\cdot0=0$$

Answer

$$\left(\sqrt[]{7}\cdot3\right)\ \cdot4\ =\ \sqrt[]{7}\cdot\left(3\cdot4\right)$$

Answer

$$\sqrt[]{7}\cdot1=1\cdot\sqrt[]{7}$$

Answer

$$\sqrt[]{5}\cdot\sqrt[]{11}=\sqrt[]{11}\cdot\sqrt[]{5}$$

Question 10

$$\left(5+x\right)\cdot\left(y-2\right)=$$

Accepted Answer

$$5y\ -10+xy-2x$$

Answer

$$5y-2x$$

Answer

$$-10xy$$

Answer

$$10xy$$

Question 11

$$\left(4x+24y\right):12=$$

Accepted Answer

$$\frac{x}{3}+2y$$

Answer

$$4x+2y$$

Answer

$$\frac{1}{3}x+24y$$

Answer

$$\frac{28xy}{12}=\frac{14xy}{6}$$

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