Quiz about Review: Irrational Numbers

Question 1

$$\frac{3}{17}$$

Accepted Answer

Rational because decimal repeats or terminates.

Answer

Irrational because decimal does not repeat or terminate.

Question 2

$$\frac{5}{8}$$

Accepted Answer

Rational because decimal repeats or terminates.

Answer

Irrational because decimal does not repeat or terminate.

Question 3

$$-12\pi$$

Accepted Answer

Irrational because decimal does not repeat or terminate.

Answer

Rational because decimal repeats or terminates.

Question 4

$$5\pi$$

Accepted Answer

Irrational because decimal does not repeat or terminate.

Answer

Rational because decimal repeats or terminates.

Question 5

$$\sqrt{2}$$

Accepted Answer

Irrational because decimal does not repeat or terminate.

Answer

Rational because decimal repeats or terminates.

Question 6

$$\frac{7}{11}$$

Accepted Answer

Rational because decimal repeats or terminates.

Answer

Irrational because decimal does not repeat or terminate.

Question 7

$$\pi + 1$$

Accepted Answer

Irrational because decimal does not repeat or terminate.

Answer

Rational because decimal repeats or terminates.

Question 8

$$\sqrt{3}$$

Accepted Answer

Irrational because decimal does not repeat or terminate.

Answer

Rational because decimal repeats or terminates.

Question 9

$$\frac{1}{3}$$

Accepted Answer

Rational because decimal repeats or terminate.

Answer

Irrational because decimal does not repeat or terminate.

Question 10

$$\pi^2$$

Accepted Answer

Irrational because decimal does not repeat or terminate.

Answer

Rational because decimal repeats or terminates.

Question 11

$$\pi - 2$$

Accepted Answer

Irrational because decimal does not repeat or terminate.

Answer

Rational because decimal repeats or terminates.

Question 12

$$\sqrt[2]{49}$$

Accepted Answer

Rational because it can be written as an integer or fraction.

Answer

Irrational because it cannot be written as a fraction.

Question 13

$$\sqrt[3]{49}$$

Accepted Answer

Irrational because it cannot be written as an integer or fraction.

Answer

Rational because it can be written as an integer or fraction.

Question 14

$$\sqrt[3]{27}$$

Accepted Answer

Rational because it can be written as an integer or fraction.

Answer

Irrational because it cannot be written as an integer or fraction.

Question 15

$$\sqrt[2]{27}$$

Accepted Answer

Irrational because it cannot be written as an integer or fraction.

Answer

Rational because it can be written as an integer or fraction.

Question 16

$$\sqrt[3]{216}$$

Accepted Answer

Rational because it can be written as an integer or fraction.

Answer

Irrational because it cannot be written as an integer or fraction.

Question 17

$$\sqrt[2]{216}$$

Accepted Answer

Irrational because it cannot be written as an integer or fraction.

Answer

Rational because it can be written as an integer or fraction.

Question 18

Write $$0.\overline{25}$$ as a fraction.

Accepted Answer

25/99

Answer

20/99

Answer

2/9

Answer

5/9

Question 19

Write $$0.2\overline{5}$$ as a fraction.

Accepted Answer

23/90

Answer

25/99

Answer

25/90

Answer

2/5

Question 20

Write $$0.\overline{15}$$ as a fraction.

Accepted Answer

5/33

Answer

15/90

Answer

7/45

Answer

14/90

Question 21

Write $$0.1\overline{5}$$ as a fraction.

Accepted Answer

7/45

Answer

5/33

Answer

15/90

Answer

14/90

Question 22

Convert $$0.2\overline{3}$$ to a fraction.

Accepted Answer

7/30

Answer

23/99

Answer

2/9

Answer

7/33

Question 23

Convert $$0.1\overline{6}$$ to a fraction.

Accepted Answer

1/6

Answer

5/33

Answer

1/9

Answer

5/30

Question 24

Convert $$0.2\overline{7}$$ to a fraction.

Accepted Answer

5/18

Answer

2/9

Answer

5/22

Answer

7/33

Question 25

Convert $$0.\overline{27}$$ to a fraction.

Accepted Answer

3/11

Answer

2/9

Answer

5/22

Answer

7/33

Question 26

$$\sqrt[2]{5}$$ lie between which points on the number line?

Accepted Answer

M and N

Answer

L and M

Answer

N and O

Answer

O and P

Question 27

$$\sqrt[2]{3}+2$$ lie between which points on the number line?

Accepted Answer

N and O

Answer

L and M

Answer

M and N

Answer

O and P

Question 28

$$\sqrt[2]{3}\pi$$ lie between which points on the number line?

Accepted Answer

P and Q

Answer

Q and R

Answer

N and O

Answer

O and P

Question 29

$$\sqrt[2]{3}+1$$ lie between which points on the number line?

Accepted Answer

M and N

Answer

P and Q

Answer

N and O

Answer

O and P

Question 30

$$5\ \sqrt[]{3}$$ lie between which points on the number line?

Accepted Answer

S and T

Answer

P and Q

Answer

M and N

Answer

O and P

Question 31

$$5\ \sqrt[]{5}-2$$ lie between which points on the number line?

Accepted Answer

T and U

Answer

P and Q

Answer

M and N

Answer

S and T

Question 32

$$2\ \sqrt[]{5}$$ lie between which points on the number line?

Accepted Answer

O and P

Answer

P and Q

Answer

M and N

Answer

T and U

Question 33

$$\pi+\sqrt[]{6}$$ lie between which points on the number line?

Accepted Answer

P and Q

Answer

M and N

Answer

O and P

Answer

T and U

Question 34

$$\pi+2$$ lie between which points on the number line?

Accepted Answer

P and Q

Answer

M and N

Answer

O and P

Answer

T and U

Review: Irrational Numbers

34 questions

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