Question 1

Consider the set $$M = \{-1028,\ -\frac{2050}{5},\ -\frac{3}{25},\ 0,\ \frac{4}{21},\ 1,\ \sqrt{24},\ 11,\ 9\pi\}. $$Which of the following lists contains all and only the irrational numbers from $$M$$?

Accepted Answer

$$\sqrt{24},\ 9\pi$$

Question 2

Which of the following numbers is both a real number and not a rational number?

Accepted Answer

$$\sqrt{24}$$

Question 3

If you add all the rational numbers in the set $$M = \{-1028,\ -\frac{2050}{5},\ -\frac{3}{25},\ 0,\ \frac{4}{21},\ 1,\ \sqrt{24},\ 11,\ 9\pi\}$$, what is the result?

Accepted Answer

$$-1028 + (-410) + (-0.12) + 0 + 0.19 + 1 + 11$$

Question 4

Which of the following best describes the number $$9\pi$$?

Accepted Answer

It is an irrational number.

Question 5

Which of the following numbers from the set $$M is a $$perfect square?

Accepted Answer

$$1$$

Question 6

Which of the following numbers from the set $$M is a $$negative rational number?

Accepted Answer

$$-\frac{3}{25}$$

Question 7

Which of the following numbers from the set $$M is a $$non-integer rational number?

Accepted Answer

$$-\frac{3}{25}$$

Question 8

Which of the following numbers from the set $$M is $$both positive and irrational?

Accepted Answer

Both $$\sqrt{24}$$ and $$9\pi$$

Question 9

Which of the following numbers from the set $$M is an $$integer?

Accepted Answer

$$-1028$$

Question 10

Which of the following numbers from the set $$M is a $$rational number but not an integer?

Accepted Answer

$$-\frac{3}{25}$$

Identifying Irrational Numbers in a Set

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