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 its elements are irrational numbers?

Accepted Answer

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

Question 2

Which of the following numbers from the set $$M = \{-1028, -\frac{2050}{5}, -\frac{3}{25}, 0, \frac{4}{21}, 1, \sqrt{24}, 11, 9\pi\} is a $$rational number but not an integer?

Accepted Answer

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

Question 3

Which element in the set $$M is a $$nonzero integer?

Accepted Answer

$$11$$

Question 4

Select the element from $$M$$ that is a multiple of $$\pi.$$

Accepted Answer

$$9\pi$$

Question 5

Which of the following is the best classification for $$\sqrt{24}$$?

Accepted Answer

Irrational number

Question 6

If you add $$\frac{4}{21}$$ and $$1$$ from the set $$M$$, what type of number is the result?

Accepted Answer

Rational number

Question 7

Which of the following numbers from $$M$$ can be written as a terminating decimal?

Accepted Answer

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

Question 8

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

Accepted Answer

$$\sqrt{24}$$

Question 9

If you multiply $$1$$ and $$9\pi$$ from $$M$$, what is the result?

Accepted Answer

$$9\pi$$

Question 10

Which of the following numbers from $$M is $$negative and rational?

Accepted Answer

$$-\frac{2050}{5}$$

Identifying Irrational Numbers in a Set

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