Question 1

Given the set $$A = \{0.25, 0.333..., 0.666..., 0.5, 0.8, 0.67, 0.4, 0.6, 0.45, 0.2\}$$, how many elements are rational numbers?

Accepted Answer

$$10$$

Question 2

Which of the following numbers is NOT a rational number?

Accepted Answer

$$\sqrt{2}$$

Question 3

If $$x is a $$rational number, which of the following must also be rational?

Accepted Answer

$$2x$$

Question 4

Which of the following best describes the decimal $$0.666...$$?

Accepted Answer

It is a repeating decimal and a rational number.

Question 5

Which of the following is the correct fraction representation of $$0.45$$?

Accepted Answer

$$\frac{9}{20}$$

Question 6

If $$0.2 is $$written as a fraction, what is its simplest form?

Accepted Answer

$$\frac{1}{5}$$

Question 7

Which of the following sets contains only rational numbers?

Accepted Answer

$$\{0.5, 0.25, 0.8\}$$

Question 8

Which of the following is a correct statement about rational numbers?

Accepted Answer

Every rational number can be written as a fraction $$\frac{p}{q}$$ where $$p$$ and $$q$$ are integers and $$q 
eq 0.$$

Question 9

Which of the following decimals is NOT a rational number?

Accepted Answer

$$0.101001000100001...$$

Question 10

A student claims that $$0.67 is a $$rational number. Which explanation best supports this claim?

Accepted Answer

$$0.67$$ can be written as $$\frac{67}{100}$$, which is a ratio of two integers.

Question 11

Which of the following is the decimal representation of $$\frac{2}{3}$$?

Accepted Answer

$$0.666...$$

Question 12

If a number can be written as a non-terminating, repeating decimal, what type of number is it?

Accepted Answer

Rational number

Question 13

Which of the following is the correct fraction for $$0.8$$?

Accepted Answer

$$\frac{4}{5}$$

Question 14

Which of the following numbers is both rational and an integer?

Accepted Answer

$$0$$

Question 15

Which of the following is a true statement about the set $$A = \{0.25, 0.333..., 0.666..., 0.5, 0.8, 0.67, 0.4, 0.6, 0.45, 0.2\}$$?

Accepted Answer

All elements of $$A$$ are rational numbers.

Identifying Arithmetic Sequences in College Algebra public

Study Guide - Practice Questions