Which of the following are rational numbers? Multi-select Choices: (A)–2 (B)0 (C)4 (D)6.83

Define rational number: Define a rational number. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where p is the numerator and q is the denominator, and the denominator q is not zero. Rational numbers include integers, fractions, and terminating or repeating decimals.Evaluate -2: Evaluate choice (A) –2. The number –2 is an integer, and all integers are rational because they can be expressed as a fraction where the denominator is 1 (e.g., –2/1).Evaluate 0: Evaluate choice (B) 0. The number 0 is also an integer, and it is rational because it can be expressed as 0/1.Evaluate 4: Evaluate choice (C) 4. The number 4 is an integer, and like all integers, it is rational because it can be expressed as 4/1.Evaluate 6.83: Evaluate choice (D) 6.83. The number 6.83 is a decimal with two digits after the decimal point. It is a terminating decimal and can be expressed as a fraction (683/100), which makes it a rational number.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which of the following are rational numbers? $\newline$ Multi-select Choices: $\newline$ (A) $-2$ $\newline$ (B) $0$ $\newline$ (C) $4$ $\newline$ (D) $6.83$

View step-by-step help

Full solution

Q. Which of the following are rational numbers?

\newline

Multi-select Choices:

\newline

(A)

-2

\newline

(B)

0

\newline

(C)

4

\newline

(D)

6.83

Define rational number: Define a rational number. $\newline$ A rational number is any number that can be expressed as the quotient or fractions" target="_blank" class="backlink">fraction $\frac{p}{q}$ of two integers, where $p$ is the numerator and $q$ is the denominator, and the denominator $q$ is not zero. Rational numbers include integers, fractions, and terminating or repeating decimals.
Evaluate $-2$ : Evaluate choice (A) $-2$ . The number $-2$ is an integer, and all integers are rational because they can be expressed as a fraction where the denominator is $1$ (e.g., $-2/1$ ).
Evaluate $0$ : Evaluate choice (B) $0$ . $\newline$ The number $0$ is also an integer, and it is rational because it can be expressed as $\frac{0}{1}$ .
Evaluate $4$ : Evaluate choice (C) $4$ . $\newline$ The number $4$ is an integer, and like all integers, it is rational because it can be expressed as $\frac{4}{1}$ .
Evaluate $6.83$ : Evaluate choice (D) $6.83$ . The number $6.83$ is a decimal with two digits after the decimal point. It is a terminating decimal and can be expressed as a fraction $(683/100)$ , which makes it a rational number.