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Which of the following are rational numbers? $\newline$ Multi-select Choices: $\newline$ (A) $2.225$ $\newline$ (B) $1$ $\newline$ (C) $3$ $\newline$ (D) $0$

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Classify numbers

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Q. Which of the following are rational numbers?

\newline

Multi-select Choices:

\newline

(A)

2.225

\newline

(B)

1

\newline

(C)

3

\newline

(D)

0

Define Rational Number: Define what a rational number is. $\newline$ A rational number is any number that can be expressed as the quotient or fraction $\frac{p}{q}$ of two integers, where $p$ and $q$ are integers and $q$ is not zero. Rational numbers include integers, fractions, and terminating or repeating decimals.
Check $2$ . $225$ : Determine if choice (A) $2.225$ is a rational number. $\newline$ $2.225$ is a terminating decimal because it ends after a finite number of decimal places. Therefore, it can be expressed as a fraction with an integer numerator and a power of $10$ as the denominator. In this case, $2.225 = \frac{2225}{1000}$ , which is a fraction of two integers.
Check $1$ : Determine if choice (B) $1$ is a rational number. $\newline$ $1$ is an integer, and all integers are rational numbers because they can be expressed as a fraction with $1$ as the denominator. In this case, $1 = \frac{1}{1}$ .
Check $3$ : Determine if choice (C) $3$ is a rational number. $\newline$ $3$ is an integer, and as previously stated, all integers are rational numbers. In this case, $3 = \frac{3}{1}$ .
Check $0$ : Determine if choice (D) $0$ is a rational number. $\newline$ $0$ is an integer, and it is also a rational number because it can be expressed as $0/1$ or $0/q$ for any non-zero integer $q$ .

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