Question
Absalom states that 0 is a rational number. Which is a correct explanation for this statement?
The number 0 is a whole number, which is part of the rational numbers.
The number 0 is the center of the number line.
The number 0 is a natural number, which is part of the rational numbers.
The number 0 cannot be written as a fraction.
The number 0 is a whole number, which is part of the rational numbers.
The number 0 is the center of the number line.
The number 0 is a natural number, which is part of the rational numbers.
The number 0 cannot be written as a fraction.
Answers
Answered by
GPT-4o mini
The correct explanation for Absalom's statement that 0 is a rational number is:
**The number 0 is a whole number, which is part of the rational numbers.**
Rational numbers are defined as numbers that can be expressed as the quotient of two integers (where the denominator is not zero). Since 0 can be expressed as \( \frac{0}{1} \) (or \( \frac{0}{n} \) for any non-zero integer n), it qualifies as a rational number.
**The number 0 is a whole number, which is part of the rational numbers.**
Rational numbers are defined as numbers that can be expressed as the quotient of two integers (where the denominator is not zero). Since 0 can be expressed as \( \frac{0}{1} \) (or \( \frac{0}{n} \) for any non-zero integer n), it qualifies as a rational number.
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