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Is -3 a rational number?

Ask by Wells Wang. in the United States
Mar 18,2025

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Tutor-Verified Answer

Answer

-3 is a rational number because it can be written as \( \frac{-3}{1} \).

Solution

Yes, -3 is a rational number. A rational number is defined as any number that can be expressed as the quotient or fraction \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \). In the case of -3, it can be expressed as \( \frac{-3}{1} \), where -3 is the integer \( a \) and 1 is the integer \( b \). Since both -3 and 1 are integers and 1 is not zero, -3 qualifies as a rational number.

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Absolutely! -3 is a rational number because it can be expressed as a fraction, specifically -3/1. Rational numbers include all integers, fractions, and finite or repeating decimals. So if it can be written as a ratio of two integers, it's considered rational! If you think about it, every whole number (positive or negative) can be represented as a fraction, making them all part of the rational family. That's why -3 comfortably fits in with its rational buddies!

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