Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

Question: 1 / 400

Which of the following is an example of a rational number?

√2

-3/4

A rational number is defined as a number that can be expressed as the quotient or fraction \( \frac{a}{b} \) where \( a \) and \( b \) are integers, and \( b \) is not zero.

In this instance, the number -3/4 fits perfectly into this definition since it is expressed as a fraction where both -3 and 4 are integers, and the denominator is not zero. This confirms that it is indeed a rational number.

On the contrary, the other choices do not satisfy the criteria for rational numbers. For example, the square root of 2 (√2) is an irrational number, as it cannot be expressed as a simple fraction of two integers. Similarly, both π (pi) and e (the base of natural logarithms) are also classified as irrational numbers, as they cannot be represented accurately as fractions of integers. Therefore, -3/4 stands out as the only rational number among the choices provided.

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π

e

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