Question

Which of the following is a rational number?(1 point) Responses
π
7–√
7.8
8/8√

Answer 1

A rational number is defined as a number that can be expressed as a fraction \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \).

Let's evaluate the options:

1. \( \pi \) - This is an irrational number as it cannot be expressed as a fraction of two integers.
2. \( 7 - \sqrt{7} \) - This expression is not a rational number because \( \sqrt{7} \) is irrational, and subtracting it from 7 does not yield a rational number.
3. \( 7.8 \) - This is a decimal which can be expressed as \( \frac{78}{10} \) or \( \frac{39}{5} \), thus it is a rational number.
4. \( 8/8\sqrt{} \) - The notation seems incomplete, but assuming it implies \( \frac{8}{8\sqrt{}} \) (for instance \( \frac{8}{8\sqrt{7}} \)), this could either be a rational number or result in a different classification based on the square root involved.

Out of the options, the clearest rational number is **7.8**.