3. Which of the following is an example of a rational number? (1 point)

Responses

2–√
square root of 2

14
1 fourth

π

1 answer

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

From the options given:

  • \( 2 - \sqrt{2} \) is not a rational number because \( \sqrt{2} \) is an irrational number, so the difference is also irrational.
  • \( 14 \) is a rational number because it can be expressed as \( \frac{14}{1} \).
  • \( \frac{1}{4} \) is a rational number because it is already in the form of a fraction \( \frac{1}{4} \).
  • \( \pi \) is an irrational number and cannot be expressed as a fraction.

Therefore, both \( 14 \) and \( \frac{1}{4} \) are examples of rational numbers. However, if you can select only one answer, the best answer would be:

14