Subjects algebra

Identify Rational Bdb3D1

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem is to identify rational numbers from a given set. 2. A rational number is any number that can be expressed as $\frac{p}{q}$ where $p$ and $q$ are integers and $q \neq 0$. 3. Examples of rational numbers include integers, fractions, and decimals that terminate or repeat. 4. To identify rational numbers, check if the number can be written as a fraction with integer numerator and denominator. 5. For example, $0.75$ is rational because $0.75 = \frac{3}{4}$. 6. Another example, $0.333...$ (repeating) is rational because it equals $\frac{1}{3}$. 7. Numbers like $\sqrt{2}$ or $\pi$ are not rational because they cannot be expressed as fractions. 8. Therefore, to identify rational numbers, convert decimals to fractions or check if the number fits the fraction form. Final answer: Rational numbers are those that can be expressed as $\frac{p}{q}$ with integers $p,q$ and $q \neq 0$.