Rational numbers — definition?
Numbers expressed as fractions $\frac{p}{q}$ with integers $p,q$, $q \neq 0$.
Simplification — process?
Divide numerator and denominator by their GCD.
Equivalent fractions — criterion?
Cross-multiplied: $p \times s = r \times q$.
Rational numbers — definition?
Numbers as fractions with integers numerator and denominator, denominator ≠ 0.
Equivalent fractions — criterion?
Cross-multiplied: p×s = r×q.
Simplification — process?
Divide numerator and denominator by GCD.
Rational number — includes?
Includes integers and fractions.
Density of rationals — meaning?
Between any two rationals, another exists.
Addition of fractions — rule?
Use common denominator: ps + rq over qs.
Advantages of rational numbers?
Precise ratios and divisions.
Answer 10 questions on Understanding Rational Numbers.
1. What is a rational number primarily characterized by?
2. How can a fraction be simplified to its lowest terms?
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