Flashcard: Understanding Rational Numbers — 10 carte

Rational numbers — definition?

Numbers expressed as fractions $\frac{p}{q}$ with integers $p,q$, $q \neq 0$.

Rational numbers — definition?

Numbers as fractions with integers numerator and denominator, denominator ≠ 0.

Simplification — process?

Divide numerator and denominator by their GCD.

Equivalent fractions — criterion?

Cross-multiplied: p×s = r×q.

Equivalent fractions — criterion?

Cross-multiplied: $p \times s = r \times q$.

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.