
Что означает рациональные дроби


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What are rational numbers?
Rational numbers are numbers that can be expressed as a ratio of two integers. In other words, a number is rational if it can be written as p/q, where p and q are integers, and q ≠ 0.
Some key properties and examples of rational numbers include:
- Fractions like 1/2, 3/4, 5/7 are rational numbers. - Decimals that terminate or repeat, like 0.5, 0.25, 1.375 are also rational numbers. - Integers like -5, 0, 15 are rational numbers, as they can be written as ratios where the denominator is 1. - Percentages like 25%, 75% are rational numbers, as they represent fractions out of 100. 25% = 25/100. - Roots of polynomials with rational coefficients are rational. For example, √2 is not rational, as it is the root of x^2 - 2, whose coefficients are integers.
To summarize, a number is rational if it can be represented as the ratio of two integers. Common examples include fractions, terminating decimals, integers and percentages. Irrational numbers on the other hand cannot be expressed as a ratio of integers, like π and √2.


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