Understanding Rational Numbers | Definition, Examples, and Applications in Mathematics

Rational numbers

Rational numbers refer to any number that can be expressed as a fraction, where the numerator and denominator are both integers, and the denominator is not zero

Rational numbers refer to any number that can be expressed as a fraction, where the numerator and denominator are both integers, and the denominator is not zero. In simpler terms, rational numbers can be written as a ratio of two integers.

Examples of rational numbers include:

– Integers: such as -3, 0, 5
– Fractions: such as 1/2, 3/4, -2/5
– Decimals that repeat or terminate: such as 0.5 (which is equivalent to 1/2), 0.75 (equivalent to 3/4), and 0.4 (equivalent to 2/5).

Rational numbers can be positive or negative, and they can also be whole numbers, mixed numbers (combination of whole numbers and fractions), or proper/improper fractions.

It is important to note that not all real numbers are rational. Irrational numbers, on the other hand, cannot be expressed as a fraction and include examples like the square root of 2 (√2), π (pi), and e (Euler’s number).

In mathematics, rational numbers play a significant role in various operations, including addition, subtraction, multiplication, and division. They are commonly used in practical applications such as calculations, measurements, and proportions.

More Answers:
Understanding the Relationship | All Integers as Rational Numbers Explained
Understanding Integers | Properties, Operations, and Applications in Mathematics
Understanding Whole Numbers | Definition, Properties, and Applications

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