REAL NUMBER
FUNDAMENTALS
- Rational numbers: Numbers which can be written in the form of\[\frac{p}{q}(q\ne 0)\], where p and q are integers, are called rational numbers.
Note: Every terminating decimal and non-terminating repeating decimal can be expressed as a rational number,
- Irrational numbers: Numbers which cannot be written in the form of \[\frac{p}{q}\]where p and q are integers and q ^ 0 are called irrational, numbers. Numbers which are not rational are called irrational numbers.
- Real numbers: The rational numbers and the irrational numbers together are called real numbers. Both rational & irrational numbers real line on number line.
Note: Any number that can be represented on a number line is called a real number.
- Lemma: A proven statement which is used to prove another more...