Chapter 1/exercise 1.1/Question 1/ new math syllabus/Punjab text book board

Rational Numbers:

A rational number is any number that can be written as a fraction (i.e., in the form p/q, where p and q are integers and q ≠ 0).

Examples:

1/2, -3/4, 5 (because 5 = 5/1), 0.75 (because 0.75 = 3/4), -2


Key Features:

Can be positive or negative

Includes integers, fractions, and terminating or repeating decimals

The decimal expansion either terminates (e.g., 0.5) or repeats (e.g., 0.333...)
Irrational Numbers:

An irrational number is a number that cannot be written as a fraction of two integers.

Examples:

√2, √3, π (pi), e, 0.101001000100001… (non-repeating, non-terminating decimal)


Key Features:

The decimal expansion does not terminate and does not repeat

Cannot be expressed exactly as a fraction

Commonly occur in geometry (like √2 from the diagonal of a square

Summary:

Let me know if you need this in Urdu or with a diagram.