Terminating and non terminating expansion rational …

HOPE THIS WOULD HELP U TO UNDERSTAND ??

For understanding u, terminating means decimal ke baad jb no. Pura complete ho jayata hai...then that no.is terminating no.for eg. 34525/2 = 17262.5 WHEREAS non terminating vo hote hai jiska end na ho ...i mean jo continuously chalte rehete hai.... for eg. If there is any no. When we divide the no. Not ends...let it may be 4.090090009900009...........so on.......

Integers are positive and negative whole numbers including zero, such as {-3, -2, -1, 0, 1, 2, 3}. When these whole numbers are written in the form of ratio of whole numbers it is known as rational numbers. So, rational numbers can be positive, negative or zero. So, a rational number can be expressed in the form of p/q where ‘p’ and ‘q’ are integers and ‘q’ is not equal to zero. Rational Numbers in Decimal Fractions: Rational numbers can be expressed in the form of decimal fractions. These rational numbers when converted into decimal fractions can be both terminating and non-terminating decimals. Terminating decimals: Terminating decimals are those numbers which come to an end after few repetitions after decimal point. Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals. Non terminating decimals: Non terminating decimals are those which keep on continuing after decimal point (i.e. they go on forever). They don’t come to end or if they do it is after a long interval. For example: π = (3.141592653589793238462643383279502884197169399375105820974.....) is an example of non terminating decimal as it keeps on continuing after decimal point. If a rational number (≠ integer) can be expressed in the form p2n×5m, where p ∈ Z, n ∈ W and m ∈ W, the rational number will be a terminating decimal. Otherwise, the rational number will be a nonterminating, recurring decimal.