Maths-
General
Easy

Question

Without doing any actual division, find which of the following is a terminating decimal or not:123 over 125

hintHint:

Hint:
Numbers with a fixed or finite number of digits following the decimal point are known as terminating decimals and numbers with infinite decimal places are known as non-terminating decimals.
 

The correct answer is: terminating decimal


    Let x = p/q be a rational number such that the prime factorisation of q is in form 2m5n, where m and n are non-negative integers, then x will have a terminating decimal expansion.
    x equals 123 over 125
    In the given rational number, the value of q is 125. The factorisation of 125 is given as
    125 equals 5 cubed equals 2 to the power of m 5 to the power of n
    Final Answer:
    As the factorisation of 125 is in the form of 2m5n,23 over 175  will have terminating decimal expansion.

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