Maths-
General
Easy

Question

Without performing the actual division, check whether the following rational numbers are terminating or non-terminating157 over 12.

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: non-terminating decimal expansion.


    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 = 157 over 12
    In the given rational number, the value of q is 12. The factorisation of 12 is given as
    12 equals 2 squared cross times 3 not equal to 2 to the power of m 5 to the power of n
    Final Answer:
    As the factorisation of 12 is not in the form of 2m5n,  157 over 12will have non-terminating decimal expansion.

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