Question

without actual division find which of the following rational number are terminating does decimal 5 by 12​

Answer 1

Answer:

5/12 is non terminating and  16/125 is a terminating decimal

Step-by-step explanation:

For terminating decimal the prime factorisation of denominator should only contain the factor 2 or factor 5 or both factors 2 and 5.  

prime factorisation of denominator containing factors 2 & any other number or factors 5 & any other number or faciors 2,5 & any other  number are non terminating decimals.

a)

5/12 is not a terminating decimal since the prime factorisation of 12 contains the factors  2 & 3 i.e., 12=2X2X3

b)

16/125 is a terminating decimal since the prime factorisation of 125 contains the factors only 5 i.e.,125=5X5X5

Answer 2

Answer:

5/12 is non terminating and  16/125 is a terminating decimal

Step-by-step explanation:

For terminating decimal the prime factorisation of denominator should only contain the factor 2 or factor 5 or both factors 2 and 5.  

prime factorisation of denominator containing factors 2 & any other number or factors 5 & any other number or faciors 2,5 & any other  number are non terminating decimals.

a)

5/12 is not a terminating decimal since the prime factorisation of 12 contains the factors  2 & 3 i.e., 12=2X2X3

b)

16/125 is a terminating decimal since the prime factorisation of 125 contains the factors only 5 i.e.,125=5X5X5