Question

What kind of decimal expansion 3/96 has *
a) Terminating
b) non-terminating non-recurring
c) non-terminating recurring
d) none of these​

Answer 1

Answer:

terminating decimal expansion

Answer 2

Given :  decimal expansion 3/96

To Find :  Correct option

a) Terminating

b) non-terminating non-recurring

c) non-terminating recurring

d) none of these​

Solution:

3/96

Convert into simple fraction

= 3/ 3 * 32

= 1/32

Prime factorize 32

32 = 2 * 2 * 2 * 2 * 2

= 1 / (2 * 2 * 2 * 2 * 2)

After converting into simple fraction  if there is no prime factor other than 2 or 5  in denominator  then  fraction is said to be terminating decimal

As here  only prime factor 2 is in denominator

Hence its a terminating decimal

3/96 is terminating decimal

3/96 = 0.03125

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