Question

without actually performing long division state whether the 21/16 rational no will have a terminating decimal expansion or non terminating repeating decimal expansion​

Answer 1

Step-by-step explanation:

21/16

observing the prime factorization of the denominator

16 = 2*2*2*2 = 2^4 * 5^0

so 16 can be written in the form of 2^n * 5^m. then this fraction is said to be have a terminating decimal expansion...

plzz follow me and mark this answer as the brainliest...

Answer 2

Answer:

terminating

Step-by-step explanation:

given number is 21/ 16

we see that,

16 = 2×2×2×2

= 2^4

= 2^4 × 5^0

from this we can conclude that, the decimal expression of 21/16 is terminating.