Question

without actual division , determine which of the following rational numbers have a terminating decimal representation : First 5/50 second 20/80 Third 5/21​

Answer 1

Step-by-step explanation:

1) 5/50 = 1/10

10 is a multiple of 2 and 5 and so it has a terminating decimal expansion

2) 20/80 = 1/4

4 = 2*2

so, it also has a terminating decimal expansion

3) 5/21

21 does not have either 2 or 5 as its prime factors so it does not a terminating decimal expansion