Question

1. Without actual division, show that a rational number 66/180
is a non terminating repeating decimal​

Answer 1

Answer:

Answer is at attachment ..

Answer 2

Answer:

A rational number like 66/180 is a non-terminating repeating decimal.

Step-by-step explanation:

66 = 3 × 2 × 11           = 1 × 1 × 11   = 11            

180    2 × 2 × 5 × 3 × 3    2 × 3 × 5    2 × 3 × 5

∵ Prime factorization is not in the form of 2m5n

∴ A rational number like 66/180 is a non-terminating repeating decimal.