Question

Write whether the rational number 2/75 will have a terminating repeating decimal expansion or a non terminating repeating decimal expansion

Answer 1

Answer:

Step-by-step explanation:

See if 75=2^m×5^n. [m,n€+integers]

75=5×5×3 not=2^m×5^n

Therefore, 2/75 will have non terminating,repeating decimal expansion

Answer 2

$\huge\red {Hlo}$

1. The decimal expansion of a rational number always either terminates after finitely many digits or begins to repeat the same sequence of digits over and over.

2. Moreover,any repeating or terminating decimal represents a rational number.