Question

Without actual division determine the decimal expression of 13 375 as terminating or non-terminating and recurring​

Answer 1

Answer:

Step-by-step explanation:

We know that if the denominator of a rational number has no prime factors other than 2 or 5, then it is expressible as a terminating, otherwise it has non terminating repeating decimal representation. Thus, we will have to check the prime factors of the denominators of each of the given rational numbers.

In 13, the denominator is 80.

80

We have, 80 = 2×2×2×2×5.

Thus, 80 has only 2 and 5 as prime factors.

13 Hence, must have a terminating decimal representation.

Terminating decimal representation of

13 = 0.1625