Question

Plz answer
I will mark brainliest

Answer 1

Answer:

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 43/160

, the denominator is 160

We have, 160 = 2 × 2 × 2 × 2 × 5 × 2

Thus, 160 has only 2 and 5 as prime factors.

Hence, 43/160

must have a terminating decimal representation.

∴ Terminating decimal representation of 43/160

= 0.26875

Answer 2

Answer:

the answer is 0.26875

Step-by-step explanation:

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

in 43/160 the denominator is 160

we have 160= 2×2×2×2×2×5

160 has only 2 and 5 as prime factors thus it is a terminating decimal representation

therefore 43/160 = 0.26875 is the answer