Question

without actual division,classify the decimal expansionof 7/128​

Answer 1

Hi,♡

Answer:

So 7/128 is a terminating decimal.

Step-by-step explanation:

Given  

5. Without actual division, find which of the following rational numbers have terminating decimal expansion.

7/128

We know that to find p/q is terminating we have

1. P and q are co-prime and

2. Q is of the form $2^{n} 5^{m}$ where n and m are non-negative integers.

1. Checking co-prime.

7 and 128 have no common factors, so 7 and 128 are co-prime.

For denominator, factors are

128 = $2^{7}$

      = $2^{7}$ x $5^{0}$

      = $2^{n} 5^{m}$

So n = 7 and m = 0

So 7/128 is a terminating decimal.

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brainliest plzz.......

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