Show that :
(i) `(3)/(250)` (ii) `(11)/(50)`
are terminating decimals. Express each of them in decimal form without actual division (long division).

Explanation

To show that the fractions \( \frac{3}{250} \) and \( \frac{11}{50} \) are terminating decimals and to express each in decimal form without actual long division, we can follow these steps:

### Step 1: Determine the prime factorization of the denominators.
- For \( \frac{3}{250} \):
- The prime factorization of \( 250 \) is \( 2 \times 5^3 \) (since \( 250 = 2 \times 125 = 2 \times 5^3 \)).

- For \( \frac{11}{50} \):
- The prime factorization of \( 50 \) is \( 2 \times 5^2 \) (since \( 50 = 2 \times 25 = 2 \times 5^2 \)).
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