Without actual division, show that each of the following rational numbers is a termination decimal. Express each in decimal form.
(i) ` 31/ ((2^(2)xx 5^(3))` ( ii) `33/50` (iii) ` 41/1000` (iv) `17/625`

Explanation

To determine whether each of the given rational numbers is a terminating decimal and to express them in decimal form without actual division, we can follow these steps:

### (i) \( \frac{31}{2^2 \times 5^3} \)

1. **Identify the denominator**: The denominator is \( 2^2 \times 5^3 \).
2. **Convert to a power of 10**: We can express \( 2^2 \times 5^3 \) as \( 10^2 \times 5 \) because \( 2^2 \times 5^2 = 10^2 \).
3. **Rewrite the fraction**:
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