Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating

(i) (ii)

(iii) (iv)

(v)

(i) 8 = 2³ since the denominator is of the form 2^m therefore the expression is terminating.

(ii) 441 = 3² × 7² since the denominator is not in the form of 2^m and 5ⁿ Therefore the given expression is Non-terminating repeating

(iii) =

10 = 2×5 therefore the denominator is of the form 2^m × 5ⁿ

Hence, the given expression is Terminating

(iv) = =

30 = 2×3×5

Since the denominator is not of the form 2^m × 5ⁿ

Hence, the given expression is Non-terminating repeating Terminating

(v)

Since the denominator is not in the form 2^m × 5ⁿ

Hence, the given expression is Non-terminating repeating Terminating