Question

what can you say for the repeating block of 1/13 without actual division

Answer 1

Step-by-step explanation:

16=24

167=247=24×507. So, 167 has a terminating decimal expansion.

(ii) 150=2×3×52

15013=2×3×5213

Since it is not in the form 2m×5np,15013 has a non-terminating and recurring decimal expansion.

(iii) 75−11=3×52−11

Since it is not in the form 2m×5np.75−11 has a non-terminating and recurring decimal expansion.

(iv) 20017=8×2517=23×5