Question

In terminal decimal expansion the reminder becomes

Answer 1

Answer:

Solution:

(i) 36/100

= 0.36 (Terminating)

On dividing 36 by 100 we get the exact value 0.36 and set a reminder become zero so 36/100 has a terminating decimal expansion.

(ii) 1/11

0.09090909… = 0.9 (Non terminating repeating)

On dividing 1/11 we get 09 again and again i.e. remainder never becomes zero and set a digits repeats periodically.

So 1/11 has a non terminating repeating decimal expansion.

(iii) 4⅛

= 33/8 = 4.125 (Terminating)

On dividing 33 by 8 we get the exact value 4.125 and remainder becomes zero. So 4 ⅛ is a terminating decimal..

(iv) 3/13

= 0.230769230769… = 0.230769 (Non terminating repeating)

On dividing 3 by 13 we get to 230769 again and again and remainder never become zero so 3/13 is a non terminating repeating decimal.

(v) 2/11

= 0.181818181818… = 0.18 (Non terminating repeating)

On dividing 2 by 11 we get 18 again and again and remainder never become zero. so 2 /11 is a non terminating repeating decimal