 Hello friends, welcome to the session on Malkavi. I am going to discuss real numbers. Our game question is without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion. Our given question is 77 upon 210. So let's start with the solution. X pure rational number which is 77 upon 210. Here we see that q is equal to 210. Now we find the factors of q which is 2 into 5 into 7 into 3. We see that q is not of the form 2 to the power n and 5 to the power m. This implies that the given rational number X has a non-terminating repeating decimal expansion. Hope you understood the solution and enjoyed the session. Goodbye and take care.