 Hi, and how are you all today? I'm Priyanka and let us do the following question. It says, write the following in decimal form and say what kind of decimal expansion each has. Now, first of all, we need to convert it into decimal form and then we need to tell them what kind of decimal expansion it is. These are the fixed parts of the question which are given to us. And we'll be proceeding it one by one. But before that, you should be well versed with the kind of decimal expansion. They are terminating decimal expansion and non-terminating repeating decimal expansion. Terminating decimal expansion is the kind of where the remainder does not repeat itself, or remainder is equal to 0 in this case. Whereas in this case, the remainder repeat itself after a certain stage. So the knowledge of the kind of decimals is the key idea we are going to use in order to proceed on with our solution. So let us proceed on with the first part. The expression given to us is 36 by 100. So this can be easily converted into decimal without actually doing so, because the denominator is having two zeros. So we can put a decimal sign after before two numbers in the numerator, like this. Since this is, in this case, the remainder will be equal to 0. So this will be a case of terminating decimal expansion. So this ends the first part. Proceed on with the next part. Now the expression is 1 divided by 11. So let us find out or see what the remainder is by actually doing it. So we can have a decimal sign to make it 10, but since 10 is less than 11, so we need to have one more zero in the question column. And then we can make it as 100. Now 11 multiplied by 9 gives us 99. We're left with remainder 1. Again, since the remainder is repeating itself, we'll be having this procedure long and long and long. So the answer to this part will be 0.09 bar. And since it is the remainder repeats itself after a certain stage, it is non-terminating, repeating decimal expansion. So this completes the second part. Proceeding on to the next part, the expression given to us is 4, 1 by 8. Since this is a mixed fraction, we'll first convert it into improper fraction. That will be 33 by 8. Now let us divide 8. 8 multiplied by 4 will give us 32. So we are left with remainder 1. We have a decimal, and we'll drop down 0 from above. 8 multiplied by 2. 8 multiplied by 1 will give us 8. So we are left with remainder 2. Again, we'll drop down 0 from above to make it 20. Now 8 multiplied by 2 gives us 16. We are left with 4. Dropping down 0 from above makes it 40. And 8 multiplied by 5 will give us 40. So the remainder is equal to 0. And hence, it's not repeating itself. So the answer will be 4.125. And we can write that this is a terminating type of decimal expansion. The fourth expression given to us is 3 by 13. Let us divide it. Again, we need to have a decimal. 13 multiplied by 2 will give us 26. We are left with remainder 4. 0 will be dropped down from above. 13 multiplied by 3 gives us 39. We're left with remainder 1. Again, dropping down 0 from above makes it 10. Now we need to have, since 10 is less than 13, we need to have one more 0 dropping down simultaneously. So we'll be having a 0 sign above. Now 13 multiplied by 7 will give us 91. So we're left with remainder 9. Again, dropping down 0 from above, 13 multiplied by 6 will give us 78. We're left with remainder 12. And this procedure will carry on 117. We're left with remainder 3. Now this remainder is repeating itself from the place we started. So that means this whole procedure will go on similarly. And we can have the answer as 0.230769 bar. Because from this point, again, the whole procedure will repeat itself. And hence, it is a non-terminating, repeating decimal expansion. So this completes the part. Proceeding on further, we have 12 divided by 11. Now let us divide it, dropping down it from above. Now 11 eighths are, we'll have 88. We're left with remainder 2, which is repeating itself. Since it is repeating, so we can have the answer as 0.18. And this procedure will repeat on, so we can have a bar. And it will be a non-terminating, repeating decimal. Proceeding on with the last and final part, we have the expression as 329 divided by 400. Again, we need to have a decimal. Then 400 multiplied by 8 will give us 3,200. On subtraction, we get the remainder as 90. Dropping down 0 from above, multiplying 400 by 2, we have 800. So we are left with remainder as 100. Again, dropping down 0 from above, getting the remainder as 200. And now, 400 multiplied by 5 will give us 2,000. And we can have a remainder that is 0. Since the remainder is 0, that means it is what? Yes, it is a terminating decimal expansion. So this completes the entire question which was given to us. I hope you enjoyed the session. And remember, what are terminating and non-terminating repeating decimal types? All right, bye for now.