 Hello and welcome to the session. In this session, we will discuss how to round off decimals. First of all, let us discuss what is rounding up decimals. Now the process obtaining the value of decimal to the required number of decimal places is called rounding up. First of all, the value obtained rounded off value of the decimal. Then with the help of retaining the digits, one more than the required number decimal places. In the second step, if the extra digit retained is 5 or more than 5, put 1 to the digit just before it. Then in the next step, the digit retained is less than than just before it. Then in the next step, the digit is then omitted. Now let us see an example for this. That is, round off 34.7262 collected to decimal places. Now for the solution, the number is given as 34.7262. We have to round off this number. In the third step, we will retain. Therefore, we will add 1 after the decimal point. That is, the digit therefore is equal to 34.73. Now let us direct the total number of digits, the zeros, between the first numerals to decide the number of significant digits. The position is not of any importance. That is, all round zero numerals in the number are significant. Now let us see an example for this. The number of significant digits in decimal is not of any importance. That means, then this number are significant. So here, as 1, 2, 3, so it has significant digits. The zeros between numbers. Now let us see one example for this. In this, we have to find out the number of significant digits in 5.409. Now here, zero is lying between 4 and 9. That means, this zero will be counted. So the number of significant digits in this number is 1, 2, 3 and 4. So it has, now the next three must numeral. Now let us see one example for this. Here we have to find out the number of significant digits in 2.576 number. Zero is coming after the last numeral which is 7. That means, this zero will be counted. So the number of significant digits in this number is 2 significant digits. Now the next first numeral of significant digits in 0.0034. These are the zeroes which are before. The first numeral, that means these zeroes will not be counted. Then digits is 1, the zeroes of the number are ambiguous. So let us look up an example. Now in these type of numbers, let us, in 7000, the zeroes are coming at the end of the number. It is not clear if the zeroes significant. Now here, the number of significant digits in this number is at least, but could be 3, 4 also. Could be written as scientific notation to place the significant zeroes behind the decimal point. Now this number here, we will write this number in scientific notation. So this number will be 7.2 into 10 raised to power. This number is having 2 significant to 0 into 1, 2 and 3 significant digits. 7.200 into 10 raised to power 3 which has 1, 2, 3 and 4. 4 is significant. Now the next point which we should remember is, is done in the same way for the decimal place. An example for this, 0.04732 on significant digits. So it will be quoted 0.05 significant digits. Fiction using significant digits. Now the number of significant digits of significant digits in the numbers 0.1276 plus 0.0974. This will be equal to one point in the question. This number is having the smallest number of significant digits. That is, it is having 3 significant digits. 10 digits in the result will also be 3. So rounding off this number to 3 significant digits, it will be one point learnt about rounding off decimals and significant digits. So this completed, have enjoyed the session.