 Hi and welcome to the session. Today we will learn about multiplication of decimal numbers. Suppose we want to multiply 2 decimal numbers 6.3 and 2.52. So for this we will follow certain steps. First of all multiply 2 given decimal numbers as whole numbers. So here to multiply 6.3 and 2.52 first of all we will multiply them as whole numbers that is 63 into 252 will be equal to 15876. Now count the number of digits to the right of the decimal point both the decimal numbers. So here in the first decimal number there is one digit on the right of decimal point and in the second decimal number there are 2 digits on the right of decimal point. Now as the third step the number of digits counted in both the decimal numbers. So over here 1 plus 2 will be equal to 3. Now finally as the fourth step is the decimal point in the product I counting the digits from its rightmost place. So here the product obtained is 15876. Now we will count 3 digits from its rightmost place. So here we have 3 digits and thus we will place a decimal point over here. So 6.3 into 2.52 is equal to 15.876. So this is how we can multiply 2 decimal numbers. I hope this must be clear to you. Now let's move on to our next topic. Multiplication of decimal numbers by 100 or 1000 to multiply a decimal number by 100 or 1000 we move the decimal point in the number to the right by as many places there are 0's over 1. For example let's take the number 12.763. Now if you want to multiply it by 10 then we will move the decimal point in the number to the right by 1 place because in 10 there is 10 over 1. So this will be equal to 127.63. Here we have moved the decimal point from here to here that is 1 place to the right. Now to multiply the number 2.05 by 100 we will move the decimal point from here to the right by 2 places as there are 2 0's over 1 in 100. So this will be equal to 205. Next let us take a number 31.52 and let us multiply it by 1000. So here we will move the decimal point to the right of the number by 3 places because in 1000 there are 3 0's over 1. So this will give us 31.520. Thus in this session we have learnt the multiplication of decimal numbers and multiplication of decimal numbers by 100 or 1000. With this we finish this session hope you must have understood all the concepts. Goodbye take care and have a nice day.