Multiplying a 4-Digit Number by a 2-Digit Number | Math with Mr. J

[Music] Welcome to Math with Mr. J. In this video, I'm going to cover how to multiply a four-digit number by a two-digit number. We'll go through an example together and then I'll give you a practice problem that you can try on your own. Let's jump into our example where we have 5,892* 63. Now, the first thing that we're going to do here is set this up. So, we're going to line up the places. So, 5,982 [Music] times 63. So, you can see that we have the ones place lined up, the two and the three, then the 10's place lined up, the eight and the six, and then the four-digit number on top has a nine in the hundreds and a five in the thousands. Now that we're lined up, we're ready to multiply. And really what we're going to be doing here is 5,982 * 3 and then 5,982 * 60. And I'm saying 60 because that 6 is in the 10's place. It has a value of 60. Then we add those results for our final answer. Now we'll start with the three in the ones place and do 3 * 2. That gives us 6. Then we do 3 * 8 which is 24. So we write our four and carry the two. Now we do 3 * 9 which is 27 plus that 2 is 29. So write the nine and carry the two. And next we do 3 * 5 which is 15. plus that two is 17. So we write our seven. And then there aren't any more places to the left. So we bring that one straight down. So 5,982 * 3 gives us 17,946. And now we are done with this three, this two, and this two. And I'm crossing those numbers off since we are done with them. That way we don't confuse these numbers with any other numbers as we continue working through this problem. It helps us stay organized. Now we move over to the six in the 10's place which has a value of 60. So we need a zero right here before we start multiplying. Now that we have that zero, we can multiply and we'll start with 6 * 2. That gives us 12. So we write our two carry the 1. Now we have 6 * 8 which is 48 + 1 is 49. Write the 9, carry the four. Now we have 6 * 9 which is 54 + 4 is 58. Write the 8, carry the five. And now we have 6 * 5 which is 30 plus that five is 35. So we write our five there. And then there aren't any more places to the left. So we bring that three straight down. So 5,982 * 60 gives us 358,920. And now we add these for our final answer. We'll start with the ones place. 6 + 0 is 6. 4 + 2 is 6. 9 + 9 is 18. Carry the 1. 1 + 7 is 8 + 8 is 16. Carry the 1. And then we have 1 + 1 is 2 + 5 is 7. And then we end with a three in the 100,000's place. We can put our comma in. And this is our final answer. 376,866. So there's our example problem. Now it's time for you to try a practice problem on your own. So have paper and a pencil ready. So here is your practice problem. I'll give you 3 minutes and then we will go over the answer. Feel free to pause if you need more time or jump ahead to the answer whenever you are ready. Go ahead and start. [Music] [Music] [Music] [Music] [Music] Heat. Heat. [Music] [Music] [Music] [Music] Okay, so that was 3 minutes. Let's go over the answer. So, here is our answer. 8,527 * 49 equals 417,823. So, there you have it. There's how to multiply a four-digit number by a two-digit number. I hope that helped. Thanks so much for watching. Until next time, peace.