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Current time:0:00Total duration:6:02

Adding whole numbers by their place values


Video transcript

what is nineteen thousands plus seven tens first let's think about what are 19 thousands and what are seven tens and then from there we can add them so nineteen thousands would quite literally be if we had a thousand nineteen times so there's a thousand one time if we had a thousand two times we would have two thousand if we had a thousand three times we would have 1,000 2,000 3,000 and the pattern here should be pretty clear if we have nineteen thousands or a thousand nineteen times we would have nineteen thousand so nineteen thousand is literally nineteen thousands and then seven tens same thing we could have seven tens we could have ten seven times so ten plus another ten plus another ten and this one's a little simpler to do than the nineteen will have to last seven tens this time that's six tens and there are seven tens so seven tens would be literally seven tens or ten twenty thirty forty fifty sixty seventy so seven tens is seventy and then if we wanted to combine these or add these we would have nineteen thousands zero hundreds the seven tens and zero ones or nineteen thousand seventy we could have also thought about that question in terms of place value instead of listing out all the thousands and listing out all the tens we could have thought of the place values we had nineteen thousands which means we want our last digit than nine to be in the thousands place value and then the other digit we had one would go in front of it so this is red nineteen thousands and by writing that thousands there we covered all these empty place values or the three zeros we ended up adding the thousands can be represented by these three zeros at the end whereas 7/10 we put a seven in the tens place and again we have an empty place value behind it we had no ones with it the tens by saying tens we implied this zero after it so the thousands added these three zeros to the end and seven tens added one zero to the end and again if we combined them like we saw in the previous one we'd have nineteen thousand zero hundreds and seven tens so either way whether we list out what nineteen thousands is literally with nineteen thousands or seven tens literally ten seven times or we look at in terms of place value and add the zeros on the end either way our solution will be nineteen thousand seventy here's one more we have five ten thousands plus twenty two thousands so two ways again we could try to try to solve this one we could think about what are five ten thousands if we had ten thousand five times another ten thousand another that's three four ten thousands and five ten thousands that would be a total of 50 thousand ten thousand twenty thirty forty fifty thousand so five ten thousands is 50 thousand let's write that up here fifty thousand plus 22 thousands 20 mm remember when we did the nineteen thousands if we wrote one 1000 it would be a thousand if we wrote a thousand two times it would be mm if we wrote it 20 two times then it would be twenty-two thousands there will be 20 mm and we could combine these numbers 50 thousand Plus 22,000 will be a total of 72,000 so one way there that first way we talked about is to think about what does five ten thousands look like and what do twenty two thousand look like to get our numbers and then add them or the other way we could solve this is with a place where you chart is thinking about place value so let's put a place value chart in here and then put our first number which was five ten thousand so we have five in the ten thousandths place five ten thousands and we can fill in the zeros behind it in these empty place values there were no thousands hundreds tens or ones so for ten thousands we added four zeros behind it and the other number was twenty two thousand so twenty two we read this as twenty two thousand always saying the place value of the last non-zero digit we see so 22 and then thousand and then with thousands like before we'll add three zeros to the end and finally when we combine these numbers when we look at the place values we now have seven ten thousands we have two thousands still no hundreds no tens and no ones so our solution for five ten thousands plus twenty mm is seventy-two thousand