Regrouping whole number place values

five thousands equals how many hundreds there's probably a few ways we could take this on but maybe let's start by thinking about these five thousands five thousands is one thousand five times so let's think about each of those thousands each of those five thousands in 1900 1000 1000 equals how many hundreds well let's see let's count by hundreds until we get to a thousand and I'll keep a little tally mark so we can keep count of how many hundreds it takes us to get to a thousand 100 200 300 400 500 600 700 800 900 1000 so it took 10 hundreds to get to a thousand so one thousand is 10 hundreds so what would five thousand be well five thousand five thousand is five times as many thousands so we're also going to have five times as many hundreds so five thousands will equal five times ten hundreds because we have five thousand this time so we have five times ten hundreds or five times ten five times ten is fifty so five thousand equals 50 hundreds another way we could think about this is place value so let's do that let's look at a place value chart here we have a place value chart and if we fill in five under thousands we can see that we have three empty spaces we have no hundreds no tens and no ones so we need to fill those in with zeros or five thousand again it's five thousand writing the word thousands we replaced those three zeros five thousands is the same as five with three zeros behind it and now we want to change these five thousands to be hundreds well when we read this place value chart when we read five when we stopped here five is the last number we read and then we read the place value above it thousands so four hundreds will do the same thing up until the hundreds will read the place value chart until the place value we want and then the place value so five thousands is the same as fifty hundreds five thousand is equal to fifty hundreds and we don't have to include these last zeros on the end because just like thousands implied three zeros hundreds by saying hundreds we've essentially implied that these two zeros are there so five thousands is equal to fifty hundreds we weren't asked about tens but we could look here and figure it out I bet tens we would say is five hundred tens we'd read up through the tens and then the tens place because tens have one zero after them that zero is implied when you say ten and then finally if we went all the way to the end we could also say that this number is equal to five thousand ones so any of those five thousands 50 hundreds 500 tens or five thousand ones are equivalent they're all equal to each other but the one we were asked about was hundreds so five thousands equals 50 hundreds here's another one thirty tens equals how many hundreds so this time we're looking at tens and hundreds so let's think about how tens and hundreds relate how many tens are in 100 how many tens are in 100 and we could write 100 the word or the number in one hundred well to figure that out if we don't know already we can count tens we can count by tens and see how many tens it takes us to get to 100 110 is 10 20 30 40 50 60 70 80 90 100 so we got to 100 and it took us 10 tens there are 10 tens in 100 so if there's 10 tens in 100 how many hundreds are in 30 tens well to get from 10 tens to 30 tens that's three times as many tens so we'll also have three times as many hundreds or three hundreds 30 tens is three sets of 10 tens 10 tens are 100 so another way to think of that is third 30 tens is three sets of hundreds or three hundreds we could also think about this in terms of place value here we have this tens and we know that tens can be represented by a zero so instead of 30 tens we could simply write a 30 with a zero on the end that's zero for tens and then over here equal to we have hundreds and hundreds can be represented by two zeros so to make these equivalent what number we'll need to fill in this spot and the answer again is a three like we already saw up top so 30 tens is equal to three hundreds