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Current time:0:00Total duration:4:35

Video transcript

we are told fill in the table with whole numbers to make ten point seven four in two different ways so pause this video and see if you can figure that out so we really need to fill out what would be what would you put in here for this to be a representation of ten point seven four all right now let's do it together and I'm going to rewrite the number a little bit larger so that we can really inspect the place values so one way to think about it is we have zero ones and then we have one ten but they don't express it that way they don't say one ten and zero ones up here they just say ten ones but that's reasonable so when they're saying ten ones here they are referring to those ten ones or you could view that as one ten and zero ones either way you have ten ones and then if you move one decimal place over this seven tenths well that makes sense you have a seven in the tenths place and then this four hundredths makes sense you have four in the hundredths place but now let's see what they're doing over here so once again they're saying no tens but ten ones so that is actually the same we could say one ten and zero ones or we could say ten once and now over here they've reduced the number of tenths and you're like hey what's going on I have there's looks like there's seven tenths here but one way to think about it is they're regrouping from one place to another and so what they've done is they've taken that extra tenth and they've put it someplace and the only other place they could put it is in the hundreds place so if I were to take a tenth from the tenths place a tenth is worth ten hundredths so one way to think about it is they're taking a tenth from there so now this is going to be this is going to be six tenths and if you where you're going to put that tenth well you could put it in the hundredths place but a tenth is going to be ten hundredths so if you had ten hundredths to the four hundredths that are already there well that is going to give you 14 hundredths so we would put a 14 right over let's do another example just to really make sure we're understanding what's going on so once again they say fill in the table with whole numbers to make five point four in three different ways so pause this video and see if you can have a go at it alright so I'm gonna rewrite the number so we have five point four and in this first row this is maybe the most standard way or traditional way of interpreting five point four in our ones place you have a five and you see that five ones and in our tenths place we have a four and that's what they have right over here for tens what are they doing in this second row well they're saying 24 tenths 24 tenths so somehow in one way to think about it in the tenths place they were they were able to add 20 tenths so they went from four tenths to 24 tenths so if you're adding 20 tenths here they must have taken it away from some other place 20 tenths is the same thing as two ones so they must have taken two ones away from here so they took two ones away from here so this would be three ones and now 24 tenths so we could put a three right over there and you can verify that 24 tenths is the same thing as two holes and or two ones and four tenths or two point four two point four plus three is going to be equal to five point four all right so here we only have one one and so what happened to the other four ones well they must have been transferred to the tenths place so let me rewrite the number so if we were to take four ones away from the ones place so we're taking four away from this you only have one left and what would happen if I transfer those four ones to the tenths place well then they would be 40 tenths four ones are forty tenths so we would add 40 to 40 tenths over here so we already have 4/10 so this would become 44 tents 44 tents and we're done