Converting units: metric distance

whereas to arrange the following measurements in order from smallest to largest and we have the measurements and there are different units this is in decameters then we have meters and we have millimeters then we have centimeters so the way I would tackle this is I would try to convert them all to the same units maybe meters and then compare them all in terms of meters so let's do that so this is just a screenshot of that exact same screen we just saw there and so let's just convert each of these into meters so the first one we have right over here is one one decameter so we have to remind ourselves what deca even means well deca deca is equal to 10 meters and actually let me add more of these just so that we know all of the different prefixes we could have so you have deca you have hecto which would be 100 you have kilo which would be 1000 and then of course you just have meters and you would have no prefix there that would just be equal 1 if you have no prefix in front of the meters and then if you have a tenth of a meter that is decimeter so this is 1/10 then you have sin T which is one hundredth and then you have milli and then you have milli which is equal to one thousandth so let's use this information right over here to figure out how many meters each of these are so one decameter one decameter decameter we just saw deca means ten that's one one times ten meters so this is going to be equal to ten ten meters so this right over here is 10 meters this is already written in meters this is 13 meters then we have 15,000 millimeters so it's 15 15 thousand millimeters and but milli means one thousandth so it's fifteen thousand times one thousandth of a meter so milimeters one thousandth of a meter this is you could view this instead of writing Amelie here I wrote one thousandth so fifteen thousand times one thousand that's just going to give me fifteen so this is going to be fifteen meters so this is 15 meters another way of realized of thinking about it is look a thousand millimeters is equal to a meter so let's divide this into groups of a thousand well this is literally fifteen groups of a thousand this is 15 groups of a thousand millimeters so that's going to be 15 meters and then finally we have 1900 centimeters so 1900 1900 instead of writing senti I'm going to write one hundredth one hundredth of a meter well 1900 times one over 100 is 19 so this is equal to 19 19 meters another way of thinking about it is this is 19 groups of a hundred centimeters and 100 centimeters is equal to a meter this is 19 this is 19 meters right over here so let's go back to our to the actual problem so let's remind ourselves this right over here this is 10 meters this is 10 meters this is 13 meters so 10 13 this right over here was 15 meters and this right over here was 19 meters so actually the order that they already gave it to us in we could obviously swap things around if we wanted to but the order that they already gave it to it was the was the order from smallest to largest this is 10 meters 13 meters 15 meters and 19 meters