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hey everyone is Sara thread sterner sorry and calm and in this video I'm going to be going over safe dosage calculation problems for the pediatric patient and as always after this lecture you can go to my website register nurse orange comb and take the free quiz I will test you on this material and also check out the other videos that are part of this series I will teach you dosage and calculations so let's get started let's see what this problem says doctor orders benadryl for a child that weighs 98 pounds the safe dose for benadryl is 5 milligrams per kilogram per day what is the safe dose per day for this child anytime you're solving these safe dosage calculations so there are some things you need to know first you need to know the child's weight child weighs 98 pounds then you want to know what is the safe dose range of this particular problem has given us they have told us that for benadryl a child can have depending on how many kilograms they weigh five milligrams for every kilogram per day so we're going to have to convert our 98 pounds to kilograms and see based on five milligrams how much this child can have and you have to see what exactly your question is asking because this is where it really trips people up some problems want to know how much can they have per dose but this particular problem wants to know how many how much they can have per day so let's solve so what we're trying to solve for is milligrams per day for this child so I'd like to write this out and to remind myself where I'm going with dimensional analysis because I use dimensional analysis to solve these problems so first let's convert our 98 pounds to kilograms so 98 pounds and we know that there's 2.2 pounds in one kilogram and pounds cancels out and we're in kilograms so we're ready to plug what our safe dose range is and one kilogram equals five milligrams of benadryl per day kilograms cancels out so we're exactly where we need to go milligrams per day that's what this problem wants to know so we're going to multiply everything in the top multiply everything in bottom and then divide we have our answer so 98 times 1 times 5 is 490 and of course one times two point two times one is two point two and 490 divided by two point two is two hundred and twenty two point seven two seven two repeating and we'll round up to twenty two point what we'll just round regular twenty to two hundred twenty two point seven milligrams per day and that is our answer this problem says a child weighs 52 pounds the child has a fever and the doctor has ordered Tollan all the safe dose range is 10 to 15 milligrams per kilogram every six hours what is the maximum safe dose for this child per day so let's look at our most important information child's weight 52 pounds the safe dose of tunnel is 10 to 15 milligrams per kilogram every six hours and our problem wants to know the maximum dose per day so we've got some extra steps we've gotta take because our safe dose range is just giving us an individual dose and we've got to figure out how much this child can have throughout a whole day so let's set up a problem using dimensional analysis so we want to get two milligrams per day so I like to write where I'm going that's my goal and just going to underline 15 because it once in our maximum dose 10 we really don't care about for this problem just the max that they can have so that's what we're going to be working with this fit team and then every six hours is very important because we want to figure out how much they can have per day so first let's convert their weight okay they weigh 52 pounds we know that there's 2.2 pounds in one kilogram pounds cancels out so we're in kilograms now let's plug in our safe dose range see how much for every kilogram this child weighs how much maximum dose of tunnel can they have so one kilogram equals 15 milligrams every six hours so per dose so we're done with this part because we got to get 2 milligrams per day so let's go ahead and solve and then we'll convert whatever we get for individual dose and figure out how much we get per day so we're going to multiply everything at the top so 52 times 1 times 15 is 720 and 1 times 2 point 2 times 1 is 2 point 2 and 720 divided by 2 point 2 is three hundred and fifty four point five four point five four repeating and we'll round to three three hundred fifty four point five milligrams every six hours for every step per dose now let's figure out how much they can have per day again I like to use dimensional analysis to figure this out so what I like to do is I like to say okay there's 24 hours in one day and for this particular dose every six hours they can have 350 four point five milligrams so every six hours they can have 354 million point five milligrams and we're where we need to be we're left with milligrams per day hours cancels out so we're going to multiply 24 times 350 4.5 and that equals 8500 8 + 1 times 6 equals 6 and 808 8500 8 divided by 6 equals 1418 milligrams per day so that is our answer this problem says doctor orders 200 milligrams of ibuprofen every 8 hours the child weighs 49 pounds the safe dosage range for this medication is 5 to 10 milligrams per kilogram per dose what is the safe dose range for this particular child and is this a safe dose ordered by the doctor so right off the bat looking at this question we know we got a lot of problem-solving to do we've got to first of all see what the minimum and maximum dose is that this patient can have based on their weight of 49 pounds and we have to see if based on that what we get if 200 milligrams falls in between that so let's get started solving this first let's solve the minimum dose that they need so we're going to convert weight so 49 pounds we know that there's 2.2 pounds in one kilogram and first we're going to solve for a minimum dose and we're going to lick with smallest number and it's 5 milligrams per kilogram per dose so 1 kilogram is going to equal 5 milligrams per dose okay we're where we need to do be milligrams per dose so we're going to multiply everything of the top and everything involved and by so 49 times 1 times 5 is 245 and then of course 1 times two point two times one is two point two and 245 divided by two point two is a hundred and eleven point three six repeating and that room's to one hundred and eleven point four milligrams per dose so we got our minimum so right now the patient what the doctor ordered they're falling into it but let's see what our maximum is so again we're going to work a problem doing the maximum so we're going to convert our pounds and 2.2 pounds equals one kilogram pounds cancels out and one kilogram equals ten milligrams per dose and hands can pound kilograms cancels out so we're going to multiply everything on the top and divide so 49 times 1 times 10 equals 490 and one times two point two times one equals two point two and 490 divided by two point two equals 220 20.7 two repeating and we'll round and we'll get two hundred twenty two point seven milligrams per dose so our range is a hundred and eleven point four milligrams per dose to two hundred and twenty-seven I mean two hundred twenty two point seven milligrams per dose and the doctor ordered two hundred milligrams so yes this is a safe dose for this child problem says doctor orders digoxin 0.92 milligrams daily for a child that weighs 16 pounds the safe dosage for this medication is 8 to 12 micrograms per kilogram per day is this a safe dose order okay this is like the previous problem we worked but a little bit differently first of all it's not asking us to solve the dosage range but we have to in order to see if what the doctor ordered is safe based on what the safe dosage range is also if you look at this problem what the doctor ordered is in milligrams the safe dosage range is in micrograms so I wanted to include this problem because we're going to have to take some extra steps want you to see how to work it so what we're going to do is we're going to find our minimum dose first which we're going to be looking at the eight and then we're going to find our maximum dose we're going to be looking to the 12 and then see what that falls in between and if it falls in between what the doctor ordered and if it does it's a safe dose if it doesn't it did not it's not a safe dose so let's convert and find our minimum dose first so we look at our weight so the patient weighs 16 pounds and we know that there's 2.2 pounds and 1 kilogram pounds cancels out and we're looking at our dosage ordered and there's 1 kilogram and 8 micrograms per day now we got to get 2 milligrams per day so we're going to convert because that's what the doctor ordered so we're going to say a thousand because there's a thousand micrograms in 1 milligram and that cancel cancels our micrograms out and we're left with milligrams per day which is where we're supposed to get because that's what the doctors ordered 0.92 milligrams per day so let's see we're going to multiply everything at the top and everything at the bottom 2 by 16 times 1 times 8 times 1 is 128 and 1 times 2 point 2 times 1 times a thousand equals 2,200 in 128 divided by 2,200 equals 0.05 a 1 8 1 8 repeating and we're going to round up we're going to round to our hundredths place so it'll be 0.06 milligrams per day so we know our minimum dose okay now let's find our maximum dose which we're gonna be using the 12 for this one so again we're just going to follow the same steps up there so 16 pounds I know that there's 2.2 pounds in one kilogram palmas cancels out maximum dose 1 kilogram equals 12 micrograms per day kilograms that cancels out we've got to convert to milligrams we know that there are a thousand micrograms in one milligram so we're exactly where we needed to be we're in milligrams per day multiply everything at the top and at the bottom and divide so 16 times 1 times 12 times 1 equals 192 and 1 times 2 point 2 times 1 times a thousand equals 2,200 and 192 divided by 2,200 equals zero point zero eight seven two seven two repeating and we're going to realtor one hundredths and it's zero point zero nine milligrams per day now does that fall in between the range of what the doctor ordered cuz the doctor ordered zero point nine two milligrams and are drained for this child is zero point zero six two zero point zero nine so no this is not a safe dose for this patient okay so that is how you work safe dosage calculation problems now go to my website register nurse or in home and take that free quiz and thank you so much for watching and please consider subscribing to this YouTube channel