Nursing maths - medication math made easy! - By tecmath
Transcript
00:0-1 | Good and welcome to the Tech Math channel . What | |
00:01 | I'm gonna be having a look at this video is | |
00:03 | going to be looking at nursing calculations are basically this | |
00:07 | video is in response to teaching a bunch of nurses | |
00:10 | . So I'm putting a bunch of videos up in | |
00:13 | order to help them with their drug calculations , but | |
00:15 | also to help anyone who's doing a drug calculation sort | |
00:18 | of things . Uh , so this particular video we're | |
00:20 | going to be having a look at is we're going | |
00:22 | to be having a look at say working at the | |
00:24 | amounts of a drug that should be given based upon | |
00:27 | , say volume or a tablet sort of form . | |
00:30 | Um , and this is based upon how much is | |
00:34 | required and how much is actually on hand as well | |
00:37 | as a particular strength of a drug . We're also | |
00:39 | gonna be looking at some weight based sort of medications | |
00:41 | in this just as well as some of the unit | |
00:43 | conversions are grams , two mg , micrograms , sort | |
00:47 | of things that you may be expected to rus . | |
00:50 | So uh there will be a few things covered in | |
00:53 | this particular video . In later videos , we're gonna | |
00:55 | be looking at say intravenous medications are things like pediatric | |
00:59 | calculations , things like this for drugs like that . | |
01:02 | Okay , so let's get on with this particular one | |
01:05 | . Now , this is the first video in this | |
01:07 | series and this is probably the most important uh formula | |
01:11 | that you'll get as far as drug calculations going . | |
01:14 | It's this one here where the amount of a drug | |
01:17 | , okay . Which I'm just gonna put down as | |
01:19 | amount and it's based upon a few things to start | |
01:24 | off with . Um It's most simplest form . Its | |
01:27 | first off . It's based upon the stock required . | |
01:30 | Now the stock , what's called the stock required is | |
01:32 | the amount of the drug which has actually been ordered | |
01:35 | for the patient . Okay . Ah We also base | |
01:40 | it upon another thing , nice messy line there which | |
01:45 | is called the stock supply . This is the actual | |
01:49 | strength or their of the actual drug that you have | |
01:53 | on hand . Okay , so this is what the | |
01:55 | patient actually requires . This is the actual what you | |
01:57 | actually have and will reconcile these two . We also | |
02:02 | They're going to be using this thing called volume . | |
02:04 | Some drugs are based upon our you know , maybe | |
02:08 | they're said to be five mg in two mil sort | |
02:12 | of thing . Okay , so it's a strength that's | |
02:15 | based upon a volume . So we're gonna deal with | |
02:17 | that occasionally to this particular parts not always used and | |
02:21 | you'll see where this is used and where this isn't | |
02:23 | used in this particular video . The other thing we | |
02:26 | are going to be dealing with is occasionally will have | |
02:28 | to work out the stock required based upon a patient's | |
02:31 | weight . We'll deal with that is we come along | |
02:33 | . Uh but we're also going to be dealing with | |
02:34 | metric conversions and these conversions , the major ones uh | |
02:39 | and substitute leaders for the actual measurement I'm about to | |
02:43 | use like but I'm going to use saying where one | |
02:47 | g equals 1000 milligrams . Similarly one leader equals 1000 | |
02:53 | mL and we're one uh milligram is equal to 1000 | |
03:03 | micrograms . Okay . And these are the units with | |
03:07 | these sort of prefixes , which he used a whole | |
03:09 | lot . Okay , This micrograms by the way , | |
03:11 | can also be written like this . Ok , It's | |
03:14 | this little u torrent symbol . Um but yeah , | |
03:18 | this also means micro . Uh Now , just a | |
03:21 | couple of things with this the way I remember when | |
03:23 | I do these is this idea of this thing called | |
03:25 | mr B s I think of that being whatever you | |
03:29 | might actually remember that . Okay , Mr Bs . | |
03:32 | And what it means is this if you're going from | |
03:35 | a bigger say grams here to a smaller unit . | |
03:38 | Okay . What you do is you are multiplying this | |
03:42 | number by 1000 . for example , if we're going | |
03:46 | from say .6 g , we want to change that | |
03:50 | to milligrams . Okay , Which is a small thing | |
03:54 | . We can either multiply by 1000 so 10000.6 times | |
03:57 | 1000 which is 600 . Alternatively , we can move | |
04:00 | this decimal place here . Right ? And you move | |
04:03 | it right three times because it's 123 zeros and 1000 | |
04:07 | whichever way you prefer to do that , this would | |
04:09 | go 123 and become 600 . Okay ? Alternatively if | |
04:16 | we're going from a smaller to a bigger number we | |
04:20 | divide or we go left . Okay . But I | |
04:23 | remember this using mr B s . So let's um | |
04:26 | let's get into some of these calculations that we're gonna | |
04:28 | be doing . So first off we have a patient | |
04:30 | which has ordered 500 are this one here ? Which | |
04:34 | ones this one this one's milligrams of metaphor man hydrochloride | |
04:38 | . The ward stock is 1000 mg per tablet . | |
04:41 | So how much should be given the first off ? | |
04:43 | What I recommend is you try to give these ago | |
04:46 | okay You might not for this first one but try | |
04:48 | to give them a go make the mistakes get them | |
04:51 | right get them right or wrong here that we can | |
04:53 | then you can go through your answer . Okay so | |
04:55 | first off the way I do this is his first | |
04:58 | off get this formula the amount and that equals . | |
05:03 | I'm not going to write the whole lot . I'm | |
05:04 | just gonna write down stuck required in an abbreviated form | |
05:08 | over the stock supplied times the volume . Okay so | |
05:15 | What do we get for this ? Well we get | |
05:16 | the following , the stock required , the amount the | |
05:18 | patient actually needs is this thing here uh this is | |
05:22 | 500 mg of the patient's been ordered to have , | |
05:25 | so we have 500 milligrams . Okay , And we're | |
05:31 | gonna put that over the stock supplied , the stock | |
05:35 | supplied , That's 1000 mg . That's the stock awards | |
05:38 | stock here , which is 1000 mg per tablet . | |
05:43 | Okay , the volume that we're not going to worry | |
05:45 | about the volume and the reason we're not going to | |
05:47 | do this is because this is not a volume particular | |
05:49 | equation , this is just a tablet equation . And | |
05:52 | where it's a tablet equation , you can either assume | |
05:54 | this just to be one or not worry about it | |
05:56 | . So this is a rather simple particular equation here | |
06:00 | , we're just going to end up with equals 500 | |
06:02 | over 1000 . So the amount of tablets required equals | |
06:06 | half a tablet . Hopefully that's the answer you got | |
06:11 | . Okay , let's go into the next one . | |
06:13 | Mhm . A patient is ordered to have 600 . | |
06:17 | What's this particular 1 ? Micrograms of medication stock on | |
06:22 | hand is 100 and 50 micrograms into mill . So | |
06:26 | let's calculate the volume to be given the same formula | |
06:28 | . Give it a go . Okay , so the | |
06:32 | amount is equal to the stock required over the stock | |
06:42 | supplied times the volume . Okay , and you see | |
06:45 | there is a volume here . This is this particular | |
06:47 | part here . Okay , so let's work this out | |
06:54 | . So we have the stock required . A patient | |
06:56 | is ordered to have this much the stock requires the | |
06:59 | patient's meant to have . So it's 600 micrograms and | |
07:06 | this is going to be divided by The stock supply | |
07:09 | . This amount here , 100 stock on hand is | |
07:12 | 100 and 50 Mark . Programs CGs and the volume | |
07:20 | . Okay , this is how much the stock on | |
07:22 | hand is this amount in this amount ? This is | |
07:25 | the volume . Okay , so the volume here is | |
07:28 | to bill . So what do we get ? We | |
07:32 | get 600 divided by 150 . We get the answer | |
07:36 | of four And four times 2 mil . four times | |
07:42 | to mill . We have our answer how much volume | |
07:45 | we get a middle of medication to be given . | |
07:49 | Hopefully you went pretty good with that . Okay , | |
07:52 | let's have a ah look at another question , an | |
07:55 | injection of a drug ? one mg is ordered . | |
07:58 | Okay , Stock on hand is 500 micrograms in two | |
08:02 | mil . Okay , so we've got milligrams and micrograms | |
08:06 | , we are going to have to deal with those | |
08:07 | to make these the same types of units , what | |
08:10 | volume should be drawn up . So first off I'm | |
08:13 | going to deal with this fact that we have here | |
08:15 | , we have milligrams , one mg which is ordered | |
08:18 | and we have 500 micrograms supplied . So first off | |
08:23 | we have to get these the same . So I'm | |
08:25 | going to change milligrams here . two micrograms . Okay | |
08:29 | , so one milligram , ecowas Harmony micrograms . Okay | |
08:38 | , M C G s . Now this is using | |
08:42 | Mr B s . This is a bigger thing here | |
08:46 | . This is a smaller . So we're going to | |
08:49 | multiply mr we're going to either multiply or move the | |
08:53 | decimal place . Right , I'm going to multiply by | |
08:55 | 1000 . So we have 1000 micrograms . Okay , | |
09:01 | so let's get our formula where it is the amount | |
09:08 | and at the course stock required over the the stock | |
09:14 | supplied times the volume . Okay , what does this | |
09:20 | Eagle ? Okay , the stock required . So this | |
09:24 | is that the injection of one mg , which we | |
09:28 | worked out to be 1000 micrograms . So 1000 M | |
09:33 | . C . G . S . And This stock | |
09:40 | supplied is 500 micrograms in two mills . So 500 | |
09:46 | micrograms M . C . G . S . And | |
09:49 | the two millions of volumes at times to mill . | |
09:53 | Okay so what do we get ? We get the | |
09:55 | answer of A 1000 divided by 500 . It's two | |
10:01 | so two times two mil answer . Hopefully this is | |
10:06 | the answer you got . It's four bill . How | |
10:09 | did you go there ? Let's have a look at | |
10:12 | the ah another question . Okay A patient with acute | |
10:17 | alcohol withdrawal is to be given diazePAM five mg and | |
10:22 | polls . I'm gonna probably say that wrong containing five | |
10:25 | containing 10 mg but 2,000,002 mL . What volumes of | |
10:30 | the patient receive ? Okay I'll read that again , | |
10:33 | a patient with acute alcohol withdrawals is to be given | |
10:35 | days of pam five mg and polls contained 10 mg | |
10:40 | for every two mills , what volume should the patient | |
10:44 | receives ? So this year um again we these milligrams | |
10:49 | are in the same units . We don't have to | |
10:50 | stuff around with those . So let's just straight into | |
10:53 | our formula are amount equals the stock required over the | |
11:03 | stock supplied times the volume . This equals stock required | |
11:11 | is to be given five mg . So that's five | |
11:15 | milligrams Over the stock supply which is 10 mg and | |
11:24 | this is times are volume which is to to milk | |
11:29 | . So what do we have ? 5/10 ? This | |
11:31 | is the same as a half and a half times | |
11:34 | two mil answer is going to be what bill ? | |
11:42 | Okay , hey going with these . Good . Okay | |
11:46 | ah We got this particular one here ordered as 1000 | |
11:50 | mg in stock . We have one g in three | |
11:53 | milk . What volume should be injected . Now , | |
11:56 | first off , what you may notice is this we | |
11:58 | have different units here , we have milligrams here and | |
12:02 | grams here . So we're going to have to reconcile | |
12:04 | this . Uh The way I'm going to do this | |
12:06 | is I'm going to change our grams particular unit here | |
12:10 | . Often find it's easier to go from the bigger | |
12:12 | medication and change it into a bigger unit and change | |
12:15 | into the smaller unit . Okay , so let's do | |
12:19 | this . one g is equal to how many milligrams | |
12:24 | ? Ah well use mr Bs mr B.S . We're | |
12:31 | going from bigger to smaller . So I'm gonna multiply | |
12:34 | by 1000 . We're going to end up with 1000 | |
12:38 | mg . So let's slot this into the equation which | |
12:42 | is the amount equals the stock required over the stock | |
12:49 | supplied times the volume this equals the stock required equals | |
12:57 | 1000 . Actually audit is 100 mg . So 100 | |
13:03 | billy graham's . The stock on hand is one g | |
13:08 | in three mills , is that 1000 ? So 1000 | |
13:12 | milligrams times the volume , which is three . Okay | |
13:18 | , so what did you get for this ? Ah | |
13:20 | 100 over 1000 equals 0.1 times three . Bill We | |
13:30 | get the answer . The way in which we need | |
13:32 | is 0.3 mil . Okay , but that's our answer | |
13:38 | . Okay , you know this one we're going to | |
13:43 | be dealing with a weight based medication here . So | |
13:47 | let's have a look at this . A client who | |
13:49 | weighs 60 kg is to be given a drug , | |
13:52 | two mg per kilogram stock strength is 40 mg for | |
13:57 | every two mil . What volume where the drug should | |
13:59 | they be given ? Well , has a lot of | |
14:00 | numbers . There isn't , there don't get too thrown | |
14:03 | by them . Now , the biggest difference , but | |
14:05 | this one , this is a weight based medication . | |
14:07 | We stock strengthen that . That's all pretty standard . | |
14:10 | We know how we're going to deal with that . | |
14:11 | We're going to deal with that a bit later on | |
14:12 | . But first , what we have to do is | |
14:14 | we have to work out the stock required and to | |
14:18 | do this . What you will see that first sentence | |
14:22 | , a client weighs 60 kg , is to be | |
14:25 | given a drug at two mg per kilogram . So | |
14:30 | every kilo , they're given two mg . So why | |
14:34 | are we going to work this out as we're gonna | |
14:36 | get the 60 and we're gonna times by two because | |
14:41 | for every every kilogram they're getting two mg of 60 | |
14:45 | kg . So we're times these together , we get | |
14:48 | 120 mg of the drug being required . So let's | |
14:55 | put this into our formula where the amount once again | |
14:59 | , standard formula vehicles , the stock required over the | |
15:05 | stock supplied times the volume . What do we get | |
15:11 | ? We get stock required , which is 120 milligrams | |
15:19 | . We're gonna put that over the stock supply , | |
15:21 | the stock supplied . Does this one here ? There's | |
15:24 | 40 mg ? Yeah , uh the volume , This | |
15:32 | is two milks at times too . What do we | |
15:34 | get better ? Put the bill there , ah We | |
15:39 | have 120 divided by 40 , which is three , | |
15:43 | three times 2 mil and it equals six mil . | |
15:49 | This is our answer . Okay , All right , | |
15:55 | now there is one last question here . Another weight | |
15:58 | based question . Now , let's have a look at | |
16:02 | this one . The stock of a drug is stock | |
16:04 | strength of a drug is 80 mg for two mil | |
16:07 | . Okay , that's the stock strength . Usually , | |
16:09 | I've been putting them a bit after a client who | |
16:11 | weighs 40 kg , is to be given a drug | |
16:13 | at two mg per kilogram , what volume of the | |
16:15 | drug should they were given ? So first off , | |
16:17 | let's work out how much drugs , how much what | |
16:21 | their stock required is , because we have our stock | |
16:23 | supplied , we have our volume , we need to | |
16:26 | use these to work out our stock required . Our | |
16:29 | stock required equals The client weighs 40 kg , and | |
16:36 | has given two mg per kilogram . So we're gonna | |
16:38 | get 40 and we're gonna times it by two . | |
16:41 | Okay , because for every kilo they get two mg | |
16:44 | . So they're going to get 80 mg . Now | |
16:48 | let's put this into our equation where the amount equals | |
16:54 | the stock required over the stock supplied times the volume | |
17:01 | . Okay , let's put these in . So the | |
17:02 | stock required is 80 . We just worked that out | |
17:06 | 80 mg . We put this over the stock supplied | |
17:12 | stock , stock strength . So we have ah 80 | |
17:16 | mg In a volume of two . Real . What | |
17:25 | we get 80/80 is one times two . So we | |
17:29 | get an answer with two bill . Okay , because | |
17:33 | this over this is one , so one times two | |
17:36 | equals two mil . So hopefully you're good on that | |
17:39 | . There is a bunch of these men . Are | |
17:41 | these medication calculations on the internet ? Uh Just type | |
17:44 | of medication calculations . You'll find lots and lots of | |
17:47 | worksheets with these um for my guys , I do | |
17:51 | have lots and lots of these I can supply for | |
17:53 | you as well . Okay . Uh in future videos | |
17:56 | , what we're going to start having a look at | |
17:57 | is we're gonna start having a look at things like | |
18:00 | rates , injectables and things like this . And then | |
18:02 | we're gonna have a look at pediatric calculations . I | |
18:04 | put a few links for those up right now . | |
18:07 | Anyway , hope you found that helpful , let's say | |
18:10 | next time . |
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