{"id":3463,"date":"2023-02-16T21:48:23","date_gmt":"2023-02-16T21:48:23","guid":{"rendered":"https:\/\/blog.georgiaemsacademy.com\/?p=3463"},"modified":"2023-05-04T04:33:39","modified_gmt":"2023-05-04T04:33:39","slug":"more-drug-dose-calculations","status":"publish","type":"post","link":"https:\/\/blog.georgiaemsacademy.com\/?p=3463","title":{"rendered":"More Drug Dose Calculations"},"content":{"rendered":"<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img src=\"https:\/\/www.georgiaemsacademy.com\/Private\/Static\/Drugcalc1\/images\/dext50-289x284.jpg\" alt=\"\"\/><\/figure><\/div>\n\n\n<p>Let&#8217;s look at a medication we give every day, D50. D50 is Dextrose 50% in water (sterile for injection, of course). To make D50, you take 25 grams of dextrose and add it to 50cc&#8217;s of water.<\/p>\n\n\n\n<h2>Experiment: Make D25 out of D50<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Equipment Needed<\/strong><\/td><\/tr><tr><td><strong>1- 50-60 cc syringe<\/strong><\/td><\/tr><tr><td><strong>1- pre-filled syringe of D50<\/strong><\/td><\/tr><tr><td><strong>1- 19 g hypodermic needle<\/strong><\/td><\/tr><tr><td><strong>1 &#8211; 250 or 1000 cc bag of NS<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3>Directions<\/h3>\n\n\n\n<p>Be sure to wear rubber gloves while you do this experiment. D50 is highly viscous and very sticky. It would also be a good idea to do this somewhere in the engine room or outside as this experiment tends to get very messy.<\/p>\n\n\n\n<ol type=\"1\"><li>Connect the hypodermic needle to the 50-60 cc syringe<\/li><li>With the plunger removed from the D50 administration set, remove the plunger and insert the 50 cc syringe\/hypodermic needle into the back of the administration set (be sure to decontaminate the back of the syringe).<\/li><li>Aspirate 25 cc&#8217;s of the D50 solution into the 50-60 cc syringe<\/li><li>Now aspirate 25 cc of NS from the IV bag (be sure to decontaminate the injection port)..<\/li><li>Now do the math (you can use the calculator if you wish).<\/li><\/ol>\n\n\n\n<h3>Decimals<\/h3>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;A decimal point separates the whole number from the decimal fraction. Everything to the right of the whole number is a fraction (and a percent for that matter). Decimals can be rounded to the nearest tenth, hundredth, or even the nearest whole number.$0.25 is a fraction of a whole number. What you are saying is that you have 100 whole units and 0.25 of another whole unit. You could also say that you have 1\/4 of a dollar or 25% of a dollar<\/p>\n\n\n\n<h3>&nbsp;<\/h3>\n\n\n\n<h3>Decimals are Really Just Fractions<\/h3>\n\n\n\n<p>Decimal notation is just a shorthand way of expressing certain fractions, namely those fractions with denominators that are powers of 10. For example, consider the number 2.345 Because of the place-values of the decimal digits, this really means<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/www.georgiaemsacademy.com\/Private\/Static\/Drugcalc1\/images\/drugcalc11_clip_image001.gif\" alt=\"4\"\/><\/figure>\n\n\n\n<h3>Converting Decimals to Fractions<\/h3>\n\n\n\n<p>Because all the denominators are powers of 10, it is very easy to add these fractions by finding a common denominator. In this example, the common denominator is 1000, and we get<br><img loading=\"lazy\" src=\"https:\/\/www.georgiaemsacademy.com\/Private\/Static\/Drugcalc1\/images\/drugcalc11_clip_image002.gif\" alt=\"4\" width=\"237\" height=\"128\"><br>This suggests a general rule for converting a decimal number to its fraction form:<\/p>\n\n\n\n<ul><li>Put all the digits over the denominator that corresponds to the last decimal place value.<\/li><\/ul>\n\n\n\n<p>In the number 2.345, the last decimal place value is the thousandths place, so we put the digits 2345 over the denominator 1000.<br>Of course we would usually want to reduce the resulting fraction to its simplest form. In this case<br><img loading=\"lazy\" width=\"83\" height=\"41\" src=\"https:\/\/www.georgiaemsacademy.com\/Private\/Static\/Drugcalc1\/images\/drugcalc11_clip_image003.gif\" alt=\"4\"><\/p>\n\n\n\n<h3>Repeating Fractions<\/h3>\n\n\n\n<p>The only time this method does not work is for repeating fractions. We know that 1\/3&nbsp;=&nbsp;0.3333333&#8230; but how could we go from 0.3333333&#8230; back to 1\/3? There is no \u2018last decimal place\u2019 because the decimals repeat forever. Fortunately, there is a simple trick for this:<\/p>\n\n\n\n<ol><li>Put the repeating digit over a denominator of 9. So we see that in the case of 0.3333333&#8230;., the repeating digit is 3, and we make the fraction 3\/9, which reduces to 1\/3. If there is a group of more than one digit that repeats<\/li><li>Put the repeating group of digits over as many 9\u2019s as there are digits.<\/li><li>For example, in the fraction<br><img loading=\"lazy\" width=\"79\" height=\"23\" src=\"https:\/\/www.georgiaemsacademy.com\/Private\/Static\/Drugcalc1\/images\/drugcalc12_clip_image001.gif\" alt=\"8\"><br>we see that the group of digits \u201815\u2019 repeats, so we put \u201815\u2019 over a denominator of \u201899\u2019 to get<br><img loading=\"lazy\" width=\"148\" height=\"41\" src=\"https:\/\/www.georgiaemsacademy.com\/Private\/Static\/Drugcalc1\/images\/drugcalc12_clip_image002.gif\" alt=\"8\"><\/li><li>One warning: This only works for the repeating fraction part of a number. If you have a number like 2.33333&#8230;, you should just work with the decimal part and rejoin it with the whole part after you have converted it to a fraction.<\/li><li>Irrational numbers like p or&nbsp;<img loading=\"lazy\" width=\"25\" height=\"23\" src=\"https:\/\/www.georgiaemsacademy.com\/Private\/Static\/Drugcalc1\/images\/drugcalc12_clip_image003.gif\" alt=\"8\">&nbsp;have non-repeating decimals, and so they cannot be written as fractions. You can, however, round them off at some point and produce an approximate fraction for them.<\/li><\/ol>\n\n\n\n<h3>Converting Fractions to Decimals<\/h3>\n\n\n\n<p>We know the decimal equivalents for some common fractions without having to think about it: 1\/2&nbsp;=&nbsp;0.5, 3\/4&nbsp;=&nbsp;0.75, etc. But how do we arrive at these numbers? Remember that the fraction bar means the same thing as division.<\/p>\n\n\n\n<ul><li>To convert a fraction to a decimal, do the division<strong>.<\/strong><\/li><\/ul>\n\n\n\n<p>For example,<br><img loading=\"lazy\" src=\"https:\/\/www.georgiaemsacademy.com\/Private\/Static\/Drugcalc1\/images\/drugcalc13_clip_image001.gif\" alt=\"4\" width=\"163\" height=\"41\"><br>You can do the division with a calculator or by hand with long division.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Let&#8217;s look at a medication we give every day, D50. D50 is Dextrose 50% in water (sterile for injection, of course). To make D50, you take 25 grams of dextrose and add it to 50cc&#8217;s of water. Experiment: Make D25 out of D50 Equipment Needed 1- 50-60 cc syringe 1- pre-filled syringe of D50 1- [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[27],"tags":[109],"_links":{"self":[{"href":"https:\/\/blog.georgiaemsacademy.com\/index.php?rest_route=\/wp\/v2\/posts\/3463"}],"collection":[{"href":"https:\/\/blog.georgiaemsacademy.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.georgiaemsacademy.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.georgiaemsacademy.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.georgiaemsacademy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3463"}],"version-history":[{"count":3,"href":"https:\/\/blog.georgiaemsacademy.com\/index.php?rest_route=\/wp\/v2\/posts\/3463\/revisions"}],"predecessor-version":[{"id":4131,"href":"https:\/\/blog.georgiaemsacademy.com\/index.php?rest_route=\/wp\/v2\/posts\/3463\/revisions\/4131"}],"wp:attachment":[{"href":"https:\/\/blog.georgiaemsacademy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3463"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.georgiaemsacademy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3463"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.georgiaemsacademy.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3463"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}