{"id":30,"date":"2020-11-02T17:16:31","date_gmt":"2020-11-02T17:16:31","guid":{"rendered":"https:\/\/pressbooks.ccconline.org\/accnur\/chapter\/5-2-math-basic-concepts\/"},"modified":"2024-01-17T19:31:02","modified_gmt":"2024-01-17T19:31:02","slug":"5-2-math-basic-concepts","status":"publish","type":"chapter","link":"https:\/\/pressbooks.ccconline.org\/accnur\/chapter\/5-2-math-basic-concepts\/","title":{"raw":"Math Basic Concepts","rendered":"Math Basic Concepts"},"content":{"raw":"<h2>Measuring Devices<\/h2>\r\nDepending on the type and amount of medication that is being administered, there are several devices used for measuring and administering medications.\r\n\r\nA <strong>[pb_glossary id=\"2810\"]medication cup [\/pb_glossary] <\/strong>that is composed of plastic or paper is used to hold and dispense oral medications to a patient. A paper cup is used to administer nonliquid medications, such as tablets or capsules. A plastic medication cup is used to dispense both liquid and nonliquid medications, and calibrated cups are also used to measure liquid medications prior to administration. Calibrated medication cups have labelled measurements such as ounces (oz), cubic centimeters (cc), milliliters (mL), teaspoons (tsp), and tablespoons (Tbs). See Figure 5.1<sup>[footnote]\u201c<a href=\"https:\/\/drive.google.com\/file\/d\/1eRvEXjJlEurr_Hwpri47HI27fAV8SBTh\/view?usp=sharing\" target=\"_blank\" rel=\"noopener\">Medication Cups<\/a>\u201d by Deanna Hoyord, <a href=\"https:\/\/www.cvtc.edu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chippewa Valley Technical College<\/a> is licensed under <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\" target=\"_blank\" rel=\"noopener noreferrer\">CC BY 4.0<\/a><\/sup><span style=\"text-align: initial; font-size: 1em;\"><sup>[\/footnote]<\/sup> for an image of a calibrated medication cup.<\/span>\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_26\" align=\"aligncenter\" width=\"851\"]<img class=\"wp-image-26 \" title=\"\u201cMedication Cups&quot;\u00a0 by Deanna Hoyord, Chippewa Valley Technical College is licensed under CC BY 4.0\" src=\"https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2020\/11\/medication-cups-1024x425.png\" alt=\"Photo showing three medication \" width=\"851\" height=\"353\" \/> Figure 5.1 Calibrated Medication Cups[\/caption]\r\n\r\n<strong>[pb_glossary id=\"2812\"]Oral syringes [\/pb_glossary] <\/strong>are used to administer liquid medications via the oral route, especially to children, because they allow for precise measurement of small doses. See Figure 5.2<sup>[footnote]\u201c<a href=\"https:\/\/drive.google.com\/file\/d\/1mSPygd---4Do690n5tLEQfwbAUmYonfU\/view?usp=sharing\" target=\"_blank\" rel=\"noopener\">Oral Syringes 3I3A0820.jpg<\/a>\u201d by Deanna Hoyord, <a href=\"https:\/\/www.cvtc.edu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chippewa Valley Technical College<\/a> is licensed under <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\" target=\"_blank\" rel=\"noopener noreferrer\">CC BY 4.0<\/a>[\/footnote]<\/sup> for an image of an oral syringe. Oral syringes have different tips than syringes used for injections.\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_26\" align=\"aligncenter\" width=\"850\"]<img class=\"wp-image-6396 \" title=\"\u201cOral Syringes 3I3A0820.jpg&quot; by Deanna Hoyord, Chippewa Valley Technical College is licensed under CC BY 4.0\" src=\"https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2024\/01\/Oral-Syringes-3I3A0820-scaled-1.jpg\" alt=\"Photo showing closeup of three different sizes of oral syringes\" width=\"850\" height=\"567\" \/> Figure 5.2 Oral Syringes[\/caption]\r\n\r\n<strong>[pb_glossary id=\"2809\"]Syringes[\/pb_glossary]<\/strong> are used when administering medications through the parenteral route (i.e., intradermally, subcutaneously, intramuscularly, or intravenously). There are also syringes specifically developed for oral medication administration. Oral medication syringes are commonly orange in color and have a tip that will not allow the oral syringe to be connected to an intravenous injection port. Syringes used for injections are available in many sizes and are selected by the nurse based on the type of injection and the type of medication administered. Both Luer lock and slip tip syringes are commonly available for parenteral use. Luer lock syringes have a threaded syringe tip that allow the syringes to be screwed into an injection port. Slip tip syringes do not have a locking mechanism or screw-on connection. Slip tip syringes can be easily attached and removed from different injection devices. Many slip tip syringes are found in Foley catheter insertion kits. Common syringe sizes range from 1 mL to 60 mL. See Figure 5.3<sup>[footnote]\u201c<a href=\"https:\/\/drive.google.com\/file\/d\/1zuWMuY1s41uADPIksge49qZFrCoKr6Ww\/view?usp=sharing\" target=\"_blank\" rel=\"noopener\">Syringes 3I3A0446.jpg<\/a>\u201d by Deanna Hoyord, <a href=\"https:\/\/www.cvtc.edu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chippewa Valley Technical College<\/a> is licensed under <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\" target=\"_blank\" rel=\"noopener noreferrer\">CC BY 4.0<\/a>[\/footnote]<\/sup> for an image comparing various sizes of syringes. Syringes are calibrated based on the volume they hold. For example, a 1-mL syringe is calibrated in hundredths, and a 3-mL syringe is calibrated in tenths. Syringes that hold larger volumes, such as 5-, 10-, and 12-mL syringes, are usually calibrated in fifths (two tenths). Large syringes, such as 60-mL syringes, are calibrated in whole numbers.\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_26\" align=\"aligncenter\" width=\"850\"]<img class=\"wp-image-3221 \" title=\"\u201cSyringes 3I3A0446.jpg&quot;\u00a0 by Deanna Hoyord,\u00a0Chippewa Valley Technical College is licensed under CC BY 4.0\" src=\"https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2024\/01\/Syringes-3I3A0446-scaled-1.jpg\" alt=\"Photo showing six syringes, of various sizes\" width=\"850\" height=\"664\" \/> Figure 5.3 Various Sizes of Syringes[\/caption]\r\n\r\n&nbsp;\r\n\r\nSpecial syringes are used to administer insulin and are calibrated in units. See Figure 5.4<sup>[footnote]\u201c<a href=\"https:\/\/drive.google.com\/file\/d\/1aL5h5h4J1E7BKP5gJz_103536Jtxest_\/view?usp=sharing\" target=\"_blank\" rel=\"noopener\">Insulin Syringe 3I3A0783.jpg<\/a>\u201d by Deanna Hoyord, <a href=\"https:\/\/www.cvtc.edu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chippewa Valley Technical College<\/a> is licensed under <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\" target=\"_blank\" rel=\"noopener noreferrer\">CC BY 4.0<\/a>[\/footnote] <\/sup>for an image of an insulin syringe. Insulin syringes are easily identified by a standard orange cap.\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_26\" align=\"aligncenter\" width=\"850\"]<img class=\"wp-image-3984 \" title=\"\u201cInsulin Syringe 3I3A0783.jpg&quot;\u00a0 by Deanna Hoyord, Chippewa Valley Technical College is licensed under CC BY 4.0\" src=\"https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2024\/01\/Insulin-Syringe-3I3A0783-scaled-1.jpg\" alt=\"Photo showing closeup of an insulin syringe\" width=\"850\" height=\"567\" \/> Figure 5.4 Insulin Syringe[\/caption]","rendered":"<h2>Measuring Devices<\/h2>\n<p>Depending on the type and amount of medication that is being administered, there are several devices used for measuring and administering medications.<\/p>\n<p>A <strong>medication cup  <\/strong>that is composed of plastic or paper is used to hold and dispense oral medications to a patient. A paper cup is used to administer nonliquid medications, such as tablets or capsules. A plastic medication cup is used to dispense both liquid and nonliquid medications, and calibrated cups are also used to measure liquid medications prior to administration. Calibrated medication cups have labelled measurements such as ounces (oz), cubic centimeters (cc), milliliters (mL), teaspoons (tsp), and tablespoons (Tbs). See Figure 5.1<sup><a class=\"footnote\" title=\"\u201cMedication Cups\u201d by Deanna Hoyord, Chippewa Valley Technical College is licensed under CC BY 4.0\" id=\"return-footnote-30-1\" href=\"#footnote-30-1\" aria-label=\"Footnote 1\"><sup class=\"footnote\">[1]<\/sup><\/a><\/sup> for an image of a calibrated medication cup.<\/span><\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_26\" aria-describedby=\"caption-attachment-26\" style=\"width: 851px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-26\" title=\"\u201cMedication Cups&quot;\u00a0 by Deanna Hoyord, Chippewa Valley Technical College is licensed under CC BY 4.0\" src=\"https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2020\/11\/medication-cups-1024x425.png\" alt=\"Photo showing three medication\" width=\"851\" height=\"353\" srcset=\"https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2020\/11\/medication-cups-1024x425.png 1024w, https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2020\/11\/medication-cups-300x125.png 300w, https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2020\/11\/medication-cups-768x319.png 768w, https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2020\/11\/medication-cups-1536x637.png 1536w, https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2020\/11\/medication-cups-65x27.png 65w, https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2020\/11\/medication-cups-225x93.png 225w, https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2020\/11\/medication-cups-350x145.png 350w, https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2020\/11\/medication-cups.png 1600w\" sizes=\"auto, (max-width: 851px) 100vw, 851px\" \/><figcaption id=\"caption-attachment-26\" class=\"wp-caption-text\">Figure 5.1 Calibrated Medication Cups<\/figcaption><\/figure>\n<p><strong>Oral syringes  <\/strong>are used to administer liquid medications via the oral route, especially to children, because they allow for precise measurement of small doses. See Figure 5.2<sup><a class=\"footnote\" title=\"\u201cOral Syringes 3I3A0820.jpg\u201d by Deanna Hoyord, Chippewa Valley Technical College is licensed under CC BY 4.0\" id=\"return-footnote-30-2\" href=\"#footnote-30-2\" aria-label=\"Footnote 2\"><sup class=\"footnote\">[2]<\/sup><\/a><\/sup> for an image of an oral syringe. Oral syringes have different tips than syringes used for injections.<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_26\" aria-describedby=\"caption-attachment-26\" style=\"width: 850px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6396\" title=\"\u201cOral Syringes 3I3A0820.jpg&quot; by Deanna Hoyord, Chippewa Valley Technical College is licensed under CC BY 4.0\" src=\"https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2024\/01\/Oral-Syringes-3I3A0820-scaled-1.jpg\" alt=\"Photo showing closeup of three different sizes of oral syringes\" width=\"850\" height=\"567\" \/><figcaption id=\"caption-attachment-26\" class=\"wp-caption-text\">Figure 5.2 Oral Syringes<\/figcaption><\/figure>\n<p><strong>Syringes<\/strong> are used when administering medications through the parenteral route (i.e., intradermally, subcutaneously, intramuscularly, or intravenously). There are also syringes specifically developed for oral medication administration. Oral medication syringes are commonly orange in color and have a tip that will not allow the oral syringe to be connected to an intravenous injection port. Syringes used for injections are available in many sizes and are selected by the nurse based on the type of injection and the type of medication administered. Both Luer lock and slip tip syringes are commonly available for parenteral use. Luer lock syringes have a threaded syringe tip that allow the syringes to be screwed into an injection port. Slip tip syringes do not have a locking mechanism or screw-on connection. Slip tip syringes can be easily attached and removed from different injection devices. Many slip tip syringes are found in Foley catheter insertion kits. Common syringe sizes range from 1 mL to 60 mL. See Figure 5.3<sup><a class=\"footnote\" title=\"\u201cSyringes 3I3A0446.jpg\u201d by Deanna Hoyord, Chippewa Valley Technical College is licensed under CC BY 4.0\" id=\"return-footnote-30-3\" href=\"#footnote-30-3\" aria-label=\"Footnote 3\"><sup class=\"footnote\">[3]<\/sup><\/a><\/sup> for an image comparing various sizes of syringes. Syringes are calibrated based on the volume they hold. For example, a 1-mL syringe is calibrated in hundredths, and a 3-mL syringe is calibrated in tenths. Syringes that hold larger volumes, such as 5-, 10-, and 12-mL syringes, are usually calibrated in fifths (two tenths). Large syringes, such as 60-mL syringes, are calibrated in whole numbers.<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_26\" aria-describedby=\"caption-attachment-26\" style=\"width: 850px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-3221\" title=\"\u201cSyringes 3I3A0446.jpg&quot;\u00a0 by Deanna Hoyord,\u00a0Chippewa Valley Technical College is licensed under CC BY 4.0\" src=\"https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2024\/01\/Syringes-3I3A0446-scaled-1.jpg\" alt=\"Photo showing six syringes, of various sizes\" width=\"850\" height=\"664\" \/><figcaption id=\"caption-attachment-26\" class=\"wp-caption-text\">Figure 5.3 Various Sizes of Syringes<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<p>Special syringes are used to administer insulin and are calibrated in units. See Figure 5.4<sup><a class=\"footnote\" title=\"\u201cInsulin Syringe 3I3A0783.jpg\u201d by Deanna Hoyord, Chippewa Valley Technical College is licensed under CC BY 4.0\" id=\"return-footnote-30-4\" href=\"#footnote-30-4\" aria-label=\"Footnote 4\"><sup class=\"footnote\">[4]<\/sup><\/a> <\/sup>for an image of an insulin syringe. Insulin syringes are easily identified by a standard orange cap.<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_26\" aria-describedby=\"caption-attachment-26\" style=\"width: 850px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-3984\" title=\"\u201cInsulin Syringe 3I3A0783.jpg&quot;\u00a0 by Deanna Hoyord, Chippewa Valley Technical College is licensed under CC BY 4.0\" src=\"https:\/\/pressbooks.ccconline.org\/accnur\/wp-content\/uploads\/sites\/178\/2024\/01\/Insulin-Syringe-3I3A0783-scaled-1.jpg\" alt=\"Photo showing closeup of an insulin syringe\" width=\"850\" height=\"567\" \/><figcaption id=\"caption-attachment-26\" class=\"wp-caption-text\">Figure 5.4 Insulin Syringe<\/figcaption><\/figure>\n<hr class=\"before-footnotes clear\" \/><div class=\"footnotes\"><ol><li id=\"footnote-30-1\">\u201c<a href=\"https:\/\/drive.google.com\/file\/d\/1eRvEXjJlEurr_Hwpri47HI27fAV8SBTh\/view?usp=sharing\" target=\"_blank\" rel=\"noopener\">Medication Cups<\/a>\u201d by Deanna Hoyord, <a href=\"https:\/\/www.cvtc.edu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chippewa Valley Technical College<\/a> is licensed under <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\" target=\"_blank\" rel=\"noopener noreferrer\">CC BY 4.0<\/a><\/sup><span style=\"text-align: initial; font-size: 1em;\"><sup> <a href=\"#return-footnote-30-1\" class=\"return-footnote\" aria-label=\"Return to footnote 1\">&crarr;<\/a><\/li><li id=\"footnote-30-2\">\u201c<a href=\"https:\/\/drive.google.com\/file\/d\/1mSPygd---4Do690n5tLEQfwbAUmYonfU\/view?usp=sharing\" target=\"_blank\" rel=\"noopener\">Oral Syringes 3I3A0820.jpg<\/a>\u201d by Deanna Hoyord, <a href=\"https:\/\/www.cvtc.edu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chippewa Valley Technical College<\/a> is licensed under <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\" target=\"_blank\" rel=\"noopener noreferrer\">CC BY 4.0<\/a> <a href=\"#return-footnote-30-2\" class=\"return-footnote\" aria-label=\"Return to footnote 2\">&crarr;<\/a><\/li><li id=\"footnote-30-3\">\u201c<a href=\"https:\/\/drive.google.com\/file\/d\/1zuWMuY1s41uADPIksge49qZFrCoKr6Ww\/view?usp=sharing\" target=\"_blank\" rel=\"noopener\">Syringes 3I3A0446.jpg<\/a>\u201d by Deanna Hoyord, <a href=\"https:\/\/www.cvtc.edu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chippewa Valley Technical College<\/a> is licensed under <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\" target=\"_blank\" rel=\"noopener noreferrer\">CC BY 4.0<\/a> <a href=\"#return-footnote-30-3\" class=\"return-footnote\" aria-label=\"Return to footnote 3\">&crarr;<\/a><\/li><li id=\"footnote-30-4\">\u201c<a href=\"https:\/\/drive.google.com\/file\/d\/1aL5h5h4J1E7BKP5gJz_103536Jtxest_\/view?usp=sharing\" target=\"_blank\" rel=\"noopener\">Insulin Syringe 3I3A0783.jpg<\/a>\u201d by Deanna Hoyord, <a href=\"https:\/\/www.cvtc.edu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chippewa Valley Technical College<\/a> is licensed under <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\" target=\"_blank\" rel=\"noopener noreferrer\">CC BY 4.0<\/a> <a href=\"#return-footnote-30-4\" class=\"return-footnote\" aria-label=\"Return to footnote 4\">&crarr;<\/a><\/li><\/ol><\/div><div class=\"glossary\"><span class=\"screen-reader-text\" id=\"definition\">definition<\/span><template id=\"term_30_2810\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_30_2810\"><div tabindex=\"-1\"><\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_30_2812\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_30_2812\"><div tabindex=\"-1\"><\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_30_2809\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_30_2809\"><div tabindex=\"-1\"><\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><\/div>","protected":false},"author":83,"menu_order":2,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["open-resources-for-nursing-open-rn"],"pb_section_license":"cc-by"},"chapter-type":[48],"contributor":[60],"license":[52],"class_list":["post-30","chapter","type-chapter","status-publish","hentry","chapter-type-numberless","contributor-open-resources-for-nursing-open-rn","license-cc-by"],"part":22,"_links":{"self":[{"href":"https:\/\/pressbooks.ccconline.org\/accnur\/wp-json\/pressbooks\/v2\/chapters\/30","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.ccconline.org\/accnur\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.ccconline.org\/accnur\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accnur\/wp-json\/wp\/v2\/users\/83"}],"version-history":[{"count":2,"href":"https:\/\/pressbooks.ccconline.org\/accnur\/wp-json\/pressbooks\/v2\/chapters\/30\/revisions"}],"predecessor-version":[{"id":96,"href":"https:\/\/pressbooks.ccconline.org\/accnur\/wp-json\/pressbooks\/v2\/chapters\/30\/revisions\/96"}],"part":[{"href":"https:\/\/pressbooks.ccconline.org\/accnur\/wp-json\/pressbooks\/v2\/parts\/22"}],"metadata":[{"href":"https:\/\/pressbooks.ccconline.org\/accnur\/wp-json\/pressbooks\/v2\/chapters\/30\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.ccconline.org\/accnur\/wp-json\/wp\/v2\/media?parent=30"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accnur\/wp-json\/pressbooks\/v2\/chapter-type?post=30"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accnur\/wp-json\/wp\/v2\/contributor?post=30"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accnur\/wp-json\/wp\/v2\/license?post=30"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}