It looks like you're using Internet Explorer 11 or older. This website works best with modern browsers such as the latest versions of Chrome, Firefox, Safari, and Edge. If you continue with this browser, you may see unexpected results.

This guide provides useful resources for a wide variety of math topics. It is targeted at students enrolled in a math course or any other Centennial course that requires math knowledge and skills.

- Welcome
- Learning Math Strategies (Online)Toggle Dropdown
- Study Skills for MathToggle Dropdown
- Business MathToggle Dropdown
- Place Value in Decimal Number Systems
- Arithmetic Operations
- Basic Laws
- Operations on Signed numbers
- Order of Operations
- Some Useful Basic Numeracy
- Decimals
- Fractions
- Percents
- Ratios and Proportions
- Exponents
- Statistics
- Trade and Cash Discounts
- Multiple Rates of Discount
- Payment Terms and Cash Discounts
- Markup
- Markdown
- Simple Interest
- Equivalent Values
- Compound Interest
- Equivalent Values in Compound Interest
- Nominal and Effective Interest Rates
- Annuities

- Hospitality MathToggle Dropdown
- Engineering MathToggle Dropdown
- Basic Laws
- Operations with Numbers
- Prime Factorisation and Least Common Multiple
- Fractions
- Exponents
- Reducing Radicals
- Factoring
- Rearranging Formulas
- Solving Linear Equations
- Areas and Volumes of Figures
- Congruence and Similarity
- Functions
- Domain and Range of Functions
- Basics of Graphing
- Transformations
- Graphing Linear Functions
- Graphing Quadratic Functions
- Solving Systems of Linear Equations
- Solving Quadratic Equations
- Solving Higher Degree Equations
- Trigonometry
- Graphing Trigonometric Functions
- Graphing Circles and Ellipses
- Exponential and Logarithmic Functions
- Complex Numbers
- Number Bases in Computer Arithmetic
- Linear Algebra
- Calculus
- Set Theory
- Modular Numbers and Cryptography
- Statistics
- Problem Solving Strategies

- Upgrading / Pre-HealthToggle Dropdown
- Basic Laws
- Place Value in Decimal Number Systems
- Decimals
- Significant Digits
- Prime Factorisation and Least Common Multiple
- Fractions
- Percents
- Ratios and Proportions
- Exponents
- Metric Conversions
- Reducing Radicals
- Factoring
- Solving Linear Equations
- Solving Quadratic Equations
- Polynomial Long Division
- Exponential and Logarithmic Functions
- Statistics

- Nursing Math
- Arithmetic Operations
- Place Value in Decimal Number Systems
- Decimals
- Fractions
- Percents
- Ratios and Proportions
- Interpreting Drug Orders
- Oral Dosages
- Dosage Based on Size of the Patient
- Parenteral Dosages
- Intravenous (IV) Administration
- Infusion Rates for Intravenous Piggyback (IVPB) Bag
- General Dosage Rounding Rules

- Transportation MathToggle Dropdown
- PhysicsToggle Dropdown

1. An IVPB is infusing at \(120\, mL/h\). The concentration is 50 mg in 100 mL of NS. What is the dosage rate in mg/min?

There are a few things we need to convert to get \(120\, mL/h\) to the dosage rate of mg/min. First, we can infuse the concentration of 50 mg in 100 mL of NS.

\[\frac{120\, mL}{1\, h}\times\frac{50\, mg}{100\, mL}=\frac{60\,mg}{1\, h}\]

Next, we need to convert hours into minutes

\[\frac{60\, mg}{1\, h}\times\frac{1\, h}{60\,min}=1\,mg/min\]

The dosage rate for this IV piggyback is 1 mg/min.

2. Your patient is a 125 lb adult. An order for Tagamet 5mg/kg in 50 ml D5W IVPB to be infused in 20 minutes. Use the label below with the drop factor 10 gtts/mL.

**a. How many mL of Tagamet will you add to the IV fluid?**

First, we have to find the weight of the patient in kg.

\[125\,lb=\frac{1\,kg}{2.2\,lb}=56.82kg\]

The order for Tagamet is for 5 mg/kg.

\[56.82\,kg\times\frac{5\,mg}{1\,kg}=284.1\,mg\]

Thus the order should be 284.1 mg.

Next, the Tagament strength from the label is 300mg/2mL.

\[284.1\,mg\times\frac{2\,mL}{300\,mg}=1.9\,mL\]

1.9 mL should be added to the IV.

**b. What will be your flow rate in gtts/min?**

First, we convert Tagamet in 50 mL using the drop factor 10 gtt/mL.

\[50\,mL\times\frac{10\,gtt}{1\,mL}=500\,gtt\]

Then we find the flow rate by dividing the time of 20 minutes.

\[\frac{500\,gtt}{20\,min}=25\,gtt/min\]

**c. In mL/h?**

Converting 50 mL in 20 minutes to mL/h

\[\frac{50\,mL}{20\,min}\times\frac{60\,min}{1\,h}=150\,mL/h\]

3. An order of morphine sulfate 200 mg IVPB in NS 1000 mL to be infused at a rate of 20 mcg/kg/h stat. The patient weighs 134 kg.

**a. How many mg/h of this narcotic analgesic will the patient receive?**

First, we calculate the mcg required for a patient weighing 134 kg at the infusion rate of 20 mcg/kg.

\[134\,kg\times\frac{20\,mcg}{1\,kg}=268\,mcg\]

Now we convert the 268 mcg/h to mg/h

\[\frac{268\,mcg}{1\,h}\times\frac{1\,mg}{1000\,mcg}=2.68\,mg/h\]

The patient will receive 2.68 mg/h IVPB immediately.

**b. How many mL/h of the solution will the patient receive?**

The order of 200 mg IVPB in NS 1000 mL can be used with the 2.68 mg/h to calculate the mL/h to be administered.

\[\frac{1000\,mL}{200\,mg}\times\frac{2.68\,mg}{1\,h}=13.4\,mL/h\]

The patient will receive 13.4 mL/h of morphine sulfate.

Designed by Matthew Cheung. This work is licensed under a Creative Commons Attribution 4.0 International License.

- Last Updated: Nov 30, 2022 5:24 PM
- URL: https://libraryguides.centennialcollege.ca/mathhelp
- Print Page

chat loading...