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
- Simply Math
- Business MathToggle Dropdown
- Place Value in Decimal Number Systems
- Arithmetic Operations
- Basic Laws
- Operations on Signed numbers
- Order of Operations
- Fractions
- Decimals
- Percents
- Ratios and Proportions
- Exponents
- Statistics
- Factoring
- Rearranging Formulas
- Solving Linear Equations
- Solving Systems of Linear Equations
- Trade and Cash Discounts
- Multiple Rates of Discount
- Payment Terms and Cash Discounts
- Markup
- Simple Interest
- Compound Interest
- Nominal and Effective Interest Rates
- Ordinary Simple Annuities
- Ordinary General Annuities

- Hospitality MathToggle Dropdown
- Place Value in Decimal Number Systems
- Arithmetic Operations
- Order of Operations
- Basic Laws
- Prime Factorisation and Least Common Multiple
- Fractions
- Decimals
- Percents
- Exponents
- Units of Measures
- Fluid Ounces and Ounces
- Metric Measures
- Yield Percent
- Recipe Size Conversion
- Ingredient Ratios
- Food-Service Industry Costs

- Engineering MathToggle Dropdown
- Basic Laws
- Order of Operations
- Prime Factorisation and Least Common Multiple
- Fractions
- Exponents
- Radicals
- 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
- Radicals
- Reducing Radicals
- Metric Conversions
- Factoring
- Solving Linear Equations
- Solving Quadratic Equations
- Functions
- Domain and Range of Functions
- Polynomial Long Division
- Exponential and Logarithmic Functions
- Statistics

- Nursing Math
- Arithmetic Operations
- Order of Operations
- Place Value in Decimal Number Systems
- Decimals
- Fractions
- Percents
- Ratios and Proportions
- Nutrition Labels
- 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

\[X=D\times \frac{Q}{H}\] where, \(X\) is the single individual dose amount of medication given (usually in tablets or mL); \(D\), \(H\), \(Q\), |

**Examples:**

1. Physician orders 500 mg of ibuprofen p.o. q.8.h. x 14 days for a patient. Quantity of Ibuprofen is 250 mg.

**a. What single dose should you administer?**

\[X=D\times \frac{Q}{H}\]

\(D=500\) mg of ibuprofen

\(H=250\) mg

\(Q=1\) tablet of ibuprofen

\[X=500mg\times \frac{1\,tablet}{250mg}=2\,tablets\]

So, you would administer 2 tablets of ibuprofen in a single dose orally.

**b. What is the daily dose?**

The order is q.8.h. represents every 8 hours. Since there are 24 hours each day. Every 8 hours represents three times a day.

So the patient will receive \(3\times 2=6\) tablets each day.

**c. What is the total dose for 14 days**

In 14 days, the patient will receive \(14\times 6=84\) tablets.

2. The prescriber orders Zoloft (sertraline hydrochloride) oral solution 25 mg b.i.d. for 7 days. The drug label can be seen below.

**a. What single dose should you administer?**

\[X=D\times \frac{Q}{H}\]

\(D=25\) mg of sertraline oral solution

\(H=20\) mg

\(Q=1\) mL

\[X=25\,mg\times \frac{1\,mL}{20\,mg}=1.25\,mL\]

So, you would administer 1.25 mL of Zoloft oral solution in a single dose orally.

**b. What is the daily dose?**

The order is b.i.d. or twice a day.

So the patient will receive \(2\times 1.25=2.5\) mL each day.

**c. What is the total dose for 7 days**

In 7 days, the patient will receive \(7\times 2.5=17.5\) mL.

3. How many 300-mg Ziagen (abacavir sulfate) tablets contain 0.9g of Ziagen?

Notice that there are mg and g listed as the unit of the tablets. Thus, you need to convert into the same unit of measurement before finding the number of tablets.

We can start by converting 0.9g into mg, knowing that \(1g=1000mg\)

\[0.9\,g\times\frac{1000\,mg}{1\,g}=900\,g\]

Now we convert 900mg into tablets.

\[900\,mg\times\frac{1\,tablet}{300\,mg}=3\,tablets\]

So, three 300 mg tablets contain 0.9 g of Ziagen.

4. An order of Aldactazide (spinolactone and hydrochlorothiazide) 100 mg/100 mg p.o. b.i.d. Read the label below and determine how many tablets of this diuretic you will administer each day?

The order is for 100 mg/100 mg and the label reads 25 mg/25 mg per tablet.

\[100 mg/100 mg \times\frac{1\,tablet}{25\,mg/25\,mg}=4\,tablets\]

Each dose will contain 4 tablets of Aldactazide. B.i.d. represents twice a day, so in one day, the patient will receive 8 tablets of Aldactazide.

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

- Last Updated: Sep 22, 2023 2:04 PM
- URL: https://libraryguides.centennialcollege.ca/mathhelp
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