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.

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- Basic Laws
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- Nursing Math
- Arithmetic Operations
- Order of Operations
- Place Value in Decimal Number Systems
- Decimals
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- Percents
- Ratios and Proportions
- Nutrition Labels
- Interpreting Drug Orders
- Oral Dosages
- Dosage Based on Size of the Patient
- Parenteral Dosages
- Intravenous (IV) Administration
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- General Dosage Rounding Rules

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If you ever went to a supermarket, all packaged foods have a **nutrition label**. All nutrition labels gives people 4 important facts:

**1) Serving size / Portion Size**

Serving size is a measurement that reflects how much people usually eat. For example, if it says 4 serving sizes, it means that it usually serves 4 people. Also, there is usually a measurement with the serving size, where each serving size is related to a measurement, in the nutrition label below, it is 1 cup or 227g.

**2) Calories for each serving**

Measures the amount of energy from a serving of this food.

**3) Amount of Nutrients**

The label contains all the nutrients that are present in the food like fats, sodium and vitamins and provides the amount that is contained for each serving.

**Get Less Nutrients**: Fats, Saturated Fats, Trans Fats, Cholesterol, Sodium

**Get More Nutrients**: Carbohydrates, Fiber, Vitamin A, Vitamin C, Calcium, Iron

**4) Percentage of Daily Value **

The daily percentage value tells how much for each nutrients the person should consume for each day. A person should aim to eat less than 100% of daily value each day. For example, lets look at sodium, this food is high in daily value of sodium at 37% for each serving. If we eat 2 servings we would then get 74% of daily value of sodium. It is recommended to eat less than 100% of daily value. Daily value helps determine how much should you eat certain foods to not consume more nutrients than needed per day.

All Nutrition Label questions involve referring to the nutrition label to get information to solve **proportional questions**.

**Example**

This the is the nutrition label that will be used to calculate the next few problems. This nutrition label is for maple syrup.

**1) Involves Finding Amount of Nutrients: **Albert ate \( \cfrac{3}{4} \) **cups **of maple syrup. How much **mg of sodium** did he consume?

i) Look at the nutrients label and find the **amount** for each serving and **mg of sodium** for each serving. For each serving, it is \( \cfrac{1}{4} \) **cups **and each of serving contains **10 mg **of sodium.

ii) Place into a ratio:

\( \cfrac{1}{4} \text{cups} : 10 \text{mg} \)

iii) Find what is given and what we need to find

**Given: ** \( \cfrac{3}{4} \) cups

**Find:** x mg of sodium

iv) Fill into the **proportion **to solve:

\( \cfrac{1}{4} \text{cups} : 10 \text{mg} :: \cfrac{3}{4} \text{cups} : x \text{ mg} \)

**Notice: **It is important to **match **the units, if cups is first for the first **ratio **then cups is first for the second **ratio**.

v) Solve the proportion:

\( \cfrac{1}{4} \text{cups} : 10 \text{mg} :: \cfrac{3}{4} \text{cups} : x \text{ mg} \)

\( \cfrac{1}{4} x = 10 \times \cfrac{3}{4} \)

\( \cfrac{1}{4} x = \cfrac{10}{1} \times \cfrac{3}{4} \)

\( \cfrac{1}{4} x = \cfrac{10 \times 3}{1 \times 4} \)

\( \cfrac{1}{4} x = \cfrac{30}{4} \)

\( \cfrac{4}{1} \times \cfrac{1}{4} x = \cfrac{4}{1} \times \cfrac{30}{4} \)

\( x = \cfrac{120}{4} \)

\( x = 30\text{ mg} \)

Hence, \( \cfrac{3}{4} \) **cups **of maple syrup contains 30mg of sodium.

**2) Involves Finding Amount of Daily Value: **Albert ate \( \cfrac{1}{8} \) **cups **of maple syrup. How much** **\(\%\) of **daily value of potassium** did he consume?

i) Look at the nutrients label and find the **amount** for each serving and \(\%\) of **daily value of potassium** for each serving. For each serving, it is \( \cfrac{1}{4} \) **cups **and each of serving contains 4%** **of sodium.

ii) Place into a ratio:

\( \cfrac{1}{4} \text{cups} : 4 \% \text{ of daily value} \)

iii) Find what is given and what we need to find

**Given: ** \( \cfrac{1}{8} \) cups

**Find:** x % daily value

iv) Fill into the **proportion **to solve:

\( \cfrac{1}{4} \text{cups} : 4 \% \text{ of daily value} :: \cfrac{1}{8} \text{cups} : x \% \text{ of daily value} \)

**Note: **When calculating with percentage, don't convert the percentage to decimal. For example 4% = 0.04. You can convert it, it won't be wrong, but this will add extra steps.

v) Solve the proportion:

\( \cfrac{1}{4} \text{cups} : 4 \% \text{ of daily value} :: \cfrac{1}{8} \text{cups} : x \% \text{ of daily value} \)

\( \cfrac{1}{4} x = 4 \times \cfrac{1}{8} \)

\( \cfrac{1}{4} x = \cfrac{4}{1} \times \cfrac{1}{8} \)

\( \cfrac{1}{4} x = \cfrac{4 \times 1}{1 \times 8} \)

\( \cfrac{1}{4} x = \cfrac{4}{ 8} \)

\( \cfrac{4}{1} \times \cfrac{1}{4} x = \cfrac{4}{1} \times \cfrac{4}{ 8} \)

\( x = \cfrac{16}{ 8} \)

\( x = 2 \% \text{ of daily value} \)

Hence, \( \cfrac{1}{8} \) **cups **of maple syrup contains 2% daily value of potassium.

- Last Updated: Nov 24, 2023 12:54 PM
- URL: https://libraryguides.centennialcollege.ca/mathhelp
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