Write an equality and two conversion factors for one tablet of the iron supplement

Write an equality and two conversion factors for one tablet of the iron supplement.

The correct answer and explanation is:

Correct Answer:

If one tablet of the iron supplement contains 65 milligrams (mg) of iron, then:

Equality:
1 tablet = 65 mg iron

Two conversion factors:

1. 65 mg iron1 tablet\frac{65\ \text{mg iron}}{1\ \text{tablet}}
2. 1 tablet65 mg iron\frac{1\ \text{tablet}}{65\ \text{mg iron}}

Explanation:

An equality shows a direct relationship between two quantities. In this case, it tells us how much iron is in a single tablet. If one iron supplement tablet contains 65 milligrams of iron, then the equality is written as:

1 tablet = 65 mg iron

This means every time someone takes one tablet, they are consuming 65 milligrams of iron.

Conversion factors are ratios that are mathematically equal to 1. They allow conversion between units without changing the actual value. Using the equality above, two conversion factors can be formed:

• The first conversion factor, 65 mg iron1 tablet\frac{65\ \text{mg iron}}{1\ \text{tablet}}, is used when converting tablets into milligrams of iron. For example, if a person takes 3 tablets, this factor can be used to find how much iron they consumed: 3 tablets×65 mg iron1 tablet=195 mg iron3\ \text{tablets} \times \frac{65\ \text{mg iron}}{1\ \text{tablet}} = 195\ \text{mg iron}
• The second conversion factor, 1 tablet65 mg iron\frac{1\ \text{tablet}}{65\ \text{mg iron}}, is used when converting milligrams of iron into the number of tablets. For example, if a person needs 130 mg of iron: 130 mg iron×1 tablet65 mg iron=2 tablets130\ \text{mg iron} \times \frac{1\ \text{tablet}}{65\ \text{mg iron}} = 2\ \text{tablets}

These tools help in dosage calculations, which are crucial in healthcare and pharmacy settings to ensure safe and effective use of medications.