If you convert 125 grams (g) to ounces (oz.) knowing that 28.349g = 1oz, then the 28.349 g need to be in the denominator of the conversion factor.
The Correct Answer and Explanation is :
To convert grams to ounces, you can use the conversion factor where 1 ounce is equal to 28.349 grams. When converting units, it’s crucial to set up your conversion factor correctly to ensure that the units cancel out properly.
Conversion Steps
- Identify the Conversion Factor:
Since we know that 1 ounce (oz) = 28.349 grams (g), we can express this as:
[
\text{1 oz} = 28.349 \text{ g}
]
To convert grams to ounces, we need to rearrange this equation. We can express it as:
[
\text{1 g} = \frac{1 \text{ oz}}{28.349 \text{ g}}
]
This shows that 1 gram is equal to 1 ounce divided by 28.349 grams. - Set Up the Conversion:
Now, to convert 125 grams to ounces, we set it up as follows:
[
125 \text{ g} \times \left( \frac{1 \text{ oz}}{28.349 \text{ g}} \right)
] - Cancel Units:
In this setup, the grams unit in the numerator (from 125 g) cancels with the grams unit in the denominator of the conversion factor:
[
= \frac{125}{28.349} \text{ oz}
] - Calculate the Result:
Performing the calculation:
[
\frac{125}{28.349} \approx 4.41 \text{ oz}
]
Conclusion
Thus, 125 grams is approximately equal to 4.41 ounces.
Explanation of the Importance of Conversion Factors
Using conversion factors is essential in science and everyday life, especially when dealing with recipes, medications, or materials that require precise measurements. The correct placement of the conversion factor ensures that the units you want to convert to appear in the final answer, while those you want to eliminate cancel out.
In our example, by placing grams in the denominator, we effectively transformed the measurement from grams to ounces, yielding a clear and accurate result. Understanding this method is vital for accuracy in fields such as healthcare, cooking, and chemistry, where improper conversions can lead to significant errors.