Convert 2100 grams into ounces. Round your answer to the nearest tenth.
The correct answer and explanation is:
To convert grams to ounces, you need to use the conversion factor:
1 gram = 0.03527396 ounces.
So, to convert 2100 grams to ounces, you can multiply 2100 by 0.03527396. 2100 grams×0.03527396 ounces/gram=74.073 ounces2100 \text{ grams} \times 0.03527396 \text{ ounces/gram} = 74.073 \text{ ounces}
Now, rounding this to the nearest tenth: 74.073 ounces≈74.1 ounces74.073 \text{ ounces} \approx 74.1 \text{ ounces}
Therefore, 2100 grams is approximately 74.1 ounces.
Explanation:
The reason for the conversion is that grams and ounces are both units of mass, but they are used in different measurement systems. Grams are part of the metric system, whereas ounces are part of the imperial system used primarily in the U.S. and other countries that still use imperial units.
To convert between the two systems, it is important to use the correct conversion factor. The conversion factor of 0.03527396 comes from the fact that 1 ounce is equivalent to 28.3495231 grams, and when you reverse this relationship, you get that 1 gram equals 0.03527396 ounces.
This kind of conversion is useful when working with recipes, packaging, or scientific measurements where different systems are used for mass or weight. It is also essential to round the result when necessary, particularly in contexts where excessive precision may not be required, such as in cooking or everyday use. By rounding the result, you maintain practical simplicity while ensuring the measurement is accurate enough for most purposes.