Convert 6400 ounces (oz) to tons (T).
The correct answer and explanation is:
To convert ounces (oz) to tons (T), we need to know the conversion factor. One ton (T) is equal to 32,000 ounces (oz).
To find how many tons 6400 ounces equals, use the formula: tons=ounces32,000\text{tons} = \frac{\text{ounces}}{32,000}
Now, substitute the given value of ounces: tons=6400 oz32,000 oz/ton=0.2 tons\text{tons} = \frac{6400 \, \text{oz}}{32,000 \, \text{oz/ton}} = 0.2 \, \text{tons}
So, 6400 ounces is equal to 0.2 tons.
Explanation:
Ounces (oz) and tons (T) are both units used to measure weight, but they are used for different scales of measurement. Ounces are typically used for small weights, while tons are used for much larger weights, often related to industrial or transportation contexts.
When converting between the two, it’s important to know the relationship between them. There are 16 ounces in a pound and 2000 pounds in a ton. Therefore, there are 32,000 ounces in a ton (16 oz × 2000 lbs).
This conversion is straightforward once the factor is known. By dividing the number of ounces by 32,000, you can easily convert any amount of ounces to tons. Similarly, multiplying tons by 32,000 will convert tons back into ounces. This method ensures that the weight measurements are consistently and accurately converted across different units.