How many tons are in 5,000 lbs?
Answer (2)
We are given a weight of 5 , 000 lbs and need to convert it to tons.
We know that 1 ton = 2 , 000 lbs .
Divide the given weight in pounds by the conversion factor: 2000 5000 = 2 5 = 2.5 .
Therefore, 5 , 000 lbs = 2 2 1 .
Explanation
Understanding the Problem We need to convert 5 , 000 pounds (lbs) to tons. We know that 1 ton is equal to 2 , 000 lbs.
Setting up the Conversion To convert pounds to tons, we divide the number of pounds by the number of pounds in a ton. So, we divide 5 , 000 lbs by 2 , 000 lbs/ton.
Performing the Calculation Now, let's perform the division: 2000 lbs/ton 5000 lbs = 2000 5000 tons We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2000 :
2000 5000 = 2 × 1000 5 × 1000 = 2 5 So, we have: 2 5 tons = 2.5 tons
Final Answer Therefore, 5 , 000 lbs is equal to 2.5 tons, which is the same as 2 2 1 tons.
Examples
Imagine you're shipping goods, and you know the weight of your shipment is 5,000 lbs. To determine how many tons you're shipping, you need to convert pounds to tons. Knowing that 1 ton equals 2,000 lbs, you can easily calculate the weight in tons. This conversion is crucial for logistical planning, determining shipping costs, and ensuring compliance with weight restrictions. For example, if a truck has a weight limit of 5 tons, you can quickly determine if your 5,000 lbs shipment (which is 2.5 tons) can be transported without exceeding the limit.
5,000 lbs is equal to 2.5 tons, which can be calculated by dividing the weight in pounds by the pounds per ton. This is done using the conversion factor of 1 ton = 2,000 lbs. Therefore, the calculation is \frac{5000 \text{ lbs}}{2000 \text{ lbs/ton}} = 2.5 \text{ tons}.
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