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Chapter 6: Problem 51

Change 9,560 pounds to tons. Round your answer to the nearest tenth of a ton.

Short Answer

Expert verified
9,560 pounds is approximately 4.8 tons.

Step by step solution

01

Understand the Units

1 ton equals 2,000 pounds. This is a standard conversion rate between pounds and tons. Knowing this helps us set up our conversion.
02

Set Up the Conversion Calculation

Set up the ratio by dividing the number of pounds by the number of pounds per ton: \[ \text{Tons} = \frac{\text{Pounds}}{2000} = \frac{9560}{2000} \]
03

Perform the Division

Calculate the division: \[ \frac{9560}{2000} = 4.78 \text{ tons} \]
04

Round to the Nearest Tenth

Round 4.78 to the nearest tenth. Since the hundredths place is '8', we round up, resulting in 4.8 tons.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Rounding Decimals
Rounding decimals is a useful skill when you need to make numbers easier to work with, especially in measurement and conversion calculations. It involves changing a number to a specified degree of accuracy. In this exercise, we're rounding decimal numbers to the nearest tenth. A decimal number like 4.78 consists of place values where '7' is in the tenths place and '8' is in the hundredths place. To round to the nearest tenth:
  • Look at the hundredths digit, which is '8'.
  • If it's 5 or greater, increase the tenths digit by one. Here, '8' means we increase '7' to '8'.
  • If it were less than 5, the tenths digit would remain the same.
Hence, 4.78 rounded to the nearest tenth is 4.8. This method simplifies numbers, making them more intuitive for everyday use.
Measurement Units
Measurement units give us a way to express and compare quantities. They tell us the magnitude of a quantity. In this instance, we're dealing with pounds and tons, both units of weight. The pound is a smaller unit, commonly used in the United States to measure body weight or food items. On the other hand, a ton is a larger unit often used for heavier objects.
  • 1 ton equals 2,000 pounds.
The understanding of measurement units is crucial when performing any conversion or calculation. It ensures that the conversion calculations provide accurate and meaningful results, which correspond to real-world contexts.
Conversion Calculation
Conversion calculation is the process of transforming a quantity from one unit to another. It's powerful because it allows comparisons and computations with different measurement units. In our example problem, the goal is to convert 9,560 pounds into tons. To do this, we use a simple calculation following the unit conversion rate:
  • Set up the conversion by dividing the number of pounds by the pounds-per-ton conversion factor: \[ \text{Tons} = \frac{9560}{2000} \]
  • Perform the division to arrive at a value of 4.78 tons.
This step-by-step approach simplifies the conversion process and ensures accuracy. By mastering conversion calculations, you can easily handle different measurement tasks.

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