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Chapter 6: Problem 58

Change \(5.3\) tons to ounces.

Short Answer

Expert verified
5.3 tons is equal to 169,600 ounces.

Step by step solution

01

Understand the Unit Conversion

To convert tons to ounces, we must understand the intermediary conversions. First, convert tons to pounds, then pounds to ounces.
02

Convert Tons to Pounds

We know that 1 ton is equal to 2000 pounds. Therefore, to convert 5.3 tons to pounds, multiply 5.3 by 2000.\[ 5.3 \text{ tons} \times 2000 \text{ pounds/ton} = 10600 \text{ pounds} \]
03

Convert Pounds to Ounces

There are 16 ounces in a pound. To convert 10600 pounds to ounces, multiply 10600 by 16.\[ 10600 \text{ pounds} \times 16 \text{ ounces/pound} = 169600 \text{ ounces} \]

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Key Concepts

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

Tons to Pounds Conversion
When converting weight from tons to pounds, it is crucial to recognize the conversion factor: 1 ton is equal to 2000 pounds. This relationship allows us to seamlessly convert the weight measurement from a larger unit (tons) to a smaller unit (pounds).
For example, if you have 5.3 tons, simply multiply by the conversion factor of 2000 to switch from tons to pounds. The calculation looks like this:
  • 5.3 tons x 2000 pounds/ton = 10600 pounds
This step is foundational when dealing with unit conversions in measurements involving weight, and plays a vital role in transitioning from tons to smaller units like ounces.
Pounds to Ounces Conversion
Once you have the weight measurement in pounds, the next logical step could be to convert to ounces. This is helpful when more precision is required, as ounces represent a smaller unit of weight measurement.
The conversion factor from pounds to ounces is straightforward: 1 pound is equal to 16 ounces. Thus, when you convert pounds to ounces, multiply the amount of pounds by 16. For example, to convert 10600 pounds to ounces, use the conversion:
  • 10600 pounds x 16 ounces/pound = 169600 ounces
This process highlights how weights are broken down from larger units to smaller units, offering a detailed look into the measurement's finer increments.
Measurement Units
Comprehending different units of measurement and their interrelationships is essential for many practical applications, from cooking to industrial manufacturing. Units of weight, such as tons, pounds, and ounces, use tiered conversion steps, where each is a multiple of the smaller unit by a consistent factor.
This systematic approach not only aids in accurate conversions but also helps ensure consistency in fields requiring precise measurements.
  • Tons often represent large-scale measurements.
  • Pounds work well for day-to-day, mid-scale quantities.
  • Ounces provide precision and fine detail.
Learning how to effectively transition between these units empowers you to manage various measurement-related challenges, ensuring accuracy whether in personal projects or professional domains.

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