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Chapter 6: Problem 12

Change 101 inches to yards. Round your answer to the nearest tenth of a yard.

Short Answer

Expert verified
101 inches is approximately 2.8 yards.

Step by step solution

01

Understand the Conversion

Recognize that we need to convert inches to yards. We know that 1 yard is equal to 36 inches.
02

Perform the Conversion

To convert inches to yards, divide the total number of inches by the number of inches in a yard. So, we calculate: \( \frac{101}{36} \) which equals approximately 2.8055556 yards.
03

Round to the Nearest Tenth

Look at the hundredths place of the decimal 2.8055556. The digit in the hundredths place is 0. Therefore, round down the decimal to have one decimal place, which results in 2.8 yards.

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Key Concepts

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

Inches to Yards Conversion
Inches and yards are both units used to measure length or distance, with inches being a smaller unit and yards being a larger one. Understanding the relationship between these units is key for conversion.
The fundamental idea is that 1 yard is equivalent to 36 inches. This means that if you want to convert a quantity measured in inches to yards, you need to divide the number of inches by 36. For example, with 101 inches, the conversion to yards is achieved by dividing 101 by 36.
This conversion is important in various fields such as construction, tailoring, and athletics, where different units might be better suited for specific tasks.
Rounding Decimals
Rounding decimals is an essential skill for making numbers easier to work with, especially when exact values are not necessary or when working with space constraints, like fitting numbers in a chart or report.
To round a decimal to a particular place, such as the nearest tenth, you look at the digit in the next smallest place. In our example of 2.8055556, the digit in the hundredths place is 0. Since it is less than 5, we do not round up, and 2.8055556 becomes 2.8.
This rounding method helps simplify calculations and reports by providing a clean and concise number that is easy to interpret.
Measurement Conversions
Measurement conversions are fundamental in mathematics and everyday life, helping us change units from one system to another based on the context or the need.
Conversions may involve lengths, weights, or volumes, among other measurements. Understanding the conversion factors between units is crucial for accuracy. In our exercise, converting inches to yards required knowing that 36 inches equal 1 yard.
  • Always be clear on the conversion factor. It acts as the bridge between two units.
  • Use division or multiplication to perform the conversion, depending on whether you want to go from a smaller unit to a larger one or vice versa.
  • Check your results for sense-making, ensuring that they make sense in the given context.
Mastering conversion provides a solid foundation for problem-solving across many subjects.

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Most popular questions from this chapter

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Use the conversion \(1 \mathrm{yd}=0.9144 \mathrm{~m}\) to convert 20 yards to centimeters, rounded to the nearest tenth of a centimeter.

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