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Chapter 6: Problem 5

Change 235 inches to yards. Round your answer to the nearest tenth of a yard.

Short Answer

Expert verified
235 inches is approximately 6.5 yards.

Step by step solution

01

Understand the Conversion Factor

First, you need to know the conversion factor between inches and yards. There are 36 inches in a yard. This means to convert from inches to yards, you need to divide the number of inches by 36.
02

Perform the Division

Now, take the number of inches given, which is 235, and divide it by the number of inches in a yard (36).\[235 \text{ inches} \div 36 \text{ inches/yard} = 6.527777...\]
03

Round the Result

Look at the result of the division, which is approximately 6.527777. To round this to the nearest tenth of a yard, you should focus on the first digit after the decimal point. Since the second digit (2) is less than 5, you keep the first digit (5) as it is. Thus, 6.527777 rounds to 6.5 when rounded to the nearest tenth.

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Key Concepts

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

Inches to Yards
When you convert inches to yards, you're essentially trying to gauge how many standard yard lengths fit into a certain number of inches. The fundamental component of this conversion is knowing that one yard equals 36 inches.
This value serves as a baseline for understanding how large a yard is relative to an inch.
  • To perform the conversion, you divide the number of inches by 36.
  • For example, with 235 inches, you would calculate \(235 \div 36\).
This provides you with the number of yards equivalent to your inch measurement. So, mastering this simple division gives you the ability to switch between these two units effortlessly.
Rounding Numbers
Rounding is a mathematical method used to simplify numbers, keeping them easy to deal with. It helps present the number in a more readable form by limiting the number of digits.
The goal is to round to the nearest desired place value.
  • To round to the nearest tenth, assess the digits involved.
  • If rounding 6.527777, you focus on the first digit after the decimal point, and check the second digit.
  • If the second digit is 5 or greater, you round the first digit (5 in this case) up, making it 6.
  • If it's less than 5, you leave the first digit as is.
In this example, the number was rounded to 6.5 yards.
Conversion Factor
A conversion factor is a numerical multiplier that allows you to change a quantity expressed in one unit to the same quantity in a different unit. In the context of inches and yards, the conversion factor is crucial as it outlines the relationship between these units.
This relationship tells us that 1 yard is equivalent to 36 inches.
  • When you have a conversion factor, you multiply or divide by it to switch units.
  • To convert from inches to yards, divide the number of inches by 36 鈥� our conversion factor.
It's essential to grasp this concept because it applies to many different kinds of unit conversions, not just inches to yards. Understanding and using conversion factors efficiently will make working with measurements easier and less prone to errors.

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Most popular questions from this chapter

Use the conversion \(1 \mathrm{oz}=28.35 \mathrm{~g}\) to convert 29 ounces to grams, rounded to the nearest tenth of a gram.

Use the conversion \(1 \mathrm{~m}=1.0936 \mathrm{yd}\) to convert 44 yards to meters, rounded to the nearest tenth of a meter.

Change 18,439 millilitres to litres.

Use the conversion \(1 \mathrm{~kg}=2.2 \mathrm{lb}\) to convert \(19.4\) kilograms to pounds, rounded to the nearest tenth of a pound.

Use the conversion \(1 \mathrm{~m}=1.0936 \mathrm{yd}\) to convert \(8.4\) meters to yards, rounded to the nearest tenth of a yard.
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