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Chapter 9: Problem 2

Use dimensional analysis to convert the quantity to the indicated unit. If necessary, round the answer to two decimal places. 100 in. to \(\mathrm{ft}\)

Short Answer

Expert verified
100 inches equals \(8.33 \: feet\).

Step by step solution

01

Identify Conversion Factor

Initially, identify the conversion factor between the two units. In this case, it is known that 1 foot is equivalent to 12 inches.
02

Set up Conversion Equation

The next step is to set up a conversion equation using dimensional analysis, which allows conversion from one unit to another. In the equation, start with the given quantity (100 inches) and multiply it by the conversion factor. The aim is to cancel out the primary unit (inches) and get the result in the desired unit (feet). So, the conversion equation will be: 100 inches * \( \frac{1 \: foot}{12 \: inches} \).
03

Perform Calculation

Cancel out the inches in the numerator and in the denominator. Then, perform the multiplication operation to get the result. Thus, the calculation becomes: 100 * \( \frac{1}{12} \) which equals approximately 8.33 feet.

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Most popular questions from this chapter

In Exercises 53-54, use the unit fractions \(\frac{5280 \mathrm{ft}}{1 \mathrm{mi}}, \frac{12 \mathrm{in} .}{1 \mathrm{ft}}\), and \(\frac{2.54 \mathrm{~cm}}{1 \mathrm{in} .}\). Convert \(30 \mathrm{mi}\) to \(\mathrm{km}\).

In Exercises 67-74, select the best estimate for the measure of the given item. The length of a pen a. \(30 \mathrm{~cm}\) b. \(19 \mathrm{~cm}\) c. \(19 \mathrm{~mm}\)

Use unit fractions to express 120 miles per hour in feet per second.

Select the best estimate for the measure of the given item. The height of a room a. \(4 \mathrm{~mm}\) b. \(4 \mathrm{~cm}\) c. \(4 \mathrm{~m}\) d. \(4 \mathrm{dm}\)

Convert the given unit of weight to the unit indicated. \(870 \mathrm{mg}\) to \(\mathrm{g}\)
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