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Chapter 8: Problem 15

Complete. 63 in. =______ ft

Short Answer

Expert verified
63 inches is equal to 5.25 feet.

Step by step solution

01

Identify conversion factor

To convert inches to feet, use the conversion factor: 1 foot = 12 inches.
02

Set up the proportion

We know 1 foot = 12 inches. To find how many feet are in 63 inches, set up the proportion: \( \frac{63 \text{ in}}{1} \times \frac{1 \text{ ft}}{12 \text{ in}} \)
03

Perform the calculation

Multiply the number of inches by the conversion factor: \( \frac{63}{12} = 5.25 \text{ ft} \)
04

Verify the result

Double-check the multiplication and division to ensure the calculation is correct.

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Key Concepts

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

inches to feet conversion
Converting inches to feet is a common task in math and everyday life. The key here is knowing that 1 foot equals 12 inches.
This relationship serves as a bridge between the two units.
Whether you're measuring the length of a room or the height of a person, this simple conversion factor is essential.
To convert inches to feet, divide the number of inches by 12.
For example, converting 63 inches to feet involves dividing 63 by 12.
proportion setup
Setting up the right proportion is crucial for correct unit conversion.
We use the relationship between inches and feet to form a proportion.
Here鈥檚 how:
We know 1 foot equals 12 inches.
So, the proportion is \( \frac{63 \text{ in}}{1} \times \frac{1 \text{ ft}}{12 \text{ in}} \).
This setup ensures that the inches cancel out, leaving the result in feet.
It's basically scaling down the larger unit (inches) using a smaller unit (foot).
conversion factor
A conversion factor is a number used to change one set of units to another.
Here, the conversion factor between inches and feet is 12.
We use this factor because there are 12 inches in 1 foot.
To convert inches to feet, we divide by this factor.
This is why the conversion factor is vital.
Without it, we can't accurately change one unit to another.
verification
Verifying your result ensures accuracy.
Even simple conversions can be prone to mistakes.
To verify, check your multiplication and division steps.
Recalculate if necessary.
For our example, divide 63 by 12. If you get 5.25, the conversion is correct.
Remember, this step helps catch errors before finalizing your answer.

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