Question

Convert the following to the equivalent measures indicated. \(66.25 \mathrm{~cm}=\) ______ \(\mathrm{in}\)

Short answer

66.25 cm is approximately 26.06 inches.

Step-by-step solution

Understand the Conversion Factor

To convert from centimeters to inches, we need to know the standard conversion factor. 1 inch is equal to 2.54 centimeters.

Set Up the Conversion Equation

Using the conversion factor, set up the equation to convert from centimeters to inches. This is done by dividing the number of centimeters by the conversion factor: \[\text{Inches} = \frac{\text{Centimeters}}{2.54}\]

Plug in the Values

Insert the given centimeter value into the conversion equation. \[\text{Inches} = \frac{66.25}{2.54}\]

Calculate the Result

Carry out the division to find the equivalent value in inches. Calculating \( \frac{66.25}{2.54} \) gives approximately 26.0629921.

Round as Needed

Depending on the required precision, round the answer to a suitable number of decimal places. For most practical purposes, rounding to two decimal places is sufficient. Thus, 66.25 cm is approximately 26.06 inches.

Key concepts

Centimeters to Inches

Are you curious about how to change centimeters into inches? It's all about understanding the conversion factor. One inch is the same as 2.54 centimeters. This means that each inch contains 2.54 units of centimeters.

To convert from centimeters to inches, you take the length in centimeters and divide it by 2.54. For example, if you have 66.25 centimeters and want to know how many inches that is, you use this formula:

• Inches = Centimeters / 2.54

Plug the numbers in, and calculate away! It's that simple. Knowing this makes measurement conversions easy and accessible for everyday use.

Measurement Conversion

Measurement conversion helps you switch between different units to compare and understand sizes, distances, and quantities in a universal way. When you convert from centimeters to inches, it relies on a key idea—the conversion factor.

Remember these points:

• Conversion Factor: A multiplier used to convert one unit to another. For centimeters to inches, it is 2.54.
• Equation Setup: Place your values into the conversion equation, and solve for the new unit.
• Flexibility: The conversion depends on what you’re measuring and any specific precision requirements.

Mastering measurement conversions can make tasks in science, engineering, and everyday life easier by allowing you to understand and use different measurement systems effectively.

Rounding Precision

Rounding precision is crucial in measurement conversion to present a clear and understandable answer. After converting, you might get a number with a long string of decimals. This needs to be simplified.

Here’s what to keep in mind:

• Rounding Rules: Look at the number right after your desired decimal place. If it’s 5 or higher, round up.
• Practical Use: For everyday tasks, rounding to two decimal places is usually enough. In precise scientific calculations, stick to more decimal places if needed.
• Clarity and Economy: Rounding offers clearer numbers which are easier to read and understand without losing significant accuracy.

By rounding, you transform a sometimes overwhelming number into something simple and practical, while still being accurate for real-world application.