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Chapter 8: Problem 22

Complete. 0.25 in. \(=\) ____________ \(\mathrm{mm}\) (The thickness of an eraser on a pencil)

Short Answer

Expert verified
6.35 millimeters

Step by step solution

01

- Understand the Conversion Factor

The conversion factor between inches and millimeters is that 1 inch is equal to 25.4 millimeters.
02

- Set Up the Conversion

To convert inches to millimeters, multiply the number of inches by the conversion factor. Therefore, you need to multiply 0.25 inches by 25.4 millimeters per inch.
03

- Perform the Multiplication

Calculate the product: \(0.25 \times 25.4 = 6.35\)
04

- Complete the Unit Conversion

0.25 inches is equal to 6.35 millimeters.

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Key Concepts

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

length conversion
Length conversion involves changing a measurement from one unit to another. It is an essential skill in mathematics, science, and everyday life. In this exercise, we've demonstrated how to convert inches to millimeters. Understanding how to convert between units allows you to compare measurements accurately.
For example:
  • If you have an object measured in inches and you need the measurement in millimeters, you will need the conversion factor.
  • This is useful in various applications, like crafting, engineering, or any time precision is crucial.
  • Remember, always double-check your work to ensure accuracy, especially when precise measurements are needed.
inches to millimeters
Understanding the relationship between inches and millimeters is key in unit conversion. The conversion factor between these units is 1 inch = 25.4 millimeters. This means for every inch, there are 25.4 millimeters.
Let's break this down:
  • This conversion factor is critical and must be memorized or at least easily accessible.
  • Remembering that there are 25.4 millimeters in an inch makes the conversion straightforward when you need to convert.
  • For example: To convert 2 inches to millimeters, you simply multiply 2 inches by 25.4 (since each inch has 25.4 millimeters).
  • For our specific problem, converting 0.25 inches, we used the same principle and multiplied 0.25 by 25.4.
mathematical multiplication
Mathematical multiplication is one of the basic arithmetic operations. In unit conversion, it is often necessary to multiply a given number by a conversion factor to switch from one unit to another.
For example:
  • In our exercise, we had to multiply 0.25 inches by 25.4 millimeters per inch to find the equivalent length in millimeters.
  • The formula looks like this: \[ \text{millimeters} = \text{inches} \times 25.4 \]
  • This demonstrates the simple rule of multiplication: multiplying a number by another number (the conversion factor).
  • Remember: When performing multiplication, accuracy is important, so take care to place decimal points correctly and align numbers properly in your calculations.

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