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Question

Wood Peterson

07/26/2024 · Elementary School

A board is 74.93 centimeters long. How long is the board in inches? Use the following conversion: 1 inch is 2.54 centimeters.

Answer
expertExpert-Verified Answer

Bush Jimenez
Supertutor
4.0 (13votes)

29.51 inches

Solution

To convert the length of the board from centimeters to inches, we use the given conversion factor: 1 inch = 2.54 centimeters.
Given:

 

  • Length of the board = 74.93 centimeters
  • Conversion factor = 1 inch / 2.54 centimeters
    We can find the length in inches by dividing the length in centimeters by the conversion factor:
    \[\text { Length in inches} = \frac { \text { Length in centimeters} } { \text { Conversion factor} } \]
    Substitute the given values:
    \[\text { Length in inches} = \frac { 74.93 \text { cm} } { 2.54 \text { cm/inch} } \]
    Now, perform the division:
    \[\text { Length in inches} = \frac { 74.93} { 2.54} \approx 29.51\]

 

Supplemental Knowledge

Unit conversion is an essential skill in mathematics and science, providing us with an effective means to convert measurements between units and use these measurements in calculations that require identical units for comparison or calculations that depend on consistent units. This process provides essential measurement comparison capabilities between quantities measured using various units or for use within calculations that necessitate consistent units.
Converting between units requires using an accurate conversion factor; to convert centimeters to inches, use 1 inch = 2.54 centimeters as your conversion factor. A general approach involves multiplying any given measurement with an equivalent fraction representing its conversion factor.

 

Concepts to Actions

Converting units in everyday life is essential. For instance, when following a recipe written with metric measurements but your kitchen tools use imperial measurements instead, accurate conversion of measurements must take place to meet both recipes' instructions. Understanding conversions abroad and dealing with various currencies or temperature scales may also prove very handy.
 

Mastering unit conversions can simplify many aspects of daily life and enhance your problem-solving skills. At UpStudy, we offer comprehensive resources and tools to help you understand and apply these concepts effectively.
Visit UpStudy today to explore our live tutor question bank or AI-powered problem-solving services that make learning mathematics both engaging and practical!
For further assistance with understanding unit conversions or any other mathematical challenges you might face,explore UpStudy’s length conversion calculator!

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