Write the equality and two conversion factors for each of the following pairs of units:
a. centimeters and inches
검증된 단계별 안내
1
Identify the standard conversion between centimeters and inches: 1 inch is equal to 2.54 centimeters.
Write the equality based on the conversion: 1 inch = 2.54 cm.
Create the first conversion factor by expressing the equality as a fraction: \( \frac{1 \text{ inch}}{2.54 \text{ cm}} \).
Create the second conversion factor by inverting the first conversion factor: \( \frac{2.54 \text{ cm}}{1 \text{ inch}} \).
Use these conversion factors to convert between centimeters and inches in any given problem by multiplying the quantity by the appropriate conversion factor.
비슷한 문제에 대한 검증된 영상 답변:
이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
1m
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주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Unit Conversion
Unit conversion is the process of converting a quantity expressed in one unit to another unit. This is essential in chemistry and other sciences to ensure that measurements are consistent and comparable. It often involves multiplication by a conversion factor, which is a ratio that expresses how many of one unit are equivalent to another.
Conversion factors are fractions that represent the relationship between two different units. For example, to convert centimeters to inches, the conversion factor is based on the equivalence that 1 inch equals 2.54 centimeters. These factors allow for the systematic conversion of measurements from one unit to another while maintaining the same quantity.
The metric system (centimeters) and the imperial system (inches) are two different systems of measurement. Understanding the differences between these systems is crucial for accurate conversions. The metric system is based on powers of ten, making it easier for calculations, while the imperial system uses various units that do not have a consistent base, requiring specific conversion factors for accurate measurement.