Write the equality and two conversion factors for each of the following pairs of units:
a. centimeters and inches

검증된 단계별 안내

Step 1: Understand the relationship between centimeters and inches. The standard conversion factor is that 1 inch is equal to 2.54 centimeters.

Step 2: Write the equality based on the relationship: 1 inch = 2.54 cm.

Step 3: Create the first conversion factor by expressing the equality as a fraction: \( \frac{1 \text{ inch}}{2.54 \text{ cm}} \). This conversion factor is used to convert centimeters to inches.

Step 4: Create the second conversion factor by inverting the fraction: \( \frac{2.54 \text{ cm}}{1 \text{ inch}} \). This conversion factor is used to convert inches to centimeters.

Step 5: Verify that both conversion factors are consistent with the equality and can be used interchangeably depending on the direction of the conversion.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

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 an equivalent quantity in another unit. This is essential in fields like science and engineering, where measurements need to be consistent. Understanding the relationship between different units allows for accurate calculations and comparisons.

Conversion Factors

A conversion factor is a numerical factor used to multiply or divide a quantity when converting from one unit to another. It is derived from the equivalence between the two units. For example, to convert centimeters to inches, the conversion factor is 1 inch = 2.54 centimeters, which can be used to facilitate the conversion.

Metric and Imperial Systems

The metric system and the imperial system are two different systems of measurement. The metric system is based on powers of ten and includes units like meters and liters, while the imperial system includes units like inches and gallons. Understanding these systems is crucial for performing conversions accurately, especially in international contexts.

Write the equality and two conversion factors for each of the following pairs of units:a. centimeters and inches