Carry out the following conversions: (a) 0.105 in. to mm

검증된 단계별 안내

Start by identifying the conversion factors needed. We know that 1 inch is equal to 2.54 centimeters.

Convert inches to centimeters using the conversion factor: 0.105 \(\text{ in}\) \(\times\) \(\frac{2.54 \text{ cm}\)}{1 \(\text{ in}\)}.

Now, convert centimeters to millimeters. Remember that 1 centimeter is equal to 10 millimeters.

Use the conversion factor to convert centimeters to millimeters: \(\text{result in cm}\) \(\times\) \(\frac{10 \text{ mm}\)}{1 \(\text{ cm}\)}.

Combine the steps to find the final conversion from inches to millimeters.

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 another unit. This involves using conversion factors, which are ratios that express how many of one unit are equivalent to another. For example, to convert inches to millimeters, one can use the conversion factor that 1 inch equals 25.4 millimeters.

Metric System

The metric system is an internationally recognized decimal system of measurement based on powers of ten. It includes units such as meters for length, grams for mass, and liters for volume. Understanding the metric system is essential for performing conversions, as it provides a standardized framework for measuring and comparing quantities.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert one set of units to another by multiplying by conversion factors. It ensures that the units cancel appropriately, leading to the desired unit in the final answer. This method is particularly useful in chemistry and physics for ensuring that equations are dimensionally consistent.