Which quantity in each of the following pairs is smaller? (c) 2.9 GA or 3.1 * 1015 mA

검증된 단계별 안내

Understand the units involved: GA stands for gigaamperes and mA stands for milliamperes.

Convert gigaamperes to amperes: 1 GA = 10^9 A, so 2.9 GA = 2.9 * 10^9 A.

Convert milliamperes to amperes: 1 mA = 10^-3 A, so 3.1 * 10^15 mA = 3.1 * 10^15 * 10^-3 A.

Simplify the conversion for milliamperes: 3.1 * 10^15 * 10^-3 A = 3.1 * 10^12 A.

Compare the two values in amperes: 2.9 * 10^9 A and 3.1 * 10^12 A to determine which is smaller.

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. In this question, we need to convert gigaamperes (GA) to milliamperes (mA) to compare the two quantities directly. Understanding the relationship between these units is crucial, as 1 GA equals 10^9 A and 1 A equals 1000 mA.

Scientific Notation

Scientific notation is a way of expressing numbers that are too large or too small in a compact form. It is written as a product of a number between 1 and 10 and a power of ten. In this question, 3.1 * 10^15 mA is in scientific notation, which allows for easier comparison with other large numbers, such as 2.9 GA.

Magnitude Comparison

Magnitude comparison involves evaluating the size of two quantities to determine which is larger or smaller. After converting both quantities to the same unit, we can directly compare their numerical values. This concept is essential for answering the question accurately, as it requires a clear understanding of the relative sizes of the converted values.