Use the prefix multipliers to express each measurement without exponents. d. 5.2 * 106 L

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Identify the prefix multiplier that corresponds to the exponent in the measurement. In this case, the exponent is 6, which corresponds to the prefix 'mega' (M), meaning 10^6.

Rewrite the measurement using the identified prefix. Replace 10^6 with the prefix 'M'.

Express the measurement as 5.2 ML, where 'M' stands for 'mega'.

Ensure that the unit 'L' (liters) is correctly represented with the prefix, resulting in 5.2 ML.

Double-check the conversion to ensure that the prefix accurately represents the original exponent in the measurement.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Scientific Notation

Scientific notation is a way of expressing large or small numbers in a compact form, using powers of ten. For example, the number 5.2 * 10^6 represents 5.2 million. This notation simplifies calculations and comparisons by standardizing the format of numbers.

Metric Prefixes

Metric prefixes are symbols that denote specific powers of ten, allowing for easier communication of measurements. Common prefixes include 'kilo-' (10^3), 'mega-' (10^6), and 'giga-' (10^9). These prefixes help convert large numbers into more manageable forms without using exponents.

Unit Conversion

Unit conversion involves changing a measurement from one unit to another while maintaining its value. In this context, converting 5.2 * 10^6 liters to a form using metric prefixes means expressing it as 5.2 mega-liters (ML), which is a more concise way to represent the same volume.