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Ch.1 - Matter, Measurement & Problem Solving
Tro - Chemistry: A Molecular Approach 6th Edition
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 57d

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

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1
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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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.
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Standard Notation to Scientific Notation

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.
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Metric Prefixes Usage

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.
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Conversion Factors