Ch.1 - Introduction: Matter, Energy, and Measurement

Problem 31d

Chapter 1, Problem 31d

Convert the following expressions into exponential notation: (d) 8.3 megagrams (mg).

Verified step by step guidance

Understand that 'mega' is a metric prefix that represents $10^6$.

Recognize that 1 megagram (Mg) is equal to $10^6$ grams (g).

Convert 8.3 megagrams to grams by multiplying 8.3 by $10^6$.

Express the result in exponential notation as $8.3 \times 10^6$ grams.

Remember that the unit 'megagram' is often abbreviated as 'Mg', not 'mg', which stands for milligrams.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Metric Prefixes

Metric prefixes are used to denote specific powers of ten in the metric system. For example, 'mega-' represents a factor of 10^6, meaning one megagram is equal to one million grams. Understanding these prefixes is essential for converting between different units of measurement.

Exponential Notation

Exponential notation is a way to express numbers as a base raised to a power, which simplifies the representation of very large or very small numbers. For instance, 8.3 megagrams can be expressed as 8.3 x 10^6 grams, making calculations and comparisons easier.

Unit Conversion

Unit conversion involves changing a quantity expressed in one unit to another unit while maintaining the same value. This process often requires multiplying by a conversion factor, such as converting megagrams to grams by using the relationship that 1 megagram equals 10^6 grams.

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Related Practice

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