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

Problem 31d

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Chapter 1, Problem 31d

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

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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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Conversion Factors

Related Practice

What is the kinetic energy and velocity of the aluminum sphere in Problem 1.4 at the moment it hits the ground? (Assume that energy is conserved during the fall and that 100% of the sphere's initial potential energy is converted to kinetic energy by the time impact occurs.)

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Textbook Question

Convert the following expressions into exponential notation: (a) 3 terameters (tm)

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Textbook Question

Convert the following expressions into exponential notation: (b) 2.5 femtoseconds (fs)

Use appropriate metric prefixes to write the following measurements without use of exponents: (c) 1.828 * 10-3 s

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Textbook Question

Use appropriate metric prefixes to write the following measurements without use of exponents: (d) 3.523×10⁹ m³

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Textbook Question

Use appropriate metric prefixes to write the following measurements without use of exponents: (g) 3.552×10¹² L.

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