Textbook Question
Use prefix multipliers to express each measurement without exponents. a. 38.8×105 g c. 23.4×1011 m d. 87.9×10−7 L
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Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 1.61
Express the quantity 254,998 m in each unit. a. km b. Mm c. mm d. cm
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Unit Conversion
Unit conversion is the process of converting a quantity expressed in one unit to another unit. This involves using conversion factors, which are ratios that express how many of one unit are equivalent to another. For example, to convert meters to kilometers, one would use the factor that 1 km equals 1,000 m.
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01:56
Conversion Factors
Metric System
The metric system is a decimal-based system of measurement used globally, which includes units such as meters (m), kilometers (km), and millimeters (mm). Each unit is based on powers of ten, making conversions straightforward. For instance, 1 km is 1,000 m, and 1 m is 1,000 mm, allowing for easy scaling between units.
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01:16Metric Prefixes Usage
Scientific Notation
Scientific notation is a way of expressing large or small numbers in a compact form, using powers of ten. For example, 254,998 m can be expressed as 2.54998 x 10^5 m. This notation is particularly useful in scientific contexts where precision and clarity are essential, especially when dealing with very large or very small quantities.
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02:50Standard Notation to Scientific Notation
Related Practice
Textbook Question
Convert each temperature. a. 212 °F to °C (temperature of boiling water at sea level) b. 22 °C to K (approximate room temperature) c. 0.00 K to °F (coldest temperature possible, also known as absolute zero) d. 2.735 K to °C (average temperature of the universe as measured from background black body radiation)
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Textbook Question
Use the prefix multipliers to express each measurement without exponents. c. 1.5 * 109 g
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Open Question
Complete the table. Substance pure or mixture type water pure compound coffee _______ _______ ice _______ _______ carbon _______ _______
Open Question
Indicate the number of significant figures in each number. If the number is an exact number, indicate an unlimited number of significant figures. a. 318,857,056 (2014 U.S. population) b. 2.54 cm = 1 in. c. 11.4 g/cm³ (density of lead) d. 12 = 1 dozen.
Open Question
Calculate the density of a liquid in g/mL to the correct number of significant digits, if a flask containing 9.55 mL of the liquid weighs 157.2 g with the liquid and 148.4 g when empty.