Textbook Question
The warmest temperature ever measured in the United States is 134 °F, recorded on July 10, 1913, in Death Valley, California. Convert that temperature to °C and K.
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Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 55b
Use the prefix multipliers to express each measurement without exponents. b. 22×10−15 s
Verified step by step guidance1
Identify the prefix that corresponds to the exponent given in the problem. Here, the exponent is -15.
Recall that the prefix for 10^{-15} is 'femto', which is abbreviated as 'f'.
Rewrite the measurement using the prefix 'femto' instead of the exponent. Therefore, 22 \times 10^{-15} s becomes 22 femtoseconds.
Ensure that the unit 's' (seconds) is correctly associated with the prefix 'femto'.
Verify that the expression is now free of exponents and correctly uses the appropriate prefix.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Scientific Notation
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It involves writing a number as a product of a coefficient and a power of ten, such as 2.2 x 10^-15. Understanding this notation is essential for converting measurements into a more manageable format.
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Standard Notation to Scientific Notation
Metric Prefixes
Metric prefixes are used to denote specific powers of ten in the metric system, allowing for easier communication of measurements. For example, 'femto-' represents 10^-15, so 22 x 10^-15 seconds can be expressed as 22 femtoseconds. Familiarity with these prefixes is crucial for converting scientific notation into standard metric units.
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Unit Conversion
Unit conversion is the process of converting a measurement from one unit to another, often involving the use of conversion factors. In this case, converting from scientific notation to a standard metric unit requires applying the appropriate metric prefix. Mastery of unit conversion is vital for accurately interpreting and communicating scientific measurements.
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