Textbook Question
Use the prefix multipliers to express each measurement without exponents. b. 22×10−15 s
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Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 56b
Use prefix multipliers to express each measurement without exponents. b. 55.2×10−10 s
Verified step by step guidance1
Identify the given measurement: 55.2 \times 10^{-10} \text{s}.
Recognize that the goal is to express this measurement using a prefix multiplier instead of an exponent.
Recall the common metric prefixes and their corresponding powers of ten. For example, nano (n) corresponds to 10^{-9}, pico (p) corresponds to 10^{-12}, and so on.
Determine which prefix multiplier is closest to the given exponent. In this case, 10^{-10} is between nano (10^{-9}) and pico (10^{-12}).
Convert the measurement to use the appropriate prefix by adjusting the numerical value accordingly, ensuring the overall value remains the same.
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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 5.52 x 10^-9. Understanding this notation is essential for converting measurements into a more manageable format.
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02:50
Standard Notation to Scientific Notation
Prefix Multipliers
Prefix multipliers are standard prefixes used in the metric system to denote specific powers of ten. For example, 'nano-' represents 10^-9, and 'pico-' represents 10^-12. These prefixes allow for easier communication of measurements by replacing the power of ten with a more intuitive term.
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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 context, converting from scientific notation to a standard metric prefix requires understanding how to manipulate the exponent and apply the appropriate prefix to express the measurement clearly.
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01:56Conversion Factors
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