Use the prefix multipliers to express each measurement without exponents. b. 11 * 10 - 12 s

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Identify the prefix that corresponds to the exponent of 10. In this case, the exponent is -12, which corresponds to the prefix 'pico' (p).

Replace the exponent of 10 with the appropriate prefix. Here, 10^-12 becomes 'pico'.

Combine the numerical value with the new prefix. Multiply 11 by the prefix 'pico'.

Express the final result as 11 picoseconds, abbreviated as 11 ps.

Ensure the unit of measurement remains the same, in this case, seconds (s), modified by the prefix to picoseconds (ps).

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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 in a more manageable form. It uses powers of ten to represent values, where a number is expressed as a product of a coefficient (between 1 and 10) and a power of ten. For example, 11 * 10^-12 seconds can be rewritten as 1.1 * 10^-11 seconds.

Metric Prefixes

Metric prefixes are used to denote specific powers of ten in measurements, making it easier to express very large or very small quantities. Common prefixes include 'kilo-' (10^3), 'milli-' (10^-3), and 'nano-' (10^-9). In the case of 11 * 10^-12 seconds, the prefix 'pico-' (p) represents 10^-12, allowing us to express the measurement as 11 picoseconds.

Unit Conversion

Unit conversion involves changing a measurement from one unit to another while maintaining the same quantity. This process often requires the use of conversion factors, which are ratios that express how many of one unit are equivalent to another. In this context, converting 11 * 10^-12 seconds to picoseconds involves recognizing that 1 picosecond equals 10^-12 seconds, simplifying the expression.

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