Use appropriate metric prefixes to write the following measurements without use of exponents: c. 6.48×10^-7 L

Key Concepts

Metric Prefixes

Metric prefixes are standardized terms used to denote specific powers of ten in the metric system. They simplify the representation of large or small quantities by providing a shorthand way to express these values. For example, 'nano-' represents 10^-9, while 'micro-' represents 10^-6, allowing for easier communication of measurements in scientific contexts.

Scientific Notation

Scientific notation is a method of expressing numbers as a product of a coefficient and a power of ten. It is particularly useful for handling very large or very small numbers, as it condenses them into a more manageable form. In the case of 6.48×10^-7 L, the coefficient is 6.48, and the exponent indicates the decimal point's position, which can be converted to a metric prefix.

Conversion to Standard Form

Converting a measurement from scientific notation to standard form involves rewriting the number without exponents. This process requires understanding how to shift the decimal point based on the exponent's value. For example, 6.48×10^-7 L becomes 0.000000648 L, which can also be expressed using the appropriate metric prefix, '648 nL' (nanoliters), for clarity and conciseness.