Express each number in exponential notation. (a) 8950 . (b)...

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Key Concepts

Exponential Notation

Exponential notation, also known as scientific notation, is a method for expressing numbers as the product of a coefficient and a power of ten. This format is especially useful for representing very large or very small numbers compactly, making them easier to read, compare, and use in calculations. By writing numbers in this form, one emphasizes the magnitude of the number through the exponent while the coefficient retains its significant figures.

Coefficient

The coefficient in exponential notation is the number that contains the significant figures of the original number. This value is typically adjusted so that it falls between 1 (inclusive) and 10 (exclusive). Adjusting the coefficient in this way standardizes the representation, providing a consistent method for writing numbers regardless of their original size.

Exponent

The exponent in exponential notation indicates how many places the decimal point has been moved to convert the original number into a standardized form. A positive exponent means the decimal was moved to the left, signifying a larger number, while a negative exponent indicates the decimal point was moved to the right, signifying a smaller number. The exponent directly corresponds to the order of magnitude of the original number.

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