Question - Converting Large Number to Scientific and Floating-Point Notation

To write the number "googol" in scientific notation, we recognize that a googol is defined as \(10^{100}\). Thus in scientific notation, it is simply:

\(1 \times 10^{100}\)

For the floating-point notation, which is typically used in calculators and computers for representing numbers, it would be impractical to display all the digits of a googol. However, depending on the calculator's display, it could be approximated to a certain number of significant digits. Since the options given are limited and none can fully represent a googol, there's no perfect match, but the understanding is that we're looking for the representation closest to \(10^{100}\).

The closest approximation from the options for a floating-point notation is \(1 \times 10^{100}\), which aligns with the scientific notation.