2.56 x 10^-2. Show your work

Answer 1

To express the number \( 2.56 \times 10^{-2} \) in standard decimal notation, you can follow these steps:

1. Understand the scientific notation: The expression \( 10^{-2} \) means you need to move the decimal point in the number \( 2.56 \) two places to the left.

2. Move the decimal point:

   • Start with \( 2.56 \).
   • Moving the decimal point one place to the left gives \( 0.256 \).
   • Moving it another place to the left gives \( 0.0256 \).

So, the final result of \( 2.56 \times 10^{-2} \) in decimal notation is:

\[ 0.0256 \]