Questions: Write in scientific notation. 0.00000655 0.00000655 =

Solution Steps

To convert a number to scientific notation, we need to express it in the form \( a \times 10^b \), where \( 1 \leq a < 10 \) and \( b \) is an integer. For the given number \( 0.00000655 \), we need to move the decimal point to the right until we have a number between 1 and 10, and count the number of places moved. This count will be the negative exponent of 10.

To express the number \( 0.00000655 \) in scientific notation, we first identify the significant digits. We move the decimal point to the right until we have a number between 1 and 10. In this case, moving the decimal point 6 places to the right gives us \( 6.55 \).

Since we moved the decimal point 6 places to the right, the exponent will be negative. Thus, we have \( 10^{-6} \).

Combining the significant digits and the exponent, we express \( 0.00000655 \) in scientific notation as: \[ 6.55 \times 10^{-6} \]

Final Answer