Question

write 0.0000725 in scientific notation.

Explanation:

Step1: Identify the coefficient

To write a number in scientific notation \( a \times 10^n \) where \( 1 \leq |a| < 10 \), we move the decimal point in \( 0.0000725 \) to the right until we get a number between 1 and 10. Moving the decimal 5 places to the right gives \( 7.25 \).

Step2: Determine the exponent

Since we moved the decimal point 5 places to the right, the exponent \( n \) is -5 (because the original number is less than 1, the exponent is negative). So the scientific notation is \( 7.25 \times 10^{-5} \).

Answer:

\( 7.25 \times 10^{-5} \)