What is 0.00000025 expressed in scientific notation?

A. 2.5 x 10^(-8)

B. 2.5 x 10^(-7)

C. 2.5 x 10^(7)

D. 2.5 x 10^(8)

1 answer

To express \( 0.00000025 \) in scientific notation, you want to write it in the form \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.

  1. First, we can rewrite \( 0.00000025 \) as \( 2.5 \times 10^{-7} \). Here's how we find it:
    • Move the decimal point 7 places to the right to transform \( 0.00000025 \) into \( 2.5 \).
    • Since we move the decimal to the right, the exponent is negative, giving us \( 10^{-7} \).

Thus, \( 0.00000025 \) in scientific notation is \( 2.5 \times 10^{-7} \).

So, the correct answer is:

B. 2.5 x 10^(-7)