Write the number 503.5 × 10-10 in scientific notation.

A.
5.035 × 10-7
B.
5.035 × 10-12
C.
5.035 × 10-8
D.
50.35 × 10-8

1 answer

To convert 503.5 × 10⁻¹⁰ into scientific notation, we should express it in the form \( a \times 10^b \) where \( 1 \leq a < 10 \).

First, we can convert 503.5 into a number between 1 and 10:

503.5 can be written as \( 5.035 \times 10^2 \) (since \( 503.5 = 5.035 \times 100 \)).

Now we combine this with the original power of ten:

\( 503.5 \times 10^{-10} = 5.035 \times 10^2 \times 10^{-10} \).

When we multiply the powers of ten, we add the exponents:

\( 10^{2 + (-10)} = 10^{-8} \).

So, we have:

\( 503.5 \times 10^{-10} = 5.035 \times 10^{-8} \).

Thus, the correct answer is:

C. 5.035 × 10⁻⁸.