Question

scientific notation of (3x10^5)divided by(12x10^8)

Answer 1

To divide the numbers in scientific notation, follow these steps:

1. Divide the coefficients (the numbers in front).
2. Subtract the exponents of the powers of 10.

Given: \((3 \times 10^5) \div (12 \times 10^8)\)

1. Divide the coefficients:
\[
\frac{3}{12} = \frac{1}{4} = 0.25
\]

2. Subtract the exponents:
\[
10^{5-8} = 10^{-3}
\]

Now, combine the two results:
\[
0.25 \times 10^{-3}
\]

To express \(0.25\) in scientific notation, we can write it as \(2.5 \times 10^{-1}\). Therefore:

\[
0.25 \times 10^{-3} = (2.5 \times 10^{-1}) \times 10^{-3} = 2.5 \times 10^{-1 - 3} = 2.5 \times 10^{-4}
\]

Thus, the result of \((3 \times 10^5) \div (12 \times 10^8)\) in scientific notation is:

\[
\boxed{2.5 \times 10^{-4}}
\]