Question

Divide. Write your answer in scientific notation.
7.6×10^9/7.6×10^1

Answer 1

To divide the numbers in scientific notation, you can follow the rule that states:

\[
\frac{a \times 10^m}{b \times 10^n} = \frac{a}{b} \times 10^{m-n}
\]

In this case:

\[
\frac{7.6 \times 10^9}{7.6 \times 10^1} = \frac{7.6}{7.6} \times 10^{9-1}
\]

Calculating the fractions:

\[
\frac{7.6}{7.6} = 1
\]

Now subtract the exponents:

\[
10^{9-1} = 10^8
\]

So, the division results in:

\[
1 \times 10^8
\]

In scientific notation, this is written as:

\[
1.0 \times 10^8
\]

Thus, the final answer is:

\[
1.0 \times 10^8
\]