Question

Use division of numbers in scientific notation to answer the question.

(8.64 × 104)
(2.4 × 102)

What is the quotient in scientific notation?
3.6 × 102
6.24 × 102
1.104 × 107
2.0736 × 109

Answer 1

To divide numbers in scientific notation, you can follow these steps:

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

Let's apply these steps to the given numbers:

\[
\frac{8.64 \times 10^4}{2.4 \times 10^2}
\]

**Step 1: Divide the coefficients.**

\[
\frac{8.64}{2.4} = 3.6
\]

**Step 2: Subtract the exponents.**

\[
10^{4 - 2} = 10^2
\]

Putting these results together, we get:

\[
3.6 \times 10^2
\]

So, the quotient in scientific notation is:

\[
\boxed{3.6 \times 10^2}
\]