Question

(1.25x10^5)x(9.2x10^2)
scientific notation

Answer 1

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

1. Multiply the coefficients (the numbers in front).
2. Add the exponents of the powers of 10.

Given the expression:

\[
(1.25 \times 10^5) \times (9.2 \times 10^2)
\]

**Step 1: Multiply the coefficients.**

\[
1.25 \times 9.2 = 11.5
\]

**Step 2: Add the exponents.**

\[
10^5 \times 10^2 = 10^{(5 + 2)} = 10^7
\]

**Step 3: Combine the results.**

\[
11.5 \times 10^7
\]

Since \(11.5\) is not between \(1\) and \(10\), we'll convert it into proper scientific notation:

\[
11.5 = 1.15 \times 10^1
\]

Now, we add the exponents:

\[
1.15 \times 10^1 \times 10^7 = 1.15 \times 10^{(1 + 7)} = 1.15 \times 10^8
\]

Therefore, the result in scientific notation is:

\[
\boxed{1.15 \times 10^8}
\]