Question

Multiply. Write your product in scientific notation.

(1.25×103)⋅(3.2×102)


(1 point)
Responses

4×106
4 times 10 to the 6th power

3×106
3 times 10 to the 6th power

4.45×105
4 point 4 5 times 10 to the 5th power

4×105

Answer 1

To multiply the numbers in scientific notation, you multiply the coefficients and then add the exponents.

Given:

\[
(1.25 \times 10^3) \cdot (3.2 \times 10^2)
\]

First, multiply the coefficients:

\[
1.25 \cdot 3.2 = 4.0
\]

Next, add the exponents:

\[
10^3 \cdot 10^2 = 10^{3+2} = 10^5
\]

Now, combine the results:

\[
4.0 \times 10^5
\]

In scientific notation, this is:

\[
4 \times 10^5
\]

So, the correct response is:

**4×10⁵** (4 times 10 to the 5th power).