Multiply. Write your product in scientific notation.

Question

(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).