Answer :
Sure, let's break this down step by step.
To find the product of [tex]\(8.2 \times 10^9\)[/tex] and [tex]\(4.5 \times 10^{-5}\)[/tex] in scientific notation, follow these steps:
1. Multiply the coefficients (the numbers in front):
[tex]\[
8.2 \times 4.5
\][/tex]
2. Add the exponents of the powers of 10:
[tex]\[
10^9 \times 10^{-5} = 10^{9-5} = 10^4
\][/tex]
3. First, calculate the product of the coefficients:
[tex]\[
8.2 \times 4.5 = 36.9
\][/tex]
4. Next, combine this product with the power of 10:
[tex]\[
36.9 \times 10^4
\][/tex]
So, the product of [tex]\(8.2 \times 10^9\)[/tex] and [tex]\(4.5 \times 10^{-5}\)[/tex] in scientific notation is:
[tex]\[
36.9 \times 10^4
\][/tex]
Since we want to match this with one of the given answer choices, which might present the number in proper scientific notation, we compare directly and confirm that:
[tex]\[
36.9 \times 10^4
\][/tex]
is indeed one of the provided choices, matching it correctly.
Therefore, the correct answer is:
[tex]\[
36.9 \times 10^4
\][/tex]
To find the product of [tex]\(8.2 \times 10^9\)[/tex] and [tex]\(4.5 \times 10^{-5}\)[/tex] in scientific notation, follow these steps:
1. Multiply the coefficients (the numbers in front):
[tex]\[
8.2 \times 4.5
\][/tex]
2. Add the exponents of the powers of 10:
[tex]\[
10^9 \times 10^{-5} = 10^{9-5} = 10^4
\][/tex]
3. First, calculate the product of the coefficients:
[tex]\[
8.2 \times 4.5 = 36.9
\][/tex]
4. Next, combine this product with the power of 10:
[tex]\[
36.9 \times 10^4
\][/tex]
So, the product of [tex]\(8.2 \times 10^9\)[/tex] and [tex]\(4.5 \times 10^{-5}\)[/tex] in scientific notation is:
[tex]\[
36.9 \times 10^4
\][/tex]
Since we want to match this with one of the given answer choices, which might present the number in proper scientific notation, we compare directly and confirm that:
[tex]\[
36.9 \times 10^4
\][/tex]
is indeed one of the provided choices, matching it correctly.
Therefore, the correct answer is:
[tex]\[
36.9 \times 10^4
\][/tex]
