Let's solve the problem step-by-step to understand how the final result is achieved.
1. Break Down Each Term:
We start by breaking down the expression [tex]\(4 \times 10^5 + 8.2 \times 10^2\)[/tex].
- The first term is [tex]\(4 \times 10^5\)[/tex].
- The second term is [tex]\(8.2 \times 10^2\)[/tex].
2. Calculate the Values of Each Term:
- For the first term:
[tex]\[
4 \times 10^5 = 400000.
\][/tex]
- For the second term:
[tex]\[
8.2 \times 10^2 = 820.0.
\][/tex]
3. Add the Terms Together:
Now, we need to add the two results obtained from the calculations of the separate terms:
[tex]\[
400000 + 820.0 = 400820.0.
\][/tex]
4. Verify and Write the Final Result:
The sum of [tex]\(4 \times 10^5\)[/tex] and [tex]\(8.2 \times 10^2\)[/tex] is:
[tex]\[
400820.0.
\][/tex]
Therefore, we can confirm that the correct solution to the expression [tex]\(4 \times 10^5 + 8.2 \times 10^2\)[/tex] is [tex]\(400820.0\)[/tex].
