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Which is equivalent to the following expression?

[tex]\left(4 \times 10^8\right)+\left(3 \times 10^6\right)+\left(5 \times 10^5\right)+\left(1 \times 10^3\right)+\left(2 \times 10^2\right)+\left(8 \times 10^0\right)[/tex]

A. 100,351,028
B. 403,501,208
C. 400,353,208
D. 403,053,208

Answer :

To find the equivalent value of the given expression, we'll evaluate each part of it and then add them together for the complete result. Let's break it down:

1. Calculate each part:
- First, calculate [tex]\(4 \times 10^8\)[/tex]:
[tex]\[
4 \times 10^8 = 400,000,000
\][/tex]

- Next, calculate [tex]\(3 \times 10^6\)[/tex]:
[tex]\[
3 \times 10^6 = 3,000,000
\][/tex]

- Then, calculate [tex]\(5 \times 10^5\)[/tex]:
[tex]\[
5 \times 10^5 = 500,000
\][/tex]

- For [tex]\(1 \times 10^3\)[/tex]:
[tex]\[
1 \times 10^3 = 1,000
\][/tex]

- Next, calculate [tex]\(2 \times 10^2\)[/tex]:
[tex]\[
2 \times 10^2 = 200
\][/tex]

- Finally, calculate [tex]\(8 \times 10^0\)[/tex]:
[tex]\[
8 \times 10^0 = 8
\][/tex]

2. Add all parts together:
[tex]\[
400,000,000 + 3,000,000 + 500,000 + 1,000 + 200 + 8 = 403,501,208
\][/tex]

Therefore, the value of the expression is 403,501,208.

So, the correct equivalent from the options given is:

- 8) [tex]\(403,501,208\)[/tex]

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