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Evaluate and express your answer in scientific notation.

[tex]5.78 \times 10^5 + 1.69 \times 10^5[/tex]

Answer: [tex]\square \times 10^\square[/tex]

Answer :

Let's solve the problem of adding two numbers expressed in scientific notation.

We have the numbers:

- [tex]\( 5.78 \times 10^5 \)[/tex]
- [tex]\( 1.69 \times 10^5 \)[/tex]

Since these numbers have the same exponent ([tex]\(10^5\)[/tex]), we can directly add their coefficients:

1. Add the coefficients:
[tex]\[
5.78 + 1.69 = 7.47
\][/tex]

2. Keep the same power of ten:
- The exponent [tex]\(10^5\)[/tex] remains unchanged.

So, combining the result from the addition of the coefficients with the unchanged power of ten:

[tex]\[
7.47 \times 10^5
\][/tex]

Therefore, the answer expressed in scientific notation is:

[tex]\[
7.47 \times 10^5
\][/tex]

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