High School

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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 :

To evaluate the expression

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

we notice that both terms have the same exponent, [tex]$10^5$[/tex]. This means we can add the coefficients directly.

1. Write the expression with the common factor:

[tex]$$5.78 \times 10^5 + 1.69 \times 10^5 = (5.78 + 1.69) \times 10^5.$$[/tex]

2. Add the coefficients:

[tex]$$5.78 + 1.69 = 7.47.$$[/tex]

3. Therefore, the sum in scientific notation is:

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

Thus, the final answer is:

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

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