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The problem asks to solve the operation and express the answer in scientific notation with three significant figures. The given expression is:

\[
(8.42 \times 10^3) + (2.1 \times 10^2)
\]

Let's break this down:

1. Convert the numbers to the same power of 10.
2. Add them.
3. Express the result in scientific notation.

I'll calculate this now.The result of the operation \((8.42 \times 10^3) + (2.1 \times 10^2)\) is:

\[
8.63 \times 10^3
\]

This is expressed in scientific notation with three significant figures.

Would you like more details or further clarification? Here are five related questions to expand your understanding:

1. How do you convert numbers to the same power of 10?
2. Why is scientific notation important in mathematics and science?
3. How do significant figures affect the precision of your answer?
4. What is the general process for adding numbers in scientific notation?
5. How would the answer change if we used four significant figures?

**Tip**: Always ensure that the numbers you are adding or subtracting in scientific notation have the same exponent before performing the operation.

Resuelve la operación indicada, dar la respuesta en notación científica con tres cifras significativas: (8.42 × 10^3) + (2.1 × 10^2)

Learn how to add numbers in scientific notation and express the result with three significant figures. This problem involves adding (8.42 × 10^3) and (2.1 × 10^2), and covers key concepts such as the laws of exponents and significant figures. Suitable for students in Grades 9-12.

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