solve this equation (9.876×10^35) + (5.4321×10^-13)=? and write the answer in scientific notation

To solve the equation:

\[
(9.876 \times 10^{35}) + (5.4321 \times 10^{-13}) 
\]

Given the extremely large difference in magnitudes between \(10^{35}\) and \(10^{-13}\), the smaller term \(5.4321 \times 10^{-13}\) will have a negligible effect on the sum. Therefore, the sum is approximately equal to \(9.876 \times 10^{35}\).

When expressed in scientific notation, the answer is:

\[
9.876 \times 10^{35}
\]

Would you like further details or explanations on this problem? Here are five related questions for you to explore:

1. How does scientific notation help in handling very large or small numbers?
2. What are the rules for adding numbers in scientific notation with different exponents?
3. Can you provide an example where the smaller number significantly affects the result in scientific notation?
4. How do you subtract numbers in scientific notation with different exponents?
5. How would you multiply two numbers in scientific notation?

**Tip:** When adding numbers in scientific notation with vastly different exponents, always check if the smaller number significantly affects the result before simplifying the sum.

Learn how to solve the equation (9.876 × 10^35) + (5.4321 × 10^-13) and write the answer in scientific notation. This problem demonstrates adding numbers in scientific notation with vastly different exponents, where the smaller number has a negligible effect on the sum. Suitable for students in Grades 7-9.

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