Evaluate (2.71 × 104) + (3.2 × 102). Express the result in scientific notation.



To evaluate \((2.71 \times 10^4) + (3.2 \times 10^2)\) and express the result in scientific notation:

1. Rewrite both numbers in standard form:

   - \(2.71 \times 10^4 = 27,100\)
   - \(3.2 \times 10^2 = 320\)

2. Add them together:

   \[
   27,100 + 320 = 27,420
   \]

3. Convert the result back into scientific notation:

   \[
   27,420 = 2.742 \times 10^4
   \]

So, the result in scientific notation is:
\[
2.742 \times 10^4
\]

Would you like more details or have any questions?

Here are 5 related questions to expand this concept:

1. How would you add \((1.5 \times 10^3) + (4.3 \times 10^2)\) in scientific notation?
2. What is the process of multiplying numbers in scientific notation?
3. How do you subtract two numbers in scientific notation?
4. How would you convert \(4.56 \times 10^5\) into standard form?
5. What is the benefit of using scientific notation in solving large or small numbers?

**Tip:** When adding or subtracting numbers in scientific notation, it's often helpful to convert them to standard form first, perform the operation, and then convert back to scientific notation.

Evaluate (2.71 × 10^4) + (3.2 × 10^2). Express the result in scientific notation.

Learn how to add numbers in scientific notation with the example (2.71 × 10^4) + (3.2 × 10^2). This problem demonstrates key concepts of scientific notation, the addition of powers of 10, and converting back to scientific notation. Ideal for Grades 8-10 students.

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