https://file.aiquickdraw.com/mathbot/file/1730907434859cjxk89pu.jpg

To calculate \((7.4 \times 10^6) + (5.1 \times 10^6)\) and give the answer in standard index form, we can proceed as follows:

### Step-by-Step Solution:

1. Both terms have the same power of \(10^6\), so we can add the coefficients directly:
   \[
   7.4 + 5.1 = 12.5
   \]

2. Now, we combine this result with the common power of 10:
   \[
   12.5 \times 10^6
   \]

3. To ensure the answer is in proper standard index form, we can express \(12.5\) as \(1.25 \times 10^1\):
   \[
   (1.25 \times 10^1) \times 10^6 = 1.25 \times 10^7
   \]

### Final Answer:
\[
1.25 \times 10^7
\]

Would you like more details on this process, or do you have any questions?

Here are some related questions for further exploration:

1. How do you add numbers in scientific notation with different exponents?
2. Why is it important to keep answers in standard index form in scientific notation?
3. How would this process change if we were subtracting instead of adding?
4. What if the numbers had been in a different power of 10, say \(10^5\) or \(10^4\)?
5. How can scientific notation help in real-world applications, like calculating distances in astronomy?

**Tip:** When adding numbers in scientific notation, make sure the powers of 10 match before adding the coefficients.

Calculate (7.4 × 10^6) + (5.1 × 10^6). Give your answer in standard index form.

Learn how to add numbers in scientific notation with the problem (7.4 × 10^6) + (5.1 × 10^6). Follow the step-by-step solution to express the answer in standard index form, covering key concepts in scientific notation and addition of powers of 10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation