https://file.aiquickdraw.com/mathbot/file/1727301965603fioje5mz.jpg

The expression given is:

\[
5.4 \times 10^5 + 6.7 \times 10^4
\]

To add these two numbers in scientific notation, we need to express them with the same power of 10.

1. Rewrite \(6.7 \times 10^4\) so that it has the same exponent as \(5.4 \times 10^5\):
\[
6.7 \times 10^4 = 0.67 \times 10^5
\]

2. Now, the expression becomes:
\[
5.4 \times 10^5 + 0.67 \times 10^5
\]

3. Combine the coefficients:
\[
(5.4 + 0.67) \times 10^5 = 6.07 \times 10^5
\]

So, the final answer in scientific notation is:

\[
6.07 \times 10^5
\]

Would you like further details or clarification?

Here are 5 related questions to expand on this topic:
1. How do you multiply numbers in scientific notation?
2. How do you convert standard notation to scientific notation?
3. What is the rule for subtracting numbers in scientific notation?
4. How do you divide numbers expressed in scientific notation?
5. What is the significance of the coefficient and exponent in scientific notation?

**Tip:** When adding or subtracting numbers in scientific notation, always adjust the exponents so they match before performing the operation.

Learn how to add numbers in scientific notation: 5.4 × 10^5 + 6.7 × 10^4. This step-by-step solution explains adjusting exponents and adding coefficients for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation