Perform the indicated operation. Express your final answer to the correct number of significant figures
6.72 * 10 ^ - 34 + 4.5559 * 10 ^ - 35 + 9.8 * 10 ^ - 36

To perform the indicated operation, we need to add the three terms, each of which is expressed in scientific notation. We must ensure that the numbers are added correctly and that the final answer is expressed to the appropriate number of significant figures.

### Step 1: Express each number in the same power of 10

The given expression is:

\[
6.72 \times 10^{-34} + 4.5559 \times 10^{-35} + 9.8 \times 10^{-36}
\]

Since \(10^{-34}\) is the largest exponent, let's convert all the terms to this power:

\[
6.72 \times 10^{-34} + 0.45559 \times 10^{-34} + 0.098 \times 10^{-34}
\]

### Step 2: Add the numbers

Now, we can add these numbers together:

\[
6.72 + 0.45559 + 0.098 = 7.27359 \times 10^{-34}
\]

### Step 3: Determine the correct number of significant figures

- \(6.72\) has 3 significant figures.
- \(0.45559\) has 5 significant figures.
- \(0.098\) has 2 significant figures.

The result should be rounded to the least number of significant figures among the operands, which is 2 significant figures.

### Step 4: Round the result

Rounding \(7.27359 \times 10^{-34}\) to 2 significant figures:

\[
7.3 \times 10^{-34}
\]

### Final Answer:

The final answer, expressed to the correct number of significant figures, is:

\[
\boxed{7.3 \times 10^{-34}}
\]

Would you like more details, or do you have any other questions?

Here are five related questions you might find interesting:

1. How do you determine the number of significant figures in a calculation involving addition or subtraction?
2. Why is it important to express numbers in scientific notation when dealing with very large or very small values?
3. How do you convert a number from one power of 10 to another in scientific notation?
4. What are the rules for rounding numbers to a specific number of significant figures?
5. Can you provide an example of a real-world situation where this kind of calculation might be necessary?

**Tip:** When adding numbers in scientific notation, always align them to the same power of 10 to ensure accuracy in your calculations.

Perform the indicated operation. Express your final answer to the correct number of significant figures: 6.72 * 10^-34 + 4.5559 * 10^-35 + 9.8 * 10^-36.

Learn how to add numbers in scientific notation and express the result with the correct number of significant figures. This example problem involves adding 6.72 * 10^-34, 4.5559 * 10^-35, and 9.8 * 10^-36, demonstrating key concepts in scientific notation and significant figures. Suitable for students in Grades 10-12.

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