Solve the calculation, use the correct rounding rule, and report the answer in decimal
notation: (5.3x10^-4) + (8.20x10^-3) =

We are asked to solve:

\[
(5.3 \times 10^{-4}) + (8.20 \times 10^{-3})
\]

### Step 1: Express the numbers in decimal form.

\[
5.3 \times 10^{-4} = 0.00053
\]
\[
8.20 \times 10^{-3} = 0.00820
\]

### Step 2: Perform the addition.

\[
0.00053 + 0.00820 = 0.00873
\]

### Step 3: Apply the correct rounding rule.

- The number \(5.3 \times 10^{-4}\) has two significant figures.
- The number \(8.20 \times 10^{-3}\) has three significant figures.

The result should be rounded to **two significant figures** because the least number of significant figures in the original terms is two.

Thus, \(0.00873\) rounded to two significant figures is:

\[
0.0087
\]

### Final Answer:
\[
0.0087
\]

Would you like further details or have any questions?

Here are some related questions for further exploration:
1. What is scientific notation and how is it used in calculations?
2. How do you determine the number of significant figures in a result?
3. How do you convert between standard decimal notation and scientific notation?
4. How do you perform addition and subtraction with numbers in scientific notation?
5. Why is it important to follow significant figure rules in scientific calculations?

**Tip:** Always pay attention to the number of significant figures in each term when performing operations like addition and subtraction.

Solve the calculation, use the correct rounding rule, and report the answer in decimal notation: (5.3x10^-4) + (8.20x10^-3) =

Solve the addition of numbers in scientific notation: (5.3x10^-4) + (8.20x10^-3). This problem includes converting numbers to decimal form, performing the addition, and applying the significant figures rounding rule. Detailed step-by-step solution provided, suitable for students in Grades 9-11.

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