Add  (9.5×10^3s)+(9.1×10^4s)+(0.0080×10^6s)
Your answer should be expressed using the appropriate number of significant figures.

To add these numbers and express the result with the correct number of significant figures, let's first express everything in scientific notation and then sum the terms:

- \( 9.5 \times 10^3 \, \text{s} \)
- \( 9.1 \times 10^4 \, \text{s} \)
- \( 0.0080 \times 10^6 \, \text{s} = 8.0 \times 10^3 \, \text{s} \)

Now, we add these values:

\[
9.5 \times 10^3 + 9.1 \times 10^4 + 8.0 \times 10^3
\]

To make it easier to add, let's express all terms with the same exponent (power of \(10^4\)):

\[
0.95 \times 10^4 + 9.1 \times 10^4 + 0.80 \times 10^4
\]

Now we can add the coefficients:

\[
0.95 + 9.1 + 0.80 = 10.85
\]

Thus, the sum is:

\[
10.85 \times 10^4 \, \text{s}
\]

We now need to express the answer using the correct number of significant figures. The least number of significant figures in the original terms is 2 (from \(9.5 \times 10^3\) and \(9.1 \times 10^4\)), so we round the result to 2 significant figures:

\[
10.85 \times 10^4 \, \text{s} \approx 11 \times 10^4 \, \text{s}
\]

Finally, express this in proper scientific notation:

\[
1.1 \times 10^5 \, \text{s}
\]

The sum is \( 1.1 \times 10^5 \, \text{s} \).

Would you like further details or have any questions?

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Here are 5 related questions to explore further:

1. How do you determine the correct number of significant figures in a sum or product?
2. What are some other examples of adding numbers in scientific notation?
3. How do you handle subtraction with scientific notation and significant figures?
4. What is the importance of significant figures in scientific measurements?
5. How do rounding rules affect the final result in significant figure calculations?

**Tip:** When adding or subtracting, match the exponents to make the addition easier!

Add (9.5×10^3s)+(9.1×10^4s)+(0.0080×10^6s). Your answer should be expressed using the appropriate number of significant figures.

Learn how to add numbers in scientific notation: (9.5×10^3s), (9.1×10^4s), and (0.0080×10^6s). This problem demonstrates the correct use of significant figures and proper rounding techniques. Suitable for high school students in Grades 10-12.

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